case study question on integers class 6

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Extra Questions for Class 6 Math Integers Chapter 6

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Extra Questions for Class 6 Math Integers Chapter 6. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in  myCBSEguide   website and mobile app. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in  CBSE Class 6 Mathematics   syllabus  and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6.

CBSE Class 6 Maths Extra Questions

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Important Questions of Class 6 Chapter 6 Mathematics

Ch-6 Integers

• None of these

Match the following:

Fill in the blanks:

• When we subtract -10 from 18 we get ______.
• _____ is an integer which is neither positive nor negative.
• 272 – 198 – ______ = 0.
• 15 + _____ =0

State whether the following statements are true or false:

• If a and b are any two integers such that a > b, then -a > – b.
• If the sum of an integer and its opposite is zero, then they are called additive inverses of each other.
• The negative of 0 is -0.
• The sum of positive and negative integers is always negative.

Write four negative integers less than –20.

Write all the integers between -8 and -15. (Write them in the increasing order.)

Find the solution of the following :(–9) + (+13)

Subtract :(–20) – (–13)

Find the value of :(–7) + (–9) + 4 + 16

Using number line, add the following integers: 9 + (-6).

The temperature on a certain morning is -11℃ at 5 a. m. If the temperature drops 3 degree at 6 a.m. and rises 5 degree at 8 a.m. and again drops 3 degree at 9 a.m. What is the temperature at 9 a.m.?

• (c) -40 Explanation: below means less than 0 so it is – 40
• 5 Explanation: 7 – 2 = 5
• < Explanation: -3 -6 = -9 -3 – (-6) =- 3 +6 = 6- 3 = 3 so -9 < 3
• (a) 3 Explanation: intergers between -2 and 2 are -1,0, 1 so 3 integers
• 6 Explanation: -9 + 15 = 15 – 9 = 6
• – (r)
• – (s)
• – (q)
• – ( p)
• False; zero is neither negative nor positive
• Four negative integers less than –20 are -21, -22, -23 and – 24.
• The integers between –8 and –15 in increasing order are –14, –13, –12, –11, –10 and –9.
• (–9) + (+13) = (–9) + (+9) + (+4) = 0 + (+4) = +4
• (–20) – (–13) = (–20) + (additive inverse of -13) = (–20) + (13) = –7
• (–7) + (–9) + 4 + 16 = (–16) + 20 = (–16) + 16 + 4 = 0 + 4 = 4
• Temperature at 5 a.m. = -11℃ Temperature decreased at 6 a.m. = 3℃ = -3 Temperature raised at 8 a.m. = 5℃ = +5 Temperature decreased at 9 a.m. = 3℃ = -3 Final temperature at 9 a.m. = (-11) + (-3) + (+5) + (-3) = -11 – 3 + 5 – 3 = -17 + 5 = -12℃.

Chapter Wise Extra Questions for Class 6 Mathematics

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Ideas
• Understanding Elementary Shapes
• Data handling
• Mensuration
• Ratio and Proportion
• Practical Geometry

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4 thoughts on “Extra Questions for Class 6 Math Integers Chapter 6”

Thanks for the content it’s superb

There are no good questions. Means like some add or subtracting of integers .I’m from class 6 . Cbse school. Name-harapriya barla. Age – 11

These questions are not suitable to prepare for exams……….they are for beginners only.

these are too easy bro

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6th Class Mathematics Integers Question Bank

Done integers total questions - 71.

question_answer 1) What is the set of negative numbers and whole numbers called?

A)  The set of natural numbers done clear

B)  The set of integers   done clear

C)  The set of positive numbers done clear

D)  The set of negative numbers done clear

question_answer 2) Which of the following is the greatest negative integer?

A)  \[\text{-100}\] done clear

B) Does not exist. done clear

C) \[\text{-1}\]                         done clear

D) \[\text{-9}\] done clear

question_answer 3) Which number is neither positive nor negative?

A) 1                             done clear

B) 5 done clear

C) 0                               done clear

D) 10 done clear

question_answer 4) What is the number of negative integers between -11 and 11?

A) 10                            done clear

B) 11 done clear

C) 0                             done clear

D) 22 done clear

question_answer 5) The opposite of -36 is 36. Which is the only integer that does not have an opposite ?

A)  -100 done clear

B)  0   done clear

C)  No such number exists in Z. done clear

D)  476 done clear

question_answer 6) Which of these is the smallest positive integer?

A)  0                                             done clear

B)  100 done clear

C)  1                               done clear

D) 9 done clear

question_answer 7) To which side of 0 on a horizontal number line are the negative integers located?

A) Right     done clear

B) Left   done clear

C) Above  done clear

D) Below done clear

question_answer 8) How is the opposite of rise in temperature by \[\text{5 }\!\!{}^\circ\!\!\text{ C}\] denoted?

A) \[\text{+5 }\!\!{}^\circ\!\!\text{ C}\]      done clear

B) \[\text{-15 }\!\!{}^\circ\!\!\text{ C}\] done clear

C) \[\text{-5 }\!\!{}^\circ\!\!\text{ C}\]        done clear

D) \[\text{+10 }\!\!{}^\circ\!\!\text{ C}\] done clear

question_answer 9) What is the integer representation of walking 3km south?

A)  Walking 3 km towards the north done clear

B)  -3 km   done clear

C)  +3 km done clear

D)  +3 done clear

question_answer 10) Which symbol should be placed in the box to make \[-\text{56}\,\,\square \,-64\] true?

A) <                         done clear

B) = done clear

C) > done clear

D) Either [a] or [b]. done clear

question_answer 11) On a vertical number line, where are the positive numbers placed?

A)  To the right of 0. done clear

B)  To the left of 0. done clear

C)  Above 0.   done clear

D)  Below zero. done clear

question_answer 12) What is the opposite of a profit of Rs. 250?

A) + Rs. 250             done clear

B) A loss of Rs. 250   done clear

C) + 250                    done clear

D) A gain of Rs. 250 done clear

A)  (i)-[a], (ii)-[b], (iii)-[c], (iv)-[d] done clear

B)  (i)-[d], (ii)-[a], (iii)-[b], (iv)-[c]   done clear

C)  (i)-[b], (ii)-[d], (iii)-[a], (iv)-[c] done clear

D) (i)-[c], (ii)-[d], (iii)-[a], (iv)-[b] done clear

A)  \[\text{8 }\!\!{}^\circ\!\!\text{ C}\]                                        done clear

B)  \[\text{10 }\!\!{}^\circ\!\!\text{ C}\]   done clear

C)  \[\text{12 }\!\!{}^\circ\!\!\text{ C}\]      done clear

D) \[\text{14 }\!\!{}^\circ\!\!\text{ C}\] done clear

A)  \[\text{7 }\!\!{}^\circ\!\!\text{ C}\]                        done clear

B) \[\text{12 }\!\!{}^\circ\!\!\text{ C}\] done clear

C)  \[\text{-5 }\!\!{}^\circ\!\!\text{ C}\]                        done clear

D)  \[\text{10 }\!\!{}^\circ\!\!\text{ C}\] done clear

A) \[\text{8 }\!\!{}^\circ\!\!\text{ C}\]        done clear

B) \[\text{10 }\!\!{}^\circ\!\!\text{ C}\] done clear

C) \[\text{-10 }\!\!{}^\circ\!\!\text{ C}\]    done clear

D) \[\text{-14 }\!\!{}^\circ\!\!\text{ C}\]   done clear

A) \[\text{6 }\!\!{}^\circ\!\!\text{ C}\]                        done clear

B) \[\text{0 }\!\!{}^\circ\!\!\text{ C}\] done clear

C) \[\text{2 }\!\!{}^\circ\!\!\text{ C}\]                        done clear

D) \[\text{3 }\!\!{}^\circ\!\!\text{ C}\]   done clear

A)  \[\text{12 }\!\!{}^\circ\!\!\text{ C}\]                      done clear

B)  \[\text{0 }\!\!{}^\circ\!\!\text{ }\] done clear

C)  \[\text{16 }\!\!{}^\circ\!\!\text{ C}\]        done clear

question_answer 19) What are the integers between -3 and 3?

A)  -4, -5, 4 and 5 done clear

B)  -2,-1, 0, 1 and 2   done clear

C)  3, 4, 5, 6 and 7 done clear

D)  -3, -2, -1, 2 and-15 done clear

question_answer 20) Between which two integers does -6 lie?

A)  -6 and 6                               done clear

B)  7 and 5 done clear

C)  -7 and-10            done clear

D) -7 and-5   done clear

question_answer 21) Identify the true statement.

A) \[\text{0-3}\]    done clear

B) \[\text{-5-2}\] done clear

C) \[\text{07}\]       done clear

D) \[\text{-6=6}\] done clear

question_answer 22) In 0, ______, _______, (-3), what are the numbers that fill the blanks?

A) -1 and -5             done clear

B) -5 and-12 done clear

C) -1 and -2               done clear

D) 1 and 2 done clear

question_answer 23) What is the positive of a negative integer?

A)  Negative   done clear

B)  Positive done clear

C)  Zero done clear

D)  Neither positive nor negative. done clear

question_answer 24) What is the number of positive integers between -5 and 0?

A) 0                               done clear

B) 10 done clear

C) 5                             done clear

D) 7 done clear

question_answer 25) Find the number of integers between 0 and 6.

