Question

Write down the decimal expansions of the following rational numbers:

$\frac{7}{8}$(Answer to the closest integer).

Answer 1

Given rational number $\frac{7}{8}$

Here, the factors of the denominator 8 are $2^3\times 5^0$ which is in the form $2^m{5}^n$

So , $\frac{23}{8}$ has terminating decimal expansion.

The decimal expansion of $\frac{7}{8}$ :

$7\times \frac{125}{8}\times 125=\frac{875}{1000}=0.875$

Thus the closest integer to the given value is $1$.