Question : The simplified value of (0.2)3 × 400 ÷ 2000 of (0.2)2 is:
Option 1: $\frac{1}{25}$
Option 2: $\frac{3}{25}$
Option 3: $\frac{2}{25}$
Option 4: $\frac{1}{50}$
Answer (1)
23rd Jan, 2024
Correct Answer: $\frac{1}{25}$
Solution :
(0.2)
3
× 400 ÷ 2000 of (0.2)
2
= (0.2)
3
× 400 ÷ (2000 × $\frac{4}{100}$)
= $\frac{8}{1000}$ × 400 ÷ 80
= $\frac{8}{1000}$ × 5
= $\frac{1}{125}$ × 5
= $\frac{1}{25}$
Hence, the correct answer is $\frac{1}{25}$.
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