A) 8                             done clear

B) 6 done clear

C) 15                          done clear

D) 5   done clear

A)  -Rs.150, -Rs.250 and -Rs.330 done clear

B)  -Rs.150, Rs. 50 and -Rs.330 done clear

C)  Rs.150, -Rs. 250 and -Rs.330   done clear

D)  Rs.150, -Rs.250 and Rs.330 done clear

A)  Rs.225, Rs.150, Rs.200 done clear

B)  Rs.150, Rs.200, Rs.225   done clear

C)  Rs.150, Rs.225, Rs.200 done clear

D)  Rs.225, Rs.150, Rs.330 done clear

A) Rs.5 loss                done clear

B) No profit done clear

C) Rs.86 profit        done clear

D) No loss done clear

question_answer 29) What is the ascending order of -23, 12, 0, -6, -100, -1?

A)  -1,0,12,-6,-23,-100 done clear

B)  0, -1, -6, 12, -23, -100                                done clear

C)  -100, -23, -6, -1, 0, 12   done clear

D)  -100, -23, 12, -6, -1, 0 done clear

question_answer 30) Which of the following statements is true?

A)  -8 is larger than 16. done clear

B)  16 is smaller than 8. done clear

C)  8 is larger than-16.   done clear

D)  +16 is smaller than-8. done clear

question_answer 31) Identify the false statement.

A) -317 < 603 done clear

B) -777 < -919 done clear

C) 637 > 246 done clear

D) 1027 > -688 done clear

question_answer 32) Identify the correct descending order of 0, 7, -3, -9, -132 and 36.

A)  36, 7, 0, -132, -9, -3 done clear

B)  -3, -9, -132, 0, 7, 36 done clear

C)  36, 7, 0, -3, -9, -132   done clear

D)  -132, -9, -3, 0, 7, 36 done clear

question_answer 33) Which of the following lists gives 5 negative integers greater than -9?

A) -6, -8, -2, -5, -4   done clear

B) -6, -7, -8, 1, 2 done clear

C) 1, 2, 3, 4, 5          done clear

D) 8, 7, 6, 5, 4 done clear

question_answer 34) Which is the largest of the integers -3, -10, -236, -15?

A) -15                         done clear

B) -3   done clear

C) -10                         done clear

D) -236 done clear

question_answer 35) Pick the smallest of the integers -8, -800, 8, 800 and -808.

A) -8                           done clear

B) -800 done clear

C) 800                        done clear

D) -808   done clear

question_answer 36) Which of the following lies between the integers -603 and -317?

A) -450                        done clear

B) -680 done clear

C) -315                      done clear

D) -630 done clear

question_answer 37) Which among the following is the immediate successor of -398 ?

A) -399                      done clear

B) -397   done clear

C) -389                      done clear

D) -379 done clear

question_answer 38) Find the difference between -12 and -28.

A) -16                         done clear

B) +16   done clear

C) +40                        done clear

D) -40 done clear

question_answer 39) Find the difference of the sum of 998 and - 486 and the sum of 290 and 732.

A) -510                        done clear

B) +510 done clear

C) -1022    done clear

D) +512 done clear

question_answer 40) What is the additive inverse of (-48) ?

A) -48                         done clear

B) 0 done clear

C) 1                             done clear

D) +48   done clear

question_answer 41) Given A = -728 and B = 0, what is the difference of B and A?

A) -1456    done clear

B) -728 done clear

C) 728                          done clear

D) 0 done clear

question_answer 42) What is the result when -271 - 6240 is evaluated?

A) 5999      done clear

B) 6511 done clear

C) -6511      done clear

D) -5999 done clear

question_answer 43) The temperature of city A is\[\text{-34  }\!\!{}^\circ\!\!\text{ C}\]. It falls by\[\text{18 }\!\!{}^\circ\!\!\text{ C}\]. What is the temperature after the fail?

A) \[\text{-34 }\!\!{}^\circ\!\!\text{ C + 18  }\!\!{}^\circ\!\!\text{ C}\] done clear

B) \[\text{-34  }\!\!{}^\circ\!\!\text{ C - 18  }\!\!{}^\circ\!\!\text{ C}\]   done clear

C) \[18{}^\circ \text{C}-34{}^\circ \text{C}\]             done clear

D) \[\text{34 }\!\!{}^\circ\!\!\text{ C-18 }\!\!{}^\circ\!\!\text{ C}\] done clear

question_answer 44) Which of the following is true?

A)  (-72) - 34 = 34 - 72 done clear

B)  34 - (72) = (-72) - 34 done clear

C)  34 + 72 = -72 + 34 done clear

D)  \[\text{34-(-72)}\ne \text{(-72)-34}\]   done clear

question_answer 45) One integer is greater than the other by +4. If one number is -16 then what is the other?

A)  +12                                        done clear

B)  0 done clear

C)  -1                           done clear

D) -12   done clear

question_answer 46) What is the simplified form of 1056 + (-798) + (-38) + 56?

A) 115                        done clear

B) 836 done clear

C) -276                      done clear

D) 276   done clear

question_answer 47) What is the sum of [37 - (-8)] and [11- (-30)]?

A) 25                          done clear

B) 70 done clear

C) 86                            done clear

D) -86 done clear

question_answer 48) What is the predecessor of -289 ?

A) -291                      done clear

B) -298 done clear

C) -288                      done clear

D) -290   done clear

question_answer 49) The temperature at the foot of a mountain is\[\text{+5  }\!\!{}^\circ\!\!\text{ C}\]. It fell down by \[\text{10  }\!\!{}^\circ\!\!\text{ C}\] on the top of the mountain. What is the temperature recorded on the top?

A) \[\text{+15 }\!\!{}^\circ\!\!\text{ C}\]   done clear

C) \[\text{+5  }\!\!{}^\circ\!\!\text{ C}\]    done clear

D) \[\text{-5  }\!\!{}^\circ\!\!\text{ C}\]   done clear

question_answer 50) The loss of a shopkeeper on selling rice is Rs. 48 and the loss on selling sugar is Rs. 57. How is the total loss represented in integer form?

A) Rs.105  done clear

B) Rs.9 done clear

C) -Rs.9                     done clear

D) -Rs.105   done clear

question_answer 51) What is the sum of the largest and the smallest integers of the following integers? 32, -7, 61, 43, -123

A) -61                         done clear

B) -123 done clear

C) 62                          done clear

D) -62   done clear

question_answer 52) Which integer must be subtracted from -96 to get 60 ?

A) 36                          done clear

B) -36 done clear

C) -156                        done clear

D) 156 done clear

question_answer 53) The evening temperature of Shimla fell down to \[\text{-6  }\!\!{}^\circ\!\!\text{ C}\]in the mid-night and to \[\text{-1  }\!\!{}^\circ\!\!\text{ C}\]at 6 a.m. By how many degrees did the temperature rise?

A) \[\text{-4  }\!\!{}^\circ\!\!\text{ C}\]     done clear

B) \[\text{4  }\!\!{}^\circ\!\!\text{ C}\] done clear

C) \[\text{-5  }\!\!{}^\circ\!\!\text{ C}\]     done clear

D) \[\text{5  }\!\!{}^\circ\!\!\text{ C}\]   done clear

question_answer 54) The numbers 63, 0, 81, -1, -72, 111 and -125 are arranged in descending order. What is the number in the 5th place of the arrangement?

A) 0                             done clear

B) -1   done clear

C) 81                          done clear

D) 63 done clear

question_answer 55) What is the sum of the numbers in 3rd and 5th places when -4, -15, 7, 0, -2 and -30 are arranged in increasing order?

A) -15                                         done clear

B) 4 done clear

D) -4   done clear

question_answer 56) Which of the following options lists integers greater than -2 and less than 10?

A)  9, 7, 5, 3, 1, 0, -1, -2 done clear

B)  -1, -2, 0, 1, 2 done clear

C)  -3, -4,...... and 11, 12, 13 done clear

D)  -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9   done clear

A) A                            done clear

B) C   done clear

C) O                            done clear

D) B done clear

A) At point O          done clear

B) At point D done clear

C) At point C           done clear

D) At point B   done clear

A) 1m                         done clear

B) 8 m done clear

C) 7 m                        done clear

D) 15 m   done clear

A)  11 m                     done clear

B)  8 m done clear

C)  18 m       done clear

D) 3 m done clear

question_answer 61) Simplify: \[\text{9- }\!\![\!\!\text{ 8+ }\!\!\{\!\!\text{ 7-(6-}\overline{\text{5-4}}\text{ }\!\!\}\!\!\text{  }\!\!]\!\!\text{ -1}\]

A) 2 done clear

B) -2   done clear

D) -1 done clear

A) 4                             done clear

B) 3 done clear

C) 5                               done clear

D) 6 done clear

A) 10                          done clear

B) -26 done clear

C) -10                                         done clear

D) 26   done clear

A) 10          done clear

B) -10   done clear

C) -28                         done clear

D) 28 done clear

A) 26                            done clear

C) 28                          done clear

D) -28 done clear

A)  -28                           done clear

B)         28 done clear

C)  26                          done clear

D)         -26 done clear

question_answer 67) Ajay lives 3 km north of his school and Ajit lives 5 km south of school. How are distances of their houses from their school denoted?

