Question

Exapanded form of 0.108 is _____.

• A. $\frac{1}{1000}+\frac{0}{100}+\frac{8}{10}$
• B. $\frac{1}{10}+\frac{8}{100}$
• C. $\frac{1}{10}+\frac{8}{1000}$
• D. $\frac{1}{1000}+\frac{0}{100}+\frac{8}{10}$

Answer 1

The correct option is C $\frac{1}{10}+\frac{8}{1000}$

Place value of decimal digits after decimal point towards right is $\frac{1}{10}$, $\frac{1}{100}$, $\frac{1}{1000}$, $\frac{1}{10000}$...

To get the expanded form of decimal, each digit has to be multiplied with its place value.

$\therefore$ Expanded form of $0.108=\frac{1}{10}+\frac{0}{100}+\frac{8}{1000}=\frac{1}{10}+\frac{8}{1000}$