Question

Write 'T' for true and 'F' for false

(i) 0.5 × 0.05 = 0.25
(ii) 0.25 × 0.8 = 0.2
(iii) 0.35 ÷ 0.7 = 0.5
(iv) .4 × .4 × .4 = 0.64
(v) 6 cm = 0.06 m

Answer 1

(i) T
We have:
0.5 × 0.05
Now, 5 × 5 = 25
Sum of decimal places in the given decimals = ( 1 + 2) = 3
∴ 0.5 × 0.05 = 0.025

(ii) T
We have:
0.25 × 0.8
Now, 25 × 8 = 200
Sum of decimal places in the given decimals = (2 +1) = 3
∴ 0.25 × 0.8 =0.200 = 0.2


(iii) T
We have:
0.35 ÷ 0.7 = $\frac{0.35}{0.7}=\frac{0.35\times 10}{0.7\times 10}=\frac{3.5}{7}=0.5$

(iv) F
We have:
0.4 × 0.4 × 0.4
Now, 4 × 4 × 4 = 64
Sum of decimal places in the given decimals = (1 +1 +1) = 3
∴ 0.4 × 0.4 × 0.4 = 0.064

(v) T
6 cm = $\left(\frac{6}{100}\right)$ m = 0.06 m