A) 3 km, 5 km         done clear

B) 3 km, -5 km   done clear

C) -3 km, 5 km        done clear

D) -3 km, -5km done clear

A) Darjeeling          done clear

B) Ooty done clear

C) Kashmir               done clear

D) Hyderabad   done clear

A) Ooty     done clear

B) Darjeeling   done clear

C) Shimla  done clear

D) Kashmir done clear

A) \[\text{21 }\!\!{}^\circ\!\!\text{ C}\]        done clear

B) \[\text{13 }\!\!{}^\circ\!\!\text{ C}\] done clear

C) \[\text{-13 }\!\!{}^\circ\!\!\text{ C}\]    done clear

D) \[\text{-21  }\!\!{}^\circ\!\!\text{ C}\] done clear

A)  Ooty, Hyderabad, Darjeeling, Kashmir done clear

B)  Ooty, Hyderabad, Kashmir, Darjeeling done clear

C)  Darjeeling, Kashmir, Ooty, Hyderabad   done clear

D)  Ooty, Hyderabad, Kashmir, Shimla done clear

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Chapter 6 Class 6 Integers

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Get answers to all exercise questions and examples of Chapter 6 Class 6 Integers . All questions from the NCERT Book are solved in a step-by-step manner for your understanding.

In this chapter, we will

• Learn what Negative numbers are
• Define integers
• Mark integers on the number line
• Find integers between two integers
• Then, we learn how to compare integers (using a number line, and without using a number line)
• We learn how to add and subtract integers
• Then, we learn how to add and subtract integers on the number line

Click on an exercise link below to get started.

You can also check the concepts given under the Concept Wise heading. All concepts are explained, and questions are ordered from easy to difficult. If you want to learn a topic for the first time, or revise a topic, then click on any topic and begin. 

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NCERT Solutions for Class 6 Maths Chapter 6 Integers

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Class 6 Maths Chapter 6 Practice Test 6th Maths Chapter 6 Test 1 6th Maths Chapter 6 Test 2 6th Maths Chapter 6 Test 3 6th Maths Chapter 6 Test 4 6th Maths Chapter 6 Test 5 6th Maths Chapter 6 Test 6

Class VI Mathematics NCERT Exercise 6.1, Exercise 6.2 and Exercise 6.3 in English Medium as well as Hindi Medium updated for new academic session based on new NCERT Books . Solutions of Prashnavali 6.1, Prashnavali 6.2 and Prashnavali 6.3 in Hindi Medium are given in separate section. View in Video Format or download in PDF format to use it offline. Take the latest textbook from NCERT (https://ncert.nic.in/) website and get Solutions for session 2024-25 for all subjects of class 6 is given as PDF as well as online study format. Download links for Books are also given to use it any time anywhere. CBSE Offline Apps are also given to use it Offline without internet.

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NCERT Solutions for Class 6 Maths Chapter 6 in updated form for the new academic session following the latest NCERT Books 2024-25. All the contents are simplified and the quality is maintained as the student’s requirement.

In 6 Maths Chapter 6 Integers, we will study about various properties of Integers to solve the questions. As we have studied in previous classes, about the natural numbers , whole numbers, etc. The first numbers to be discovered were natural numbers i.e. 1, 2, 3, 4,… If we include zero to the collection of natural numbers, we get a new collection of numbers known as whole numbers i.e. 0, 1, 2, 3, 4,… Now we find that there are negative numbers too. If we put the whole numbers and the negative numbers together, the new collection of numbers will look like 0, 1, 2, 3, 4, 5,…, –1, – 2, – 3, –4, –5, … and this collection of numbers is known as Integers. In this collection, 1, 2, 3, … are said to be positive integers The numbers having negative sign – 1, – 2, – 3,…. are said to be negative integers.

Important Questions on Class 6 Maths Chapter 6

Write opposite of the following: (a) increase in weight (b) 30 km north.

(a) Decrease in weight (b) 30 km south

Represent the following numbers as integers with appropriate signs. An aeroplane is flying at a height two thousand meters above the ground.

(+) 2000 meters

Which number is to the right of the other on the number line? 2, 9

9 is right to 2

Write all the integers between 0 and –7.

–6, –5, –4, –3, –2, –1

Write four negative integers greater than –20.

–19, –18, –17, –16

Write four negative integers less than –10.

–11, –12, –13, –14

Draw a line and mark some points at equal distance on it. Mark a point as zero on it. Points to the right of zero are positive integers and are marked + 1, + 2, + 3, etc. or simply 1, 2, 3 etc. Points to the left of zero are negative integers and are marked – 1, – 2, – 3 etc. In order to mark – 5 on this line, we move 5 points to the left of zero. In order to mark + 5 on this line, we move 5 points to the right of zero.

How many exercises, questions, and examples are there in chapter 6 (Integers) of class 6 Maths?

According to new syllabus for CBSE 2024-25, there are still 3 exercises in chapter 6 (Integers) of class 6 Maths. In the first exercise (Ex 6.1), there are ten questions. In the second exercise (Ex 6.2), there are five questions. In the third exercise (Ex 6.3), there are four questions. So, there are in all 19 questions in chapter 6 (Integers) of class 6th Maths. There are in all 9 examples in chapter 6 (Integers) of class 6th Maths.

What are the main points of chapter 6 of class 6th Maths?

The main points of chapter 6 of class 6th Maths are: 1. Integers. 2. Representation of integers on a number line. 3. Ordering of integers. 4. Addition of Integers. 5. Addition of integers on a number line. 6. Additive inverse. 7. Subtraction of Integers with the help of a Number Line.

Is chapter 6 of class 6th Maths easy or difficult to understand?

Chapter 6 of class 6th Maths is not easy and not difficult. It lies in the mid of simple and difficult because some examples and questions of this chapter are simple, and some are difficult. However, the difficulty level of any chapter varies from student to student. So, Chapter 6 of class 6th Maths is easy or not depends on students also. Some students find it hard, some find it easy, and some find it in the middle of easy and hard.

Is NCERT chapter 6 of class 6th Maths important for exams?

No, students can’t skip chapter 6 (Integers) of class 6th Maths. The collection of numbers…, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4,… is called integers. So, – 1, – 2, – 3, – 4,… are called negative integers, and 1, 2, 3, 4,… are called the positive integers. Chapter 6 of class 6th Maths is very useful because this chapter is helpful in higher Maths classes also.

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Integers Class 6 Notes CBSE Maths Chapter 6 (Free PDF Download)

• Revision Notes
• Chapter 6 Integers

Revision Notes for CBSE Class 6 Maths Chapter 6 Integers - Free PDF Download

Free downloadable PDF of CBSE Class 6 Chapter 6 Integers is available 24/7 on our website.

The Maths experts at Vedantu prepared the CBSE Class 6 Maths Revision Notes Chapter 6 Integers to assist students in preparing for their final examination. Each concept is explained clearly in the answers provided by Vedantu, leaving no question unattended. Students can go through these Vedantu Class 6 Maths Revision Notes Chapter 6  Integers to excel with the highest scores in the CBSE Class 6 examination.

You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination . Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for the better solutions ,they can download Class 6 Maths NCERT Solutions to help you to revise complete syllabus and score more marks in your examinations. 

Download CBSE Class 6 Chapter 6 Integers Revision Notes PDF.

Revision Notes for CBSE Class 6 Maths Chapter 6 - Free PDF Download

The collection of all the whole numbers and their negatives are called the integers excluding the decimals or fractions. 

The positive whole numbers are called the positive integers and the negative whole numbers are called the negative integers.

Even in our daily life we come across many examples where we use negative numbers such as for measuring temperature, for denoting the water level or elevation of a place with respect to main sea level, for showing outstanding amounts etc.

Some examples of integers are; \[....-4,-3,-2,-1,0,1,2,3,4....\].

Successors and Predecessors:

A successor for both positive and negative integers can be found out by adding $1$ to it. And similarly, the predecessor can be found out by subtraction $1$ from the given integer.

Addition of Integers:

If the integers have the same sign, we simply add them and put the given sign in front.

When we add positive integers, we will get a positive integer. For example, $(+5)+(+8)=+13$.

When we add negative integers, we will get a negative integer. For example, $(-5)+(-8)=-13$.

When integers with different signs are added, we subtract them like positive whole numbers without considering their signs and then put the sign of the bigger one in the front which in turn is decided after removing the negative sign from the negative integer given. The two cases have been shown below.

Example: $(-7)+(+4)=-3$

Example: $(+7)+(-4)=+3$

Multiplication of Integers:

The final sign after multiplication of integers is decided based on conventions tabulated below with examples;

Both addition and multiplication of integers can be shown on the number line by moving towards left from the point of reference for negative integers and towards right for positive integers.

Importance of Class 6 Maths Chapter 6 Revision Notes

Revision Notes are notes that help you revise, to do better in your exams. 

Revision notes on Integers Class 6 prove very important for the students who are working very hard for the whole year. Revision notes are always considered the best as it helps in revising the whole chapter thoroughly and also makes the learning simple and appropriate. 

Notes on Integers Class 6 provided by Vedantu help students revise each and every important concept related to Integers in detail.

The subject experts at Vedantu have designed Notes on Integers Class 6 as per the latest CBSE syllabus and followed by the NCERT guidelines. 

