CBSE Class 7 Maths Chapter 3: A Peek Beyond the Point — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 3: A Peek Beyond the Point 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 tenth equals 0.1.
Reason (R): Dividing one whole into ten equal parts makes each part one tenth.
Reason (R): Dividing one whole into ten equal parts makes each part one tenth.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Decimal notation records the fractional place.
2
Assertion (A): One hundredth equals 0.01.
Reason (R): Ten hundredths equal one tenth.
Reason (R): Ten hundredths equal one tenth.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second is another place-value relation.
3
Assertion (A): The decimal 3.07 means 3 ones and 7 hundredths.
Reason (R): The 7 is in the tenths place.
Reason (R): The 7 is in the tenths place.
Answer: (c)
A is true, but R is false. The zero occupies tenths and 7 occupies hundredths.
4
Assertion (A): The decimal 5.4 is smaller than 5.04.
Reason (R): Five tenths is greater than four hundredths.
Reason (R): Five tenths is greater than four hundredths.
Answer: (d)
A is false, but R is true. 5.40 is greater than 5.04.
5
Assertion (A): Appending a zero to the right of a finite decimal does not change its value.
Reason (R): The added zero represents no additional part in the next smaller place.
Reason (R): The added zero represents no additional part in the next smaller place.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Thus 2.5 equals 2.50.
6
Assertion (A): The decimals 0.7 and 0.70 are equal.
Reason (R): The decimal 0.07 is seven hundredths.
Reason (R): The decimal 0.07 is seven hundredths.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the hundredths example does not explain trailing-zero equality.
7
Assertion (A): The decimal 4.185 lies between 4.18 and 4.19.
Reason (R): It is less than 4.18.
Reason (R): It is less than 4.18.
Answer: (c)
A is true, but R is false. 4.180 < 4.185 < 4.190.
8
Assertion (A): The decimal 0.9 is less than 0.12.
Reason (R): Nine tenths is greater than twelve hundredths.
Reason (R): Nine tenths is greater than twelve hundredths.
Answer: (d)
A is false, but R is true. 0.90 > 0.12.
9
Assertion (A): Aligning decimal points helps add decimals correctly.
Reason (R): It places like place values in the same columns.
Reason (R): It places like place values in the same columns.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Tenths are then added to tenths, and so on.
10
Assertion (A): The sum 2.35 + 1.4 is 3.75.
Reason (R): The difference 5.0 - 2.6 is 2.4.
Reason (R): The difference 5.0 - 2.6 is 2.4.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the subtraction does not explain the sum.
11
Assertion (A): The sum 0.8 + 0.35 is 1.15.
Reason (R): Aligning the decimal points gives a sum of 0.43.
Reason (R): Aligning the decimal points gives a sum of 0.43.
Answer: (c)
A is true, but R is false. Eight tenths plus thirty-five hundredths is 115 hundredths.
12
Assertion (A): The difference 6.2 - 1.75 is 5.55.
Reason (R): Writing 6.2 as 6.20 gives the difference 4.45.
Reason (R): Writing 6.2 as 6.20 gives the difference 4.45.
Answer: (d)
A is false, but R is true. The assertion is false.
13
Assertion (A): One metre equals 100 centimetres.
Reason (R): A centimetre is one hundredth of a metre.
Reason (R): A centimetre is one hundredth of a metre.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The unit relation gives the decimal conversion.
14
Assertion (A): A length of 1.5 cm equals 15 mm.
Reason (R): A kilogram equals 1000 grams.
Reason (R): A kilogram equals 1000 grams.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but mass conversion does not explain length.
15
Assertion (A): The number 2.34 rounded to the nearest tenth is 2.3.
Reason (R): The hundredths digit is 5 or more.
Reason (R): The hundredths digit is 5 or more.
Answer: (c)
A is true, but R is false. The hundredths digit is 4, so no upward rounding occurs.
16
Assertion (A): Every decimal has a finite number of digits.
Reason (R): Some fractions have non-terminating decimal expansions.
Reason (R): Some fractions have non-terminating decimal expansions.
Answer: (d)
A is false, but R is true. Decimals need not terminate.
17
Assertion (A): Decimals can be located on a number line by subdividing intervals.
Reason (R): Each subdivision represents a smaller equal unit.
Reason (R): Each subdivision represents a smaller equal unit.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Successive tenths and hundredths locate the number.
18
Assertion (A): Between 1.2 and 1.3 lie many decimals.
Reason (R): For example, 1.25 lies between them.
Reason (R): For example, 1.25 lies between them.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but one example establishes existence rather than explains infinitude.
19
Assertion (A): The decimal 7.05 has 0 in the tenths place.
Reason (R): The digit 5 is in the tenths place.
Reason (R): The digit 5 is in the tenths place.
Answer: (c)
A is true, but R is false. Five occupies hundredths.
20
Assertion (A): Multiplying 0.4 by 10 gives 0.04.
Reason (R): Multiplication by 10 shifts place values one position left, giving 4.
Reason (R): Multiplication by 10 shifts place values one position left, giving 4.
Answer: (d)
A is false, but R is true. The correct product is 4.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 3 A Peek Beyond the Point?
This chapter covers all key topics from A Peek Beyond the Point 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 A Peek Beyond the Point online for free?
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