Question

Which of the following is the correct expanded form of 0.0504?

• A. $\frac{0}{10000}+\frac{5}{1000}+\frac{0}{100}+\frac{4}{10}$
• B. $\frac{5}{1000}+\frac{4}{10}$
• C. $\frac{5}{100}+\frac{4}{10000}$
• D. $\frac{5}{10}+\frac{4}{100}$

Answer 1

The correct option is C $\frac{5}{100}+\frac{4}{10000}$

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 $0.0504=\frac{0}{10}+\frac{5}{100}+\frac{0}{1000}+\frac{4}{10000}=\frac{5}{100}+\frac{4}{10000}$