While preparing for upcoming examinations it is very important to have quality study material for revision. 

To ace in your preparation level, we at Vedantu offer you the most refined and effective CBSE Chapter 6 Integers revision notes. CBSE revision notes on class 6 Integers will provide you a summary of all the important and relevant topics as well as highlight the significant references from the chapter 6 Integers.

CBSE Class 6 Chapter 6 Integers Revision Notes

1. Introduction 

Integers are the set of all whole numbers that include negative numbers also. As we know that integers can be both positive 1, 2, 3, 4, 5 and negative, i.e, - 5, - 4, - 3, - 2, - 1, they include 0 as well. 

The set of integers are defined as: Z = {- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4}

All integers present to the left of the origin, i.e., zero are negative integers prefixed with a minus (-) sign and all numbers to the right are positive ones prefixed with positive (+) sign.

All integer numbers are basically of three types:

Positive Numbers and

Negative Numbers

2. Properties of Integers

Integers have 5 main properties they are:

Closure Property

Associative Property

Commutative Property

Distributive Property

Identity Property

3. Rules for Addition and Subtraction Operations of Integers

Salient Features of Vedantu CBSE Class 6 Maths Chapter 6 Integers Notes

The revision notes contain all the important ideas and concepts of Integers which would have been taught in class 6 and NCERT books.

The revision notes are very easy to understand.

Saving your time

Proper and organized preparation for the exam

Revision notes are collected and extracted from NCERT books and is based as per the CBSE exam standard

You can also find reference illustrations and related diagrams

Vedantu helps you to write the exam with full confidence

Easily do revision over any portion no matter the time or place you are in

Vedantu’s sole motive is to guide students throughout their academic journey.

Why Refer to Vedantu for CBSE Class 6 Maths Notes PDF?

Clear knowledge of basic concepts is a must to note important factors in Mathematics. The focus shouldn’t be on rote learning, instead it should be based on concepts. Therefore, to help you in your CBSE Class 6 Maths, we at Vedantu provide revision notes to answer the questions to CBSE textbooks.  

These answers are written as per the CBSE exam guidelines and are meant to raise the understanding of the subject-matter. Being the important subject, in case you’re seeking for accurate and reliable Class 6 Maths Chapter 6 Integers Revision Notes, you can easily avail that from Vedantu. 

Conclusion 

Vedantu's free PDF notes on CBSE Class 6 Maths Chapter 6, "Integers," are a valuable educational resource for young learners. These notes offer a comprehensive understanding of the world of integers, ensuring that students have access to high-quality study materials that align with the CBSE curriculum. Vedantu's commitment to providing accessible educational content empowers students to delve into the realm of mathematics confidently. These notes facilitate a deeper comprehension of integers, fostering essential mathematical skills and problem-solving abilities. By utilizing these resources, students can enhance their mathematical knowledge, critical thinking skills, and overall academic performance, making them an indispensable asset for math enthusiasts and educators alike.

FAQs on Integers Class 6 Notes CBSE Maths Chapter 6 (Free PDF Download)

1. How Can Class 6 Vedantu’s Revision Notes Help You to Have a Better Preparation Level?

You can use revision notes for a quick revision for exams. Studying from revision notes will help you skip reading those boring chapters again and again. Vedantu Class 6 Chapter 6 Integers Revision Notes play a very important role in self study. You don’t need any coaching or tuition you can just follow the Vedantu study materials which are designed by following the latest syllabus issued by Central Board of Secondary Education.

Also, studying from these revision notes will help you in having a better preparation level for your next exam. You can simply refer the revision notes and directly jump to the examination hall.

2. Are Students Allowed to Choose their Tutors as Per their Own Interest?

Vedantu’s classes can enable your children to understand the full concepts from best tutors. These teachers are assigned for helding online classes and they will let you know each and every tidbits concepts and clear your doubts easily. 

In case the student is unsatisfied with the teacher’s learning methods or any other issue, they can change their tutor by providing a valid reason for the cause. 

3. List a Few Ways How Vedantu Can Help Monitor the Student’s Progress?

Certain ways to monitor the student’s progress are:

Connect with the student’s parent

Get involved 

Inspect results of graded quizzes and tests

Foresee how students perform the homeworks

Check on student’s performance rating over a regular basis

Know the results of standardized tests

4. What is the purpose of revision notes for Integers for Class 6 Maths?

“Integers” is a chapter that contains a lot of examples and exercise questions. Students need to practice these questions well. There are certain concepts in the chapter that students may find new. The purpose of revision notes is to assemble all the important concepts and explanations in one place. Students can refer to these notes to go through a concept real quick. Use the  Revision notes Class 6 Maths Chapter 6 Notes available on Vedantu to study more about integers. Also, you can download the Vedantu app to access these solutions. All the study material is available free of cost.

5. What are integers?

Integers are numbers containing all the positive and negative numbers along with 0. So any whole valued (not consisting of any fractional or decimal part) positive or negative number and 0 is termed as an integer. In other words, whole numbers along with negative numbers form integers.

Examples of integers can be -9, -2, 0, 1, 99, etc.

For a detailed explanation on the topic "Integers," refer to Vedantu's Revision Notes for Class 6 Mathematics Chapter 6 "Integers."

6. Is Chapter 6 Integers of Class 6 Maths an easy chapter?

Integers is a fairly straightforward and interesting chapter. It deals with some new concepts of negative numbers along with their addition and subtraction. However, the chapter is not difficult at all. In fact, it is an important chapter from the perspective of examinations. Like any other Mathematics chapter, this chapter demands understanding from the student and lots of practice. Students need to practice the NCERT questions and examples well and they would not have a hard time with this chapter.

7. How do you teach Integers to Class 6?

Class 6 students need to be taught in a fun-filled, engaging yet informative way. Young students need to be fascinated with Integers to concentrate on it. Here are a few tips to make teaching this chapter easy:

Explain the concepts of Chapter 6 well. Use various online tools like conceptual videos, graphics, and animations.

Hands-on activities like integers puzzles, making charts, flashcards, and coloring activities are also helpful.

You can also refer to Vedantu's revision notes for quick revision of the concepts of Chapter 6.

8. What are the concepts in Chapter 6 “Integers” of Class 6 Maths?

"Integers" is an important chapter that introduces Class 6 students to a new concept of negative and positive numbers and their addition and subtraction. The chapter puts forth several new rules related to the addition and subtraction of positive and negative integers.

These concepts are not difficult. Students need to have a clear understanding of these basic principles and they will be able to master this chapter easily. Students can refer to Vedantu's Revision Notes for "Integers" for quick revision and recall of these rules.

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Case Study Questions for Class 6 Maths

• Last modified on: 12 months ago
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Table of Contents

Here in this article, we are providing case study questions for class 6 maths.

Maths Class 6 Chapter List

Latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

Old Chapter List

Chapter 1 Knowing Our Numbers Chapter 2 Whole Numbers Chapter 3 Playing with Numbers Chapter 4 Basic Geometrical Ideas Chapter 5 Understanding Elementary Shape Chapter 6 Integers Chapter 7 Fractions Chapter 8 Decimals Chapter 9 Data Handling Chapter 10 Mensuration Chapter 11 Algebra Chapter 12 Ratio and Proportion Chapter 13 Symmetry Chapter 14 Practical Geometry

Deleted Chapter:

Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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CBSE Class 6 Maths Revision Notes Chapter 6

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CBSE Class 6 Mathematics Chapter 6 Revision Notes – Integers

What is an integer? Are they used in calculations? Where are they placed in a number line? Are arithmetic operations possible without them?

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Class 6 Mathematics Chapter 6 Notes clear all the doubts from students’ minds so that they can answer all the questions in the board exams with confidence.

Class 6 Mathematics Chapter 6 Notes are prepared by subject matter experts at Extramarks to help the students gain conceptual clarity about the topics. Students do not have to make extra effort to make exhaustive notes to revise before the exams. With these notes, students will be able to grasp all the important topics quickly and can practice questions for self-evaluation.

