Question

Write the decimal number $4.505$ in the expanded form .

Answer 1

Expanded Form of Decimals :

• Just like whole numbers , decimals can also be expressed in the expanded form.
• The expanded form of the numbers helps to determine the place value of each digit in the given number .

Thus , the decimal expansion of the decimal number $4.505$ is shown below :

$$\begin{gathered} 4.505=4+\frac{5}{10}+\frac{0}{100}+\frac{5}{1000