Question

The decimal form of $\frac{1}{80}$ is

• A. 0.125
• B. 0.0125
• C. 1.25
• D. 0.00125

Answer 1

The correct option is B 0.0125

On factorising the denominator,
$\frac{1}{80}$ = $\frac{1}{2^4\times 5}$

To convert a fraction into decimal form, make the denominator in terms of multiples of 10.

$\frac{1}{2^4\times 5}=\frac{1}{2^4\times 5}\times \frac{5^3}{5^3}=\frac{5^3}{2^4\times 5^4}=\frac{5^3}{10000}=\frac{125}{10000}=0.0125$