Revision Notes For CBSE Class 6 Mathematics Chapter 6

• The collection of natural numbers, negative numbers, and zero is regarded as integers.
• Fractions and decimals are not included in the category of integers.
• The positive numbers are called positive integers, and the negative numbers are called negative integers.
• Negative integers are placed on the left side of zero on the number line, and positive integers are placed on the right side of zero.
• Integers are important in daily life to measure the temperature, denote the water level, measure the height of a place from the surface of the ocean, or perform simple calculations.
• Some examples of integers are -3, -6, 8, 2, -5, 0, etc.
• Integers can be placed on a number line.
• As the number line goes in the rightward direction the integers become greater.
• The numbers decrease as we move in the leftward direction.
• Therefore, -1 is greater than -5, which is greater than -10. Again, +10 is greater than +5, which is greater than +1.
• Addition of Integers
• When two positive integers are added, the sum is always a positive integer. For example, (+5) + (+7) = +12.
• When two negative integers are added, the result is always a negative number. If -5 is added with -6, the result is -11.
• When a positive and a negative number are added, the result takes the sign of the greater number. For example, (-7) + (2) = (-5).
• Subtraction of Integers
• When the greater number is positive and the smaller number is negative, the result takes the positive sign. For example, 75 – 45 = 30.
• 45 – (-23) = 45 + 23 = 68.
• -73 – (+30) = -73 – 30 = -110. 
• Properties of Addition and Subtraction of Integers
• Closure Property: The sum or subtraction of two given integers is always an integer. For example, 5 + 3 = 8; 5 – 3 = 2; both 8 and 2 are integers.
• Commutative Property: The sum of two positive integers does not depend on the order of placement of the integers. For instance, 5 + 9 = 9 + 5 = 14.
• Associativity of Addition: The sum of more than two positive integers does not depend on the grouping of the integers. For example: (5 + 3) + 6 = 5 + (3 +6) = (5 + 6) +3 = 14.
• Additive Identity: If an integer is added to zero, the result remains unchanged. If 5 is added to zero the sum is 5 which is the value of the given number.
• Multiplication of Integers
• When a positive integer is multiplied by another positive integer the product is always a positive integer. 13 X 2 = 26, where both the given numbers are positive integers, hence, the product is a positive integer.
• When a positive integer and a negative integer are multiplied, then the result is a negative integer. For example, -90 X 3 = -270.
• This point is noteworthy and important from the point of view of the exam. When two negative integers are multiplied then the product is always a positive integer. For example, -270 x -3 = 810.
• Properties of Multiplication of Integers
• Multiplication by Zero: If an integer is multiplied by zero the product is zero. 84 X 0 = 0.
• Multiplication by 1: If an integer is multiplied by 1, the product is the given number itself. Any number multiplied by 1 will produce the same number This is known as the identity property of multiplication. For instance, the result of multiplying 5 by 1 will be 5.
• 92 x 1 = 92.
• Division of Integers
• When one integer is divided by another integer and any one of them is a negative number, then the quotient must be a negative number. For example, -18/3 = -6, or 45/(-5) = -9.
• When the dividend and the divisors are both positive numbers or both negative numbers, the quotient is always a positive number. For example: -77/-11 =7; 36/6 = 6. In both cases, the quotients are positive integers.
• Properties of Division of Integers
• If an integer is divided by another integer, the quotient may not be an integer. For example: 22/7 = 3.14. Both 22 and 7 are integers but the quotient is a decimal.
• If an integer is divided by zero the result becomes undefined. 34/0 = undefined.
• If an integer is divided by 1, the given number itself becomes the quotient. For instance, 14/1 = 14.

Successors and Predecessors

• The number placed at the immediate right position of a number is a successor number.
• The number placed at the immediate left position of another number is the predecessor to that number.
• So, a successor number is the sum of one and the given number.
• If one is subtracted from a given number, the result is the predecessor number.
• For example, the predecessor number of ten is nine; 10 – 1 = 9.
• The successor number to ten is eleven; 10 + 1 = 11.

Revision Notes For CBSE Class 6 Mathematics Chapter 6 

Class 6 Mathematics Chapter 6 Notes free PDF are available on the website of Extramarks. Students can download the file for further study. They can revise the notes at their convenient time and study offline as well. 

CBSE Class 6 Chapter 6 Integers Revision Notes

The revision notes on Integers focus on what the integers are, where they lie on the number line, and what kind of arithmetic operations are possible with them. The subject experts have included all the major points and explained them with suitable examples so that students can understand the concepts easily.

Salient Features of Extramarks CBSE Class 6 Mathematics Chapter 6

There are many notes available in the market. What makes the notes provided by Extramarks unique or different?

• Class 6 Mathematics Chapter 6 Notes are prepared by mathematics experts at Extramarks.
• Special care has been taken by experts to cover all the concepts given in the NCERT book.
• The notes are well-structured and the topics are arranged in a logical manner, so the students can understand the development of ideas.
• Simple and lucid language.
• The notes are written point-wise so that the students can quickly have a look at the major points.
• These notes are extremely helpful before the final exam to grasp all the topics in detail.

Why Refer to Extramarks for CBSE Class 6 Mathematics Notes PDF?

Extramarks is an online platform that helps students understand complicated concepts in a simple way. The online platform was built with the vision of helping the students perform better in the board exams. To turn their dream into a reality, Extramarks has appointed subject experts to make crisp and concise notes for the students as per CBSE guidelines so that they can revise all the chapters in less time before the exams. These notes will definitely clear all the doubts related to the concepts and help the students fetch extra marks in the exams.

The chapter on Integers is important for understanding basic operations using both positive and negative numbers. Without the knowledge of integers, it is impossible to keep track of calculations in daily life. Also, from the point of view of exams, this chapter is important. So, Extramarks brings you comprehensive notes that will help you not only gain in-depth knowledge about the integers but also attempt different types of questions in the exams with ease. With the notes from Extramarks, give your preparation an extra edge.

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FAQs (Frequently Asked Questions)

1. what are integers.

Integers are collections of numbers that include all the natural numbers, negative numbers, as well as zero.

2. .Write the integers that lie between 0 and -11. Write them in increasing order.

When we move leftward on the number line, the numbers become greater. Therefore, -11 is the smallest number between 0 and -11. The other numbers are -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, and 0.

3. What are the properties of zero?

Zero is neither a positive number nor a negative number nor a natural number. It is a whole number and an integer.

4. Can integers be fractions?

Integers comprise whole numbers and their negative counterparts. So, integers can never be fractions.

5. Are negative numbers integers?

Integers include positive numbers as well as negative numbers.

6. Is the product of a positive integer and a negative integer greater than the integers given?

The product of a positive integer and a negative integer can never be greater than the individual numbers. Suppose, (-5) and (6) are the given numbers. Their product (-30) is far less than the two given numbers.

7. What is the sum of 5 and -5?

The sum of 5 and -5 is zero.

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Integers MCQ Class 6 (Online Available)

Free mcq test, table of content, integers test - 21.

Duration: 10 Mins

Maximum Marks: 10

Read the following instructions carefully.

1. The test contains 10 total questions.

2. Each question has 4 options out of which only one is correct .

3. You have to finish the test in 10 minutes.

4. You will be awarded 1 mark for each correct answer.

5. You can view your Score & Rank after submitting the test.

6. Check detailed Solution with explanation after submitting the test.

7. Rank is calculated on the basis of Marks Scored & Time

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The Integers MCQ are those types of questions which can create impact on the preparation level. As the multiple choice questions are designed in such a way that tests a student's memorisation skills, accordingly students can score well in the chapter Integers and can improvise their preparation level. 

Integers Online MCQ for Class 6

The Integers Online MCQ for class 6 is designed by our subject matter experts with proper research. 

Through the Online MCQ, students attempt the questions of the chapter from their comfort zone and can get mind blowing marks in Integers. To attempt objective questions, students need to first complete the chapter. 

How to Attempt the Integers MCQ?

To attempt the Integers MCQ, students need to follow the given steps, those steps are: 

• Visit the Selfstudys website. 
• Click the navigation button. Now click the CBSE, a drop down menu will appear. 

• Now select the MCQ Test from the list. A new page will appear, now select class 6th from the list of classes. 

• Now select Maths from the list of subjects. 
• Again a drop down menu will appear, then select the chapter Integers. 

Features of Integers MCQ 

The Integers MCQ provides an instant feedback to students, this is one of the important features, other features are: 

• Question Analysis is Given: Question analysis of Integers MCQ for class 6 is generally considered to be a summary of correct, wrong and skipped questions which is provided after submitting the online Maths Class 6 MCQ Test. 
• Basic Information About the Performance is Given: In the MCQ of Integers, a basic information about the performance of a student is included as it provides score and rank. According to the score and rank, students can improvise from the next multiple choice questions of the Integers. 
• Time Taken is also Mentioned: After attempting the MCQs of Integers, time taken is mentioned so accordingly students can try to decrease their speed from the next test. 
• Responses are Given: If in case, students got wrong answers in the MCQs for Integers, students can look through the given responses and improve accordingly. 
• Can Attempt Again: Students can attempt the objective questions of Integers as there is an option of attempting the same set of questions once again. 
• Number of Tests are Available: In the website there are a number of objective tests available to practise so that students can get an idea about all levels of questions of the chapter Integers. 

Benefits of the Integers MCQ 

There are benefits of the Integers MCQ, one of the key benefit is that it is very easy to mark and can be scored easily, other benefits are: 

• Clear and Concise: The Integers MCQ for class 6 are very clear and concise so that options and questions are easily understandable. 
• Can Examine Strengths and Weakness: With the help of multiple choice questions of Integers, students can examine their strengths and weaknesses, accordingly they can improve. 
• Can Learn Time Management Skills: It is very important for students to manage their time during the final exam, they can easily manage their time by solving objective questions of the chapter Integers. 
• Provides Feedback: The MCQs of Integers provides instant feedback so that students can make rapid changes in the preparation. 
• Improves Knowledge: Practising objective questions of Integers can help students to improve their grip knowledge towards the chapter. 
• Can Assess the Level of Progress: It is very important for students to regularly look into progress while preparing, they can estimate their progress by solving Integers MCQ. 

