Important Questions and Answers for Class 7 Maths Chapter 3 A Peek Beyond The Point 2025-26

1. Multiple choice questions.

Q1. The main reason to divide a unit length into smaller parts on a scale is:

• (a) To make the scale look attractive
• (b) To arrange more numbers
• (c) To measure lengths accurately, even if the difference is small
• (d) To increase the size of the unit

Answer: (c) To measure lengths accurately, even if the difference is small

Q2. How do you read the length 2⁷⁄₁₀ cm?

• (a) Two and seventy centimeters
• (b) Two and seven one-tenths centimeters
• (c) Two and seven-hundredths centimeters
• (d) Two and seven centimeters

Answer: (b) Two and seven one-tenths centimeters

Q3. 10 one-hundredths are equal to:

• (a) 1 unit
• (b) 10 tenths
• (c) 1 tenth
• (d) 100 units

Answer: (c) 1 tenth

Q4. If 8⁹⁄₁₀ units is folded in half, the length will be between:

• (a) 8 units and 9 units
• (b) 4⁴⁄₁₀ units and 4⁵⁄₁₀ units
• (c) 3 units and 4 units
• (d) 2 units and 5 units

Answer: (b) 4⁴⁄₁₀ units and 4⁵⁄₁₀ units

2. Very Short Answer (VSA).

Q5. What is the meaning of 3⁶⁄₁₀?

Answer: 3⁶⁄₁₀ means 3 units and 6 one-tenths. It can also be read as "three and six-tenths".

Q6. How many one-tenths are there in 1 unit?

Answer: There are 10 one-tenths in 1 unit. Each tenth is one-tenth the size of the entire unit.

Q7. What is the benefit of using decimal points?

Answer: Decimal points help separate the whole number part from the fractional part, making measurement and calculation easier.

3. Short Answer Questions.

Q8. Why is it necessary to divide the unit length into smaller parts while measuring?

Answer: Dividing the unit length into smaller parts, like tenths and hundredths, allows us to measure even small differences accurately. For example, the difference in the length of two screws may be very small, so using smaller units helps us capture this and avoid measurement errors.

Q9. Find the total length if Sonu’s lower arm is 2⁷⁄₁₀ units and his upper arm is 3⁶⁄₁₀ units.

Answer:

• Add the unit parts: $2 + 3 = 5$
• Add the tenths: $7 + 6 = 13$ one-tenths
• 13 one-tenths = 1 unit and 3 one-tenths
• Total: $5 + 1 = 6$ units and 3 tenths; thus, total length is 6³⁄₁₀ units.

Q10. Write the length 4⁴⁄₁₀ ⁵⁄₁₀₀ in words.

Answer: 4⁴⁄₁₀ ⁵⁄₁₀₀ is read as "four units and 4 one-tenths and 5 one-hundredths." It can also be said as "4 units and 45 hundredths."

Q11. Arrange the following in increasing order: ⁹⁄₁₀, 1⁷⁄₁₀, ¹³⁰⁄₁₀.

Answer:

• Convert: ⁹⁄₁₀ = 0.9, 1⁷⁄₁₀ = 1.7, ¹³⁰⁄₁₀ = 13
• Order: ⁹⁄₁₀, 1⁷⁄₁₀, ¹³⁰⁄₁₀

Q12. If a wire is measured as 1¹⁄₁₀ 4⁴⁄₁₀₀, express this in two other ways.

Answer:

• As hundredths: 1¹⁴⁄₁₀₀
• As improper fraction: 114/100

Q13. Find the sum: 15³⁄₁₀ 4¹⁰⁰ + 2⁶⁄₁₀ 8¹⁰⁰

Answer:

1. Add units: 15 + 2 = 17
2. Add tenths: 3 + 6 = 9
3. Add hundredths: 4 + 8 = 12
4. 12 hundredths = 1 tenth and 2 hundredths
5. Total: 17 + 1 (from tenths) = 18 units and 2 hundredths, i.e., 18²⁄₁₀₀

4. True or False Questions.

Q14. 100 one-hundredths is equal to 1 unit.

Answer: True.

Q15. A decimal point separates the tenths and the hundredths in a number.

Answer: False. A decimal point separates the whole number part from the fractional part.

Q16. The main concept of “A Peek Beyond The Point” is comparing and calculating with decimal numbers.

Answer: True.

3. Fill in the Blanks Questions.

Q17. 1 unit = _____ one-tenths.

Answer: 10

Q18. Arranging 4¹⁄₁₀, ⁴⁄₁₀, 41¹⁄₁₀ in increasing order gives: _____, _____, _____

Answer: ⁴⁄₁₀, 4¹⁄₁₀, 41¹⁄₁₀

Q19. 1 tenth = _____ one-hundredths.

Answer: 10

Q20. 25⁹⁄₁₀ 10¹⁰⁰ – 6⁴⁄₁₀ 7¹⁰⁰ = _____

Answer: 19⁴⁄₁₀ 3¹⁰⁰

Learning Decimals: Why It’s Important in Class 7 Maths

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