Question

Expanded form of 0.012 is _____

• A. $\frac{0}{1000}+\frac{1}{100}+\frac{2}{10}$
• B. $\frac{0}{10}+\frac{1}{100}+\frac{2}{1000}$
• C. $\frac{1}{100}+\frac{2}{100}$
• D. $\frac{1}{100}+\frac{2}{1000}$

Answer 1

Answer: (B), (D)

The correct options are
B $\frac{0}{10}+\frac{1}{100}+\frac{2}{1000}$
D $\frac{1}{100}+\frac{2}{1000}$

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 $0.012=\frac{0}{10}+\frac{1}{100}+\frac{2}{1000}=\frac{1}{100}+\frac{2}{1000}$