A Step-by-Step Guide to Solve Integers MCQ

Students are advised to follow some steps to solve Integers MCQ in a genuine way so that they can score well in it, those tips are: 

• Go Through the Question Carefully: Students are advised to go through the objective questions of Integers like word to word, then only they can get an idea about the question. 
• Go Through the Options: Students need to go through the options so that they can analyse the options and can mark the accurate option in the chapter Integers. 
• Identify the Correct Option: Students need to build a strong foundation for the chapter Integers so that they identify the accurate options. 
• Check All Answers: It is important for students to double check the given answer before submitting the Integers MCQ for Class 6. 
• Review the Explanations: Students need to review the explanations of class 6 Integers so that they can get an idea about the wrong answers. 
• Manage Time Efficiently: While solving the MCQ of Integers, students need to manage their time efficiently, accordingly they can implement it into the final exam. 

What Are the Challenges Faced While Solving Integers MCQ?

Here are some common challenges that can be faced while solving Integers MCQs: 

• Complex Topics: It is one of the main challenges faced by students that is covering the complex topics of the chapter Integers to solve the MCQs.  
• Difficult Questions: Some questions of the Integers MCQ for class 6 may be difficult and it can create a challenge to determine an accurate answer. 
• Similar Options: Some options of the MCQs of Integers can seem to be similar and it may be difficult for students to determine the right answer. 
• Lack of Practice: It is important for students to have a proper practice of multiple choice questions of Integers otherwise they may face challenges in determining right answers. 
• Exam Stress: Exam stress is the most important challenge that may be faced by many students while attempting Integers Objective questions. 
• Misconceptions: Students may face misconceptions or gaps in understanding the concepts of Integers, this may lead to selecting the wrong answers. 

When Is the Best Time to Solve Integers MCQ?

The best time to solve Integers MCQ, may vary from student to student according to their learning goals, some guidelines are discussed below: 

• After Completing the Chapter: Mostly students prefer to solve the Integers MCQ for class 6 after understanding each topic and concept in a proper way.  
• During Revision: Revising is the best step during preparation, so to make the revision process outstanding, students can take the help of MCQs of Integers. 
• One Day Before the Exams: The last 24 hours before the exam is considered to be important as students need to recall the key topics and concepts so it is better to solve multiple choice questions of Integers.  
• During Self Assessment: Students can solve the MCQs of Integers to monitor their progress as it is very important while preparing. 
• To Understand the Concepts: If in case, students face any kind of difficulty in understanding the concepts of Integers, they can start solving the MCQs and can understand the concepts in a better way as the detailed solutions are provided after submitting the online test. 

How to Mark the Right Answers in the Integers MCQ?

Marking the right answers in Integers MCQ is important step to score good marks, steps to mark the right answer are: 

• Read the Given Question Carefully: Students are advised to take their own time while reading the question and can also underline the key information of Integers MCQ. 
• Examine the Options: Students need to examine each and every option of Integers MCQ for class 6 so that they end up selecting the accurate option. 
• Tick the Appropriate Answer: Students may feel confused while marking the appropriate answer but they need to be very attentive while selecting a response, this can be easily overcome by completing the Integers in a proper way. 
• Review Performance: Before submitting the multiple choice questions of Integers, students need to review their performance that is to double check the given answers and correct if required.
• Seek Feedback: Students can seek feedback from their teachers after attempting the MCQs of Integers, and accordingly they can improve their performance in the next test. Although, Selfstudys online MCQ Test of Class 6 Integers also provides feedback, but consulting with teachers can help in getting better insights of performance.

How to Analyse the Wrong Answers While Attempting Integers MCQ?

It is important for students to analyse the wrong answers after attempting the Integers MCQ, accordingly they can identify areas of weakness; steps to analyse are: 

• Identify the Incorrect Options: Students need to identify the incorrect answer of Integers MCQ for class 6 and need to compare it with correct answers. 
• Note the Incorrect Answers: Students are advised to mark the incorrect answers from the MCQs of Integers in a separate notebook.  
• Correction of Mistakes: After noting down the mistakes, students need to rectify the mistakes done while attempting MCQ of Integers, so that they can improve their accuracy.
• Identify the Patterns: Students are advised to identify the patterns of wrong answers like in which topic or concept of Integers they went wrong, accordingly they can focus on that particular concept.

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• CBSE Notes For Class 6
• CBSE Notes Class 6 Maths
• Chapter 6: Integers

Integers Class 6 Notes Chapter 6

Introduction, whole numbers.

• Whole numbers include zero and all natural numbers, i.e., 0, 1, 2, 3, 4, and so on.

For more information on Number Systems, watch the below video

To know more about Whole Numbers, visit here .

Negative Numbers

• The numbers with a negative sign and which lies to the left of zero on the number line are called negative numbers.

To know more about Application of Negative Numbers in Daily Life, visit here .

Introduction to Zero

The number zero.

• The number zero means an absence of value.

The Number Line

• Collection of all positive and negative numbers including zero are called integers. ⇒ Numbers …, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, … are integers.

Representing Integers on the Number Line

• Draw a line and mark a point as 0 on it
• Points marked to the left (-1, -2, -3, -4, -5, -6) are called negative integers.
• Points marked to the right (1, 2, 3, 4, 5, 6) or (+1, +2, +3, +4, +5, +6) are called positive integers.

Absolute Value of an Integer

• Absolute value of an integer is the numerical value of the integer without considering its sign .
• Example: Absolute value of -7 is 7 and of +7 is 7.

Ordering Integers

• On a number line, the number increases as we move towards right and decreases as we move towards left.
• Hence, the order of integers is written as…, –5, –4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5…
• Therefore, – 3 < – 2, – 2 < – 1, – 1 < 0, 0 < 1, 1 < 2 and 2 < 3.

Addition of Integers

 Positive integer + Negative integer

• Example: (+5) + (-2) Subtract: 5 – 2 = 3 Sign of bigger integer (5): + Answer: +3
• Example: (-5) + (2) Subtract: 5-2 = 3 Sign of the bigger integer (-5): – Answer: -3

Positive integer + Positive integer

• Example: (+5) + (+2) = +7
• Add the 2 integers and add the positive sign.

Negative integer + Negative integer

• Example: (-5) + (-2) = -7
• Add the two integers and add the negative sign.

Properties of Addition and Subtraction of Integers

Operations on integers.

Operations that can be performed on integers:

• Subtraction
• Multiplication

Subtraction of Integers

• The subtraction of an integer from another integer is same as the addition of the integer and its additive inverse.
• Example: 56 – (–73) = 56 + 73 = 129 and 14 – (8) = 14 – 8 = 6

Closure under Addition

• a + b and a – b are integers, where a and b are any integers.

Commutativity Property

• a + b = b + a for all integers a and b.

Associativity of Addition

• (a + b) + c = a + (b + c) for all integers a, b and c.

Additive Identity

• Additive Identity is 0, because adding 0 to a number leaves it unchanged.
• a + 0 = 0 + a = a for every integer a.

Multiplication of Integers

• Product of a negative integer and a positive integer is always a negative integer. 10×−2=−20
• Product of two negative integers is a positive integer. −10×−2=20
• Product of even number of negative integers is positive. (−2)×(−5)=10
• Product of an odd number of negative integers is negative. (−2)×(−5)×(6)=−60

Properties of Multiplication of Integers

Closure under Multiplication

• Integer * Integer = Integer

Commutativity of Multiplication

• For any two integers a and b, a × b = b × a.

Associativity of Multiplication

• For any three integers a, b and c, (a × b) × c = a × (b × c).

Distributive Property of Integers

• Under addition and multiplication, integers show the distributive property.
• For any integers a, b and c, a × (b + c) = a × b + a × c.

Multiplication by Zero

• For any integer a, a × 0 = 0 × a = 0.

Multiplicative Identity

• 1 is the multiplicative identity for integers.
• a × 1 = 1 × a = a

Division of Integers

• (positive integer/negative integer)or(negative integer/positive integer) ⇒ The quotient obtained is a negative integer.
• (positive integer/positive integer)or(negative integer/negative integer) ⇒ The quotient obtained is a positive integer.

Properties of Division of Integers

For any integer a,

• a/0 is not defined

Integers are not closed under division.

Example: (–9)÷(–3)=3 result is an integer but (−3)÷(−9)=−3−9=13=0.33 which is not an integer. To know more about Number Lines, visit here .

Also Check:

Keep visiting BYJU’S for more such CBSE Class 6 notes of maths and science along with other important topic-wise study materials.

Frequently Asked Questions on CBSE Class 6 Maths Notes Chapter 6 Integers

What is ‘closure property’.

Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number.

What are the properties of zero?

1. Zero is even 2. Zero is neither positive nor negative 3. Zero is an integer

What is the defintion of ‘inverse’?

A term is said to be in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases) of or relating to an inverse function.

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

Extra Questions for Class 6 Maths with Solutions

June 5, 2019 by Veerendra

Extra Questions for Class 6 Maths with Solutions Chapter Wise are given for the students so that they can get to know the answers to the questions in case they are not able to find it. It is important for all the students who are in Class 6 currently. Here we are providing the solutions based on all the chapters of NCERT Mathematics Class 6 Textbook for the students.

Extra Questions for Class 6 Maths

Here is the list of Extra Questions for Class 6 Maths with Solutions and Answers Chapter wise based on latest NCERT syllabus (http://ncert.nic.in/) prescribed by CBSE.

