CBSE Class 7 Maths Chapter 10: Operations with Integers — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 10: Operations with Integers from the NCERT Class 7 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): Adding a positive integer moves right on a number line.
Reason (R): Numbers increase toward the right.
Reason (R): Numbers increase toward the right.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The direction represents increasing value.
2
Assertion (A): The sum of two negative integers is negative.
Reason (R): The product of two negative integers is positive.
Reason (R): The product of two negative integers is positive.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but multiplication does not explain addition.
3
Assertion (A): Adding 3 moves three steps right from -8.
Reason (R): The sum of -8 and 3 is 5.
Reason (R): The sum of -8 and 3 is 5.
Answer: (c)
A is true, but R is false. The endpoint is -5.
4
Assertion (A): Subtracting an integer is the same as adding it unchanged.
Reason (R): Subtracting b means adding -b.
Reason (R): Subtracting b means adding -b.
Answer: (d)
A is false, but R is true. The additive inverse is required.
5
Assertion (A): The product of integers with the same sign is positive.
Reason (R): Two sign reversals cancel in multiplication.
Reason (R): Two sign reversals cancel in multiplication.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This gives the same-sign rule.
6
Assertion (A): The product of integers with unlike signs is negative.
Reason (R): Zero multiplied by any integer is zero.
Reason (R): Zero multiplied by any integer is zero.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the zero property does not explain the sign rule.
7
Assertion (A): A product of two negatives is positive.
Reason (R): The product (-6)(-4) is -24.
Reason (R): The product (-6)(-4) is -24.
Answer: (c)
A is true, but R is false. The result is 24.
8
Assertion (A): The product of three negative integers is positive.
Reason (R): An odd number of negative factors gives a negative product.
Reason (R): An odd number of negative factors gives a negative product.
Answer: (d)
A is false, but R is true. The result is negative.
9
Assertion (A): Multiplication of integers is commutative.
Reason (R): For integers a and b, ab = ba.
Reason (R): For integers a and b, ab = ba.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Changing factor order preserves the product.
10
Assertion (A): Integer multiplication is associative.
Reason (R): It also distributes over addition.
Reason (R): It also distributes over addition.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but distributivity does not explain associativity.
11
Assertion (A): For example, 5 - 8 differs from 8 - 5.
Reason (R): Integer subtraction is commutative.
Reason (R): Integer subtraction is commutative.
Answer: (c)
A is true, but R is false. Order matters.
12
Assertion (A): Integer division is always closed in the integers.
Reason (R): For example, 1 divided by 2 is not an integer.
Reason (R): For example, 1 divided by 2 is not an integer.
Answer: (d)
A is false, but R is true. The quotient may lie outside the integers.
13
Assertion (A): The distributive property gives a(b+c)=ab+ac.
Reason (R): The multiplier applies to both addends.
Reason (R): The multiplier applies to both addends.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This is the expansion rule.
14
Assertion (A): The value of -3(4-6) is 6.
Reason (R): The value of (-3)4 is -12.
Reason (R): The value of (-3)4 is -12.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the partial product alone does not explain the complete result.
15
Assertion (A): An even number of negative factors gives a positive product.
Reason (R): The value of (-2)^4 is -16.
Reason (R): The value of (-2)^4 is -16.
Answer: (c)
A is true, but R is false. The value is 16.
16
Assertion (A): The additive inverse of -7 is -7.
Reason (R): The additive inverse is 7 because their sum is zero.
Reason (R): The additive inverse is 7 because their sum is zero.
Answer: (d)
A is false, but R is true. Opposites sum to zero.
17
Assertion (A): Zero is the additive identity for integers.
Reason (R): Adding zero leaves an integer unchanged.
Reason (R): Adding zero leaves an integer unchanged.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This is the identity property.
18
Assertion (A): One is the multiplicative identity.
Reason (R): Negative one reverses the sign of an integer when multiplied.
Reason (R): Negative one reverses the sign of an integer when multiplied.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but sign reversal does not explain identity.
19
Assertion (A): A product is zero when at least one factor is zero.
Reason (R): If ab=0 for integers, both a and b must be zero.
Reason (R): If ab=0 for integers, both a and b must be zero.
Answer: (c)
A is true, but R is false. Only one factor need be zero.
20
Assertion (A): The quotient -20 divided by -5 is -4.
Reason (R): Dividing integers with the same sign gives a positive quotient.
Reason (R): Dividing integers with the same sign gives a positive quotient.
Answer: (d)
A is false, but R is true. The quotient is 4.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 10 Operations with Integers?
This chapter covers all key topics from Operations with Integers as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 7 board exam preparation covering the complete syllabus.
Are these CBSE Class 7 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 7 Maths?
All chapters of CBSE Class 7 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Operations with Integers online for free?
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