CBSE Class 7 Maths Chapter 1: Large Numbers Around Us — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 1: Large Numbers Around Us 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): One lakh equals 100000.
Reason (R): The Indian place-value system groups 100 thousands as one lakh.
Reason (R): The Indian place-value system groups 100 thousands as one lakh.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The grouping defines one lakh.
2
Assertion (A): One crore equals 100 lakh.
Reason (R): One thousand equals 10 hundreds.
Reason (R): One thousand equals 10 hundreds.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second does not explain crore.
3
Assertion (A): The number 507000 has 7 in the thousands place.
Reason (R): Its value is 507 hundred.
Reason (R): Its value is 507 hundred.
Answer: (c)
A is true, but R is false. 507000 is 507 thousands, not 507 hundreds.
4
Assertion (A): The greatest six-digit number is 100000.
Reason (R): The greatest six-digit number is 999999.
Reason (R): The greatest six-digit number is 999999.
Answer: (d)
A is false, but R is true. Six-digit numbers run from 100000 to 999999.
5
Assertion (A): Rounding 47632 to the nearest thousand gives 48000.
Reason (R): The hundreds digit is 6, so the thousands value is rounded upward.
Reason (R): The hundreds digit is 6, so the thousands value is rounded upward.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. A following digit of 5 or more raises the retained place.
6
Assertion (A): An estimate need not equal the exact value.
Reason (R): Exact values are needed when precise counts matter.
Reason (R): Exact values are needed when precise counts matter.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but precision needs do not explain every estimate.
7
Assertion (A): Rounding 34249 to the nearest hundred gives 34200.
Reason (R): The tens digit is 5.
Reason (R): The tens digit is 5.
Answer: (c)
A is true, but R is false. The tens digit is 4, so the hundreds digit stays unchanged.
8
Assertion (A): Rounding always increases a number.
Reason (R): Rounding may increase or decrease it depending on the discarded digits.
Reason (R): Rounding may increase or decrease it depending on the discarded digits.
Answer: (d)
A is false, but R is true. The direction depends on proximity.
9
Assertion (A): The product of a number by 100 appends two zeros for a whole-number representation.
Reason (R): Multiplication by 100 shifts every digit two places left in place value.
Reason (R): Multiplication by 100 shifts every digit two places left in place value.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The place-value shift gives the rule.
10
Assertion (A): Ten million equals one crore.
Reason (R): Large numbers may be written with Indian or international grouping.
Reason (R): Large numbers may be written with Indian or international grouping.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but grouping conventions do not explain the numerical equality.
11
Assertion (A): The number 25 x 40 equals 100.
Reason (R): Regrouping factors gives 25 x 4 x 10.
Reason (R): Regrouping factors gives 25 x 4 x 10.
Answer: (c)
A is true, but R is false. The product is 1000.
12
Assertion (A): The expression 999 x 8 is greater than 1000 x 8.
Reason (R): Replacing 999 by 1000 makes the product larger.
Reason (R): Replacing 999 by 1000 makes the product larger.
Answer: (d)
A is false, but R is true. The estimated comparison reverses the assertion.
13
Assertion (A): The distributive property can simplify 98 x 25.
Reason (R): Writing 98 as 100 - 2 gives 2500 - 50.
Reason (R): Writing 98 as 100 - 2 gives 2500 - 50.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The result is 2450.
14
Assertion (A): A crore is larger than a lakh.
Reason (R): A million is ten lakh.
Reason (R): A million is ten lakh.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the million conversion does not explain the ordering alone.
15
Assertion (A): The number 1000000 is written as ten lakh in the Indian system.
Reason (R): It is written as one crore.
Reason (R): It is written as one crore.
Answer: (c)
A is true, but R is false. One crore is 10000000.
16
Assertion (A): An approximate population is always more accurate than an exact census count.
Reason (R): Approximations are useful for quick comparisons and planning.
Reason (R): Approximations are useful for quick comparisons and planning.
Answer: (d)
A is false, but R is true. Approximation trades some precision for convenience.
17
Assertion (A): A product can be estimated by rounding its factors.
Reason (R): Rounded factors are easier to multiply mentally.
Reason (R): Rounded factors are easier to multiply mentally.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This gives a quick reasonable magnitude.
18
Assertion (A): The number immediately after 999999 is 1000000.
Reason (R): Place-value notation uses ten digits from 0 to 9.
Reason (R): Place-value notation uses ten digits from 0 to 9.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the digit set does not explain this particular successor.
19
Assertion (A): The exact sum of 498 and 503 is 1001.
Reason (R): Rounding both to 500 gives the exact sum 1000.
Reason (R): Rounding both to 500 gives the exact sum 1000.
Answer: (c)
A is true, but R is false. The rounded result is an estimate, not the exact sum.
20
Assertion (A): A number written with more digits is always smaller.
Reason (R): For positive whole numbers without leading zeros, more digits means a larger magnitude.
Reason (R): For positive whole numbers without leading zeros, more digits means a larger magnitude.
Answer: (d)
A is false, but R is true. The assertion reverses the place-value comparison.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 1 Large Numbers Around Us?
This chapter covers all key topics from Large Numbers Around Us 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 Large Numbers Around Us online for free?
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