• Chapter 1 Knowing Our Numbers Class 6 Extra Questions
• Chapter 2 Whole Numbers Class 6 Extra Questions
• Chapter 3 Playing With Numbers Class 6 Extra Questions
• Chapter 4 Basic Geometrical Ideas Class 6 Extra Questions
• Chapter 5 Understanding Elementary Shape Class 6 Extra Questions
• Chapter 6 Integers Class 6 Extra Questions
• Chapter 7 Fractions Class 6 Extra Questions
• Chapter 8 Decimals Class 6 Extra Questions
• Chapter 9 Data Handling Class 6 Extra Questions
• Chapter 10 Mensuration Class 6 Extra Questions
• Chapter 11 Algebra Class 6 Extra Questions
• Chapter 12 Ratio and Proportion Class 6 Extra Questions
• Chapter 13 Symmetry Class 6 Extra Questions
• Chapter 14 Practical Geometry Class 6 Extra Questions

NCERT Solutions for Class 6 Maths

You can also refer NCERT Solutions for Class 6 Maths for your homework help.

Free Resources

NCERT Solutions

Quick Resources

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Hint: Represent integers with their signs in order to differentiate positive number, negative number and zero from each other

Question.1. Which set shows all numbers less than 0?

(a) 12, 23, 37 (b) –15, 0, 15 (c) –28, –9, 0 (d) –54, –43, –39

Question.2. The number -x is a negative integer. Which of these is a valid conclusion about x ?

(a) x is any integer greater than or equal to 0. (b) x is any integer less than or equal to 0. (c) x is any integer greater than 0. (d) x is any integer less than 0.

Ans.1. (d) –54, –43, –39 Ans.2. (c) x is any integer greater than 0.

Hint: Denote numbers with their signs in order to represent real life situations like temperature scale, credit debit etc.

Question.3. The depth of a submarine is 542 meters below the sea level. If 0 represents the sea level, what is the elevation of the submarine?

(a) 542 (b) –542 (c) \frac{1}{542} (d) -\frac{1}{542}

Question.4. Aakriti has a certain amount of money. She spends more money than she has by borrowing some money from her friend. Aakriti made the following statements. Statement I: The initial amount of money she has is represented by a positive integer. Statement II: The amount she spent is represented by a negative integer. Which of these statements is/are true?

(a) Only statement I (b) Only statement II (c) Both statements I and II (d) Neither statement I nor statement II

Ans.3. (b) –542 Ans.4. (c) Both statements I and II

Hint: Represent the integer on Number Line in order to determine its position with respect to other integers.

Question.5. Ajay plots two points A and B on the number line.

• Point A lies 3 points to the left of zero.
• Point B lies 5 points to the right of point A.

Which of these options correctly represents the points A and B?

• Point U is moved 9 steps to its right to get point V.
• Point V is moved 5 steps to its left to get point W.

Which of these represents the position of point W with respect to n ?

(a) It lies 1 step to the right of n . (b) It lies 1 step to the left of n . (c) It lies 4 steps to the right of n . (d) It lies 4 steps to the left of n .

Hint: Determine one more and one less of a given integers in order to find its predecessor and successor.

Question.7. What is the successor of the predecessor of –12?

(a) –11 (b) –12 (c) –13 (d) –14

Question.8. The predecessor of an integer is k+13 and the successor of the integer is -k+5 . What is the integer?

(a) –3 (b) –4 (c) –5 (d) –6

Ans.7. (b) –12 Ans.8. (c) –5

Hint: Determine the order of integers in order to represent them on number line and draw comparison between them.

Question.9. Which of these can be used to prove that −4 > −7 using a number line?83

(a) On the number line 4 is to the left of –7. (b) On the number line –4 is to the left of –7. (c) On the number line 4 is to the right of –7. (d) On the number line–4 is to the right of –7.

Question.10. Given that m is a positive integer and n is a negative integer. Which of these statements is correct?

(a) The predecessor of m will be always greater than the successor of n . (b) The predecessor of m will be always less than the successor of n . (c) The predecessor of m and successor of n can never be equal. (d) The predecessor of m and successor of n can be equal.

Ans.9. (d) On the number line –4 is to the right of –7. Ans.10. (d) The predecessor of m and successor of n can be equal.

Hint: Represent the integers on number line in order to perform arithmetic operations on them.

Question.11. Which number line shows the addition of −4 and its successor?

Question.12. The value of 7-3+p is the greatest negative integer. Which number line shows the value of p ?

Hint: Apply the rules of integer’s operations in order to perform arithmetic operations on them.

Question.13. What is the result obtained on subtracting 98 from the sum of –126 and 154?

(a) 126 (b) 70 (c) –7084 (d) –126

Question.14. If p = −54 and q = 29 , what is the largest negative integer that should be added to (p+q)-(p-q) so that the result is a negative integer?

(a) –59 (b) –58 (c) –47 (d) –39

Ans.13. (c) –7084 Ans.14. (a) –59

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Question 1:

Write opposites of the following:

(a) Increase in weight (b) 30 km north

(c) 326 BC (d) Loss of Rs 700

(e) 100 m above sea level

(a) Decrease in weight

(b) 30 km south

(c) 326 A.D.

(d) Gain of Rs 700

(e) 100 m below sea level

Page No 120:

Question 2:.

Represent the following numbers as integers with appropriate signs.

(a) An aeroplane is flying at a height two thousand metre above the ground.

(b) A submarine is moving at a depth, eight hundred metre below the sea level.

(c) A deposit of rupees two hundred.

(d) Withdrawal of rupees seven hundred.

(b) −800

(d) −700

Question 3:

Represent the following numbers on a number line:

(a) + 5 (b) − 10 (c) + 8

(d) − 1 (e) − 6

Question 4:

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

(a) If point D is + 8, then which point is − 8?

(b) Is point G a negative integer or a positive integer?

(c) Write integers for points B and E.

(d) Which point marked on this number line has the least value?

(e) Arrange all the points in decreasing order of value.

(b) Negative integer (−6)

(c) Point B represents 4 and point E represents −10.

(d) E has the least value as it represents −10.

(e) D > C > B > A > O > H > G > F > E ​​

Video Solution for Integers (Page: 120 , Q.No.: 4)

NCERT Solution for Class 6 math - Integers 120 , Question 4

Page No 121:

Question 5:.

Following is the list of temperatures of five places in India on a particular day of the year.

(a) Write the temperatures of these places in the form of integers in the blank column.

(b) Following is the number line representing the temperature in degree Celsius.

Plot the name of the city against its temperature.

(c) Which is the coolest place?

(d) Write the names of the places where temperatures are above 10°C.

(c) Siachin

(d) Delhi, Ahmedabad ​​

Video Solution for Integers (Page: 121 , Q.No.: 5)

NCERT Solution for Class 6 math - Integers 121 , Question 5

Question 6:

In each of the following pairs, which number is to the right of the other on the number line?

(a) 2, 9 (b) − 3, − 8 (c) 0, − 1

(d) − 11, 10 (e) − 6, 6 (f) 1, − 100

(a) 9 (9 > 2)

(b) −3 (−3 > −8)

(c) 0 (0 > −1)

(d) 10 (10 > −11)

(e) 6 (6 > −6)

(f) 1 (1 > −100)

Question 7:

Write all the integers between the given pairs (write them in the increasing order.)

(a) 0 and − 7 (b) − 4 and 4

(c) − 8 and − 15 (d) − 30 and − 23

(a) −6, −5, −4, −3, −2, −1

(b) −3, −2, −1, 0, 1, 2, 3

(c) −14, −13, −12, −11, −10, −9

(d) −29, −28, −27, −26, −25, −24

Question 8:

(a) Write four negative integers greater than − 20.

(b) Write four negative integers less than − 10.

(a) −19, −18, −17, −16

(b) −11, −12, −13, −14

Question 9:

For the following statements, write True (T) or False (F). If the statement is false, correct the statement.

(a) − 8 is to the right of − 10 on a number line.

(b) − 100 is to the right of − 50 on a number line.

(c) Smallest negative integer is − 1

(d) − 26 is greater than − 25.

(a) True (−8 > −10)

(b) False (−50 > −100)

−100 is to the left of −50 on a number line.

(c) False, as the greatest negative integer is −1.

(d) False, as −26 is smaller than −25.

Page No 122:

Question 10:.

Draw a number line and answer the following:

(a) Which number will we reach if we move 4 numbers to the right of − 2.

(b) Which number will we reach if we move 5 numbers to the left of 1.

(c) If we are at − 8 on the number line, in which direction should we move to reach − 13?

(d) If we are at − 6 on the number line, in which direction should we move to reach − 1?

We will reach at 2, if we move 4 numbers to the right of −2.

We will reach at −4, if we move 5 numbers to the left of 1.

Clearly, −13 is to the left of −8. Therefore, we should move towards the left direction.

Clearly, −1 is to the right of −6. Therefore, we should move towards the right direction.

