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Number $\frac{3}{625}$ is a terminating or non-terminating repeating decimal expansion. Write it in the decimal form.

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0.0048

0.0248

0.0048

0.0047

answer is A.

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Detailed Solution

Given, number is,

\frac{3}{625}

,
Now, we will convert the denominator 625 of

\frac{3}{625}

is of the form

2^{m} \times 5^{n} .

So, we can write the given number as

= \frac{3}{625}

= \frac{3}{5^{4}}

Therefore, multiplying the numerator and denominator by

2^{4}

we get

\frac{3}{625}

= \frac{3 \times 2^{4}}{5^{4} \times 2^{4}}

= \frac{3 \times 2^{4}}{{(5 \times 2)}^{4}}

= \frac{48}{(10)^{4}}

= \frac{48}{10000}

= 0.0048

Correct option is 1.

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