Page 108 - ICSE Math 5

• Count and add the number of digits after the decimal point in both the numbers, i.e., the
multiplicand and the multiplier.
• Starting from the extreme right of the product obtained, move towards the left and place
the decimal point before as many digits as the sum obtained in the above step.

Example 15: Multiply 0.17 by 0.9.
Top Tip
Solution: Perform multiplication of given numbers
The number of decimal places
ignoring the decimal points.
in the multiplicand and the
6 multiplier add up to give the
1 7 number of decimal places in
× 9 the product.

1 5 3

Since 17 × 9 = 153, place the decimal point in the product obtained by counting the
decimal places of the multiplicand (2 decimal places) and the multiplier (1 decimal
place) together.
(2 + 1) decimal places = 3 decimal places

So, 0.17 × 0.9 = 0.153

17 9 153
Alternatively, 0.17 × 0.9 = × = = 0.153.
100 10 1000

Exercise 7.5

1. Multiply the following.
(a) 83.15 × 10 (b) 6.002 × 100 (c) 9.534 × 10

(d) 22.75 × 10 (e) 9.3847 × 1,000 (f) 76.632 × 100
(g) 45.086 × 1,000 (h) 89.704 × 100 (i) 93.12 × 100

2. Find the following products.
(a) 0.467 × 18 (b) 12.39 × 236 (c) 56.88 × 40 (d) 0.1564 × 75

(e) 0.64 × 0.8 (f) 3.17 × 0.04 (g) 214 × 0.5 (h) 8.1 × 6.008

3. Place the decimal point at the correct position in the following products.
(a) 6.3 × 5 = 315 (b) 16 × 2.47 = 3952

(c) 12 × 3.062 = 36744 (d) 6.75 × 3.8 = 25650
(e) 10.62 × 6.21 = 659502 (f) 9.534 × 14.7 = 1401498

4. If 136 × 14 = 1,904, then find the product of each of the following.

(a) 1.36 × 14 (b) 13.6 × 14 (c) 0.136 × 14 (d) 0.0136 × 14

98