CBSE Class 6 Maths Chapter 10: The Other Side of Zero — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 10: The Other Side of Zero from the NCERT Class 6 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): Integers include negative whole numbers, zero and positive whole numbers.
Reason (R): They extend the number line to values on both sides of zero.
Reason (R): They extend the number line to values on both sides of zero.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The two-sided extension defines the set.
2
Assertion (A): Integers include negative whole numbers, zero and positive whole numbers.
Reason (R): Fractions can lie between integers.
Reason (R): Fractions can lie between integers.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): Integers include negative whole numbers, zero and positive whole numbers.
Reason (R): Integers include only positive counting numbers.
Reason (R): Integers include only positive counting numbers.
Answer: (c)
A is true, but R is false. Negative numbers and zero are included.
4
Assertion (A): Zero is not an integer.
Reason (R): They extend the number line to values on both sides of zero.
Reason (R): They extend the number line to values on both sides of zero.
Answer: (d)
A is false, but R is true. Zero belongs to the integers.
5
Assertion (A): On a number line, a number farther right is greater.
Reason (R): The ordered positions increase from left to right.
Reason (R): The ordered positions increase from left to right.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The spatial order explains comparison.
6
Assertion (A): On a number line, a number farther right is greater.
Reason (R): Zero is greater than every negative integer.
Reason (R): Zero is greater than every negative integer.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): On a number line, a number farther right is greater.
Reason (R): A number farther left is always greater.
Reason (R): A number farther left is always greater.
Answer: (c)
A is true, but R is false. The direction is reversed in the reason.
8
Assertion (A): Negative 5 is greater than negative 2.
Reason (R): The ordered positions increase from left to right.
Reason (R): The ordered positions increase from left to right.
Answer: (d)
A is false, but R is true. Negative 2 lies to the right and is greater.
9
Assertion (A): Adding a positive integer moves right on the number line.
Reason (R): Positive change increases the current value.
Reason (R): Positive change increases the current value.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Increase corresponds to rightward motion.
10
Assertion (A): Adding a positive integer moves right on the number line.
Reason (R): Adding zero leaves a number unchanged.
Reason (R): Adding zero leaves a number unchanged.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): Adding a positive integer moves right on the number line.
Reason (R): Adding a positive integer moves left.
Reason (R): Adding a positive integer moves left.
Answer: (c)
A is true, but R is false. The movement is to the right.
12
Assertion (A): The sum -3 + 5 is -8.
Reason (R): Positive change increases the current value.
Reason (R): Positive change increases the current value.
Answer: (d)
A is false, but R is true. The sum is 2.
13
Assertion (A): Adding a negative integer moves left on the number line.
Reason (R): A negative change decreases the current value.
Reason (R): A negative change decreases the current value.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Decrease corresponds to leftward motion.
14
Assertion (A): Adding a negative integer moves left on the number line.
Reason (R): Opposite integers have sum zero.
Reason (R): Opposite integers have sum zero.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): Adding a negative integer moves left on the number line.
Reason (R): Adding -4 is the same as adding 4.
Reason (R): Adding -4 is the same as adding 4.
Answer: (c)
A is true, but R is false. The sign changes the direction.
16
Assertion (A): The sum 6 + (-2) is 8.
Reason (R): A negative change decreases the current value.
Reason (R): A negative change decreases the current value.
Answer: (d)
A is false, but R is true. The sum is 4.
17
Assertion (A): Subtracting an integer is equivalent to adding its opposite.
Reason (R): This converts subtraction into an addition problem on the number line.
Reason (R): This converts subtraction into an addition problem on the number line.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The additive inverse rule explains subtraction.
18
Assertion (A): Subtracting an integer is equivalent to adding its opposite.
Reason (R): Temperatures below zero can be represented by negative integers.
Reason (R): Temperatures below zero can be represented by negative integers.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): Subtracting an integer is equivalent to adding its opposite.
Reason (R): Subtracting -3 is the same as adding -3.
Reason (R): Subtracting -3 is the same as adding -3.
Answer: (c)
A is true, but R is false. Subtracting -3 means adding 3.
20
Assertion (A): The difference -2 - 5 is 3.
Reason (R): This converts subtraction into an addition problem on the number line.
Reason (R): This converts subtraction into an addition problem on the number line.
Answer: (d)
A is false, but R is true. The difference is -7.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 10 The Other Side of Zero?
This chapter covers all key topics from The Other Side of Zero as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 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 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study The Other Side of Zero online for free?
Yes, complete Assertion & Reason for The Other Side of Zero is available free at eBookPublisher. Study online directly — no download needed.
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