Question

Fill in the blanks.

(i) 1.001 ÷ 14 = ......
(ii) 204 ÷ 0.17 = ......
(iii) 0.47 × 5.3 = ......
(iv) 0.023 × 0.03 = ......
(v) (0.7)² = ......
(vi) (0.05)³ = ......

Answer 1

(i) 1.001 ÷ 14 = 0.0715

Explanation: $\frac{1.001}{14}=0.0715$


(ii) 204 ÷ 0.17 = 1200

Explanation: $\frac{204}{0.17}=\frac{204\times 100}{0.17\times 100}=\frac{204\times 100}{17}=12\times 100=1200$

(iii) 0.47 × 5.3 = 2.491

Explanation: First, we will multiply 47 by 53.

∴ 47 $\times$ 53 = 2491
Sum of decimal places in the given decimals = (2 + 1) = 3
∴ 0.47 × 5.3 = 2.491

(iv) (0.7)² = 0.49
Explanation: (0.7)² = 0.7 × 0.7
First, we will find the product 0.7 × 0.7.
Now, 7 × 7 = 49
Sum of decimal places in the given decimals = (1 + 1) = 2
So, the product must have two decimal places.
∴ (0.7)² = 0.7 × 0.7 = 0.49

(v) (0.05)³ = 0.000125
Explanation: First, we will find the product 0.05 × 0.05 × 0.05.
Now, 5 × 5 × 5 = 125
Sum of decimal places in the given decimals = (2 + 2 + 2) = 6
So, the product must have six decimal places.
∴ (0.05)³ = 0.05 × 0.05 × 0.05 = 0.000125