Question

Change each of following fractions to a decimal fraction:

(i) $\frac{3}{{10}^3}$
(ii) $\frac{7295}{{10}^5}$

Answer 1

(i) $\frac{3}{{10}^3}$
To convert into decimal number
= $\frac{3}{10\times 10\times 10}$
= $\frac{3}{1000}$
Here, number of zeros is 3
Therefore, decimal form of $\frac{3}{{10}^3}$ is $0.003$

(ii) $\frac{7295}{{10}^5}$
To convert into decimal number
= $\frac{7295}{10\times 10\times 10\times 10\times 10}$
= $\frac{7295}{100000}$
Here, number of zeros is 5
Therefore, decimal form of $\frac{7295}{{10}^5}$ is $0.07295$