NCERT Solutions for Class 7th Maths Chapter 4 In-text Questions — Decimal Multiplication

Book page 69 Updated on2026-09-19

Q1.
Example 1: Arshad goes to a stationery shop and purchases 5 pens. If one pen costs ₹9.5 (9 rupees and 50 paisa), how much should he pay the shopkeeper?
Answer

Arshad should pay ₹47.5.

Five pens means the price 9.5 taken 5 times.

9.5 × 5 = 9.5 + 9.5 + 9.5 + 9.5 + 9.5 = 47.5

The same answer comes out of the fraction method.

9.5 = 95/10 and 5 = 5/1
Cost of 5 pens = 5/1 × 95/10
= (5 × 95) / (1 × 10)   (multiply numerators, multiply denominators)
= 475/10
= ₹47.5
Why it happens: ₹9.5 is 9 rupees and 50 paisa. Five pens cost 45 rupees plus 5 × 50 = 250 paisa = ₹2.50. Together ₹47.50 — the very same number.
Q2.
What operation must we use here?
Answer

Multiplication.

Each pen costs the same amount, and there are 5 of them. Adding the same number again and again is multiplication.

9.5 + 9.5 + 9.5 + 9.5 + 9.5 = 9.5 × 5
Why it happens: repeated addition of equal amounts is exactly what multiplication was invented for. This does not change just because the amount is a decimal — 9.5 is a number like any other.
Q3.
Example 2: A car travels 12.5 km per litre of petrol. What is the distance covered with 7.5 litres of petrol?
Answer

The car covers 93.75 km.

Distance = 12.5 × 7.5
= 125/10 × 75/10
= (125 × 75) / (10 × 10)
= 9375/100
= 93.75 km
Why it happens: each denominator is 10, so their product is 100 — two zeroes, hence two digits after the point in the answer. Notice that 12.5 and 7.5 have one decimal place each, and 1 + 1 = 2. That is the rule the chapter is heading towards.
Check it yourself: 7.5 litres is a little less than 8 litres, and 8 × 12.5 = 100 km. So the answer must be a little under 100 km. 93.75 fits.
Was this helpful?