Page No 128:

Using the number line write the integer which is:

(a) 3 more than 5

(b) 5 more than −5

(c) 6 less than 2

(d) 3 less than −2

Hence, −4

Hence, −5

Video Solution for Integers (Page: 128 , Q.No.: 1)

NCERT Solution for Class 6 math - Integers 128 , Question 1

Use number line and add the following integers:

(a) 9 + (− 6)

(b) 5 + (− 11)

(c) (− 1) + (− 7)

(d) (− 5) + 10

(e) (− 1) + (− 2) + (− 3)

(f) (− 2) + 8 + (− 4)

Hence, −6

Hence, −8

Video Solution for Integers (Page: 128 , Q.No.: 2)

NCERT Solution for Class 6 math - Integers 128 , Question 2

Add without using number line:

(a) 11 + (− 7)

(b) (− 13) + (+18)

(c) (− 10) + (+19)

(d) (− 250) + (+ 150)

(e) (− 380) + (− 270)

(f) (− 217) + (− 100)

(a) 11 + (−7) = 4

(b) (−13) + (+18) = 5

(c) (−10) + (+19) = 9

(d) (−250) + (+150) = −100

(e) (−380) + (−270) = −650

(f) (−217) + (−100) = −317

Page No 129:

(a) 137 and −354 (b) − 52 and 52

(c) − 312, 39 and 192 (d) − 50, − 200 and 300

(a) 137 + (−354) = −217

(b) −52 + 52 = 0

(c) −312 + 39 + 192 = −312 + 231 = −81

(d) −50 + (−200) + 300 = −250 + 300 = 50

Find the sum:

(a) (− 7) + (− 9) + 4 + 16 (b) (37) + (− 2) + (− 65) + (− 8)

(a) (−7) + (−9) + 4 + 16 = −16 + 20 = 4

(b) 37 + (−2) + (−65) + (−8) = 37 + (−75) = −38

Page No 131:

(a) 35 − (20) (b) 72 − (90)

(c) (− 15) − (− 18) (d) (− 20) − (13)

(e) 23 − (− 12) (f) (− 32) − (− 40)

(a) 35 − 20 = 15

(b) 72 − 90 = −18

(c) −15 − (−18) = − 15 + 18 = 3

(d) − 20 − 13 = −33

(e) 23 − (−12) = 23 + 12 = 35

(f) (−32) − (−40) = −32 + 40 = 8

Fill in the blanks with >, < or = sign.

(a) (− 3) + (− 6) _____ (− 3) − (− 6)

(b) (− 21) − (− 10) _____ (− 31) + (− 11)

(c) 45 − (− 11) _____ 57 + (− 4)

(d) (− 25) − (− 42) _____ (− 42) − (−25)

(a) (−3) + (−6) = −9

(−3) − (−6) = − 3 + 6 = 3

−9 < 3

(b) − 21 − (−10) = − 21 + 10 = −11

− 31 + (−11) = −42

−11 > −42

(c) 45 − (−11) = 45 + 11 = 56

57 + (−4) = 57 − 4 = 53

(d) (−25) − (−42) = − 25 + 42 = 17

− 42 − (−25) = − 42 + 25 = −17

17 > −17

Fill in the blanks.

(a) (− 8) + _____ = 0

(b) 13 + _____ = 0

(c) 12 + (− 12) = _____

(d) (− 4) + _____ = − 12

(e) _____ − 15 = − 10

(a) − 8 + 8 = 0

(d) − 4 + (−8) = −12

(e) 5 − 15 = −10

(a) (− 7) − 8 − (− 25)

(b) (− 13) + 32 − 8 − 1

(c) (− 7) + (− 8) + (− 90)

(d) 50 − (− 40) − (− 2)

(a) − 7 − 8 − (−25) = − 7 − 8 + 25 = − 15 + 25 = 10

(b) (−13) + 32 − 8 − 1 = − 13 + 32 − 8 − 1 = 32 − 22 = 10

(c) (−7) + (−8) + (−90) = − 7 − 8 − 90 = −105

(d) 50 − (−40) − (−2) = 50 + 40 + 2 = 92

View NCERT Solutions for all chapters of Class 6

• Integers Class 7 Case Study Questions Maths Chapter 1

Last Updated on August 16, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 1 Integers. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Table of Contents

Case Study Questions on Integers

In a test $(+5)$ marks are given for every correct answer and (-3) Marks are given for every incorrect answers and no marks for not attempting any question. Daksh scored 16 marks, while Riya scores $(-8)$ marks Manya scored 10 marks.

Answer the following questions:

Q.1. Total marks scored by Daksh, Riya and Manya: (a) 34 (b) 18 (c) -18 (d) 20

Difficulty Level: Easy

Ans. Option (b) is correct. Explanation: Since, Total marks scored by Darsh, $\begin{aligned} \text { Riya and Mayan } & =16+(-8)+10 \\ & =18\end{aligned}$

Q. 2. Product of Marks scored by all of then is: (a) -2440 (b) -1280 (c) 1440 (d) 20

Ans. Option (b) is correct. Explanation: Since, Product of marks scored by all of them $$ \begin{aligned} & =(16) \times(-8) \times 10 \\ & =16 \times(-80) \\ & =-1280 \end{aligned} $$ Q.3. If Daksh get 5 correct answers, then number of questions be attempt incorrectly is: (a) 7 (b) 5 (c) 3 (d) 6

Difficulty Level: Medium

Ans. Option (c) is correct. Explanation: Total Marks scored by Daksh $=16$ but No. of correct question by Daksh $=5$ Marks scored for correct question $=5 \times 5=25$ Deducting marks of wrong question $=$ Total marks – correct question scored $$ \begin{aligned} & =26-25 \\ & =-9 \end{aligned} $$

Hence, No of incorrect questions $$ \begin{aligned} & =\frac{\text { total dedecting marks }}{\text { one mark no. of dedection }} \\ & =\frac{-9}{-3}=3 \end{aligned} $$ Q. 4. If Riya has attempted 6 questions incorrectly, then find the number of questions she has attempted correctly?

Sol. Total marks scored by Riya =(-8) No. of incorrect question =6 Marks scored by incorrect question =6×(-3)=-18 Marks scored by correct question = total scored by Riya – incorrect question numbers $$ =(-8)-(+8) $$

Hence, No. of correct question $$ \begin{aligned} & =\frac{\text { total mark by correct question }}{\text { mark of } 1 \text { corr.question }} \\ & =\frac{10}{5}=2 \end{aligned} $$

• Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
• Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
• Lines and Angles Class 7 Case Study Questions Maths Chapter 5
• Simple Equations Class 7 Case Study Questions Maths Chapter 4

Data Handling Class 7 Case Study Questions Maths Chapter 3

Fractions and decimals class 7 case study questions maths chapter 2, topics from which case study questions may be asked.

• Properties of Addition and Subtraction of Integers
• Multiplication of Integers
• Properties of Multiplication of Integers
• Division of Integers
• Properties of Division of Integers

Integers are the set of whole numbers along with the negative numbers.

Case study questions from the above given topic may be asked.

Operations on Integers

• To add two integers of the same sign, add their absolute values and put the common sign.
• To add two integers of the opposite signs, find the difference in their absolute values and put the sign of the number with greater absolute value.
• The product of two positive integers is always a positive integer.
• The product of a positive and a negative integer is always a negative integer.
• The product of two negative integers is always a positive integer.
• When a positive integer is divided by a negative integer, the quotient is a negative integer and vice versa.
• When a negative integer is divided by a negative integer, the quotient is a positive integer.

Zero is the additive identity and 1 is the multiplicative identity for integers. Therefore, for any integer ‘a’, a + 0 = 0 + a = a and a × 1 = 1 × a = a.

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Frequently Asked Questions (FAQs) on Integers Case Study

Q1: what are integers.

A1: Integers are a set of numbers that include all the whole numbers (positive), their opposites (negative), and zero. In mathematical terms, integers are the set of numbers {…, -3, -2, -1, 0, 1, 2, 3, …}.

Q2: How are integers different from whole numbers?

A2: Whole numbers are non-negative numbers including zero, such as 0, 1, 2, 3, and so on. Integers, on the other hand, include both positive and negative numbers along with zero.

Q3: How do you add integers?

A3: To add two integers: If both integers have the same sign, add their absolute values, and give the result the same sign. If the integers have different signs, subtract the smaller absolute value from the larger absolute value and give the result the sign of the integer with the larger absolute value.

Q4: What is the rule for subtracting integers?

A4: Subtracting an integer is the same as adding its opposite. For example, to subtract -3 from 5, you add the opposite of -3, which is +3, so the result is 5 + 3 = 8.

Q5: Can you explain the multiplication rule for integers?

A5: The multiplication rule for integers is: When multiplying two integers with the same sign, the product is positive. When multiplying two integers with different signs, the product is negative.

Q6: What are the properties of integers?

A6: Some important properties of integers include: Closure: The sum, difference, and product of any two integers will always be an integer. Commutative Property: The order of addition or multiplication does not affect the result. Associative Property: The grouping of numbers in addition or multiplication does not affect the result. Distributive Property: Multiplication distributes over addition or subtraction.

Q7: Why is zero an important integer?

A7: Zero is a unique integer that is neither positive nor negative. It is the additive identity, meaning any integer added to zero remains unchanged. Zero also serves as the reference point on the number line, separating positive integers from negative integers.

Q8: How can we represent integers on a number line?

A8: Integers can be represented on a number line with zero at the center, positive integers to the right of zero, and negative integers to the left. The distance of an integer from zero on the number line represents its absolute value.

Q9: Are there any online resources or tools available for practicing comparing quantities case study questions?

A9: We provide case study questions for CBSE Class 8 Maths on our  website . Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit  Physics Gurukul  website. they are having a large collection of case study questions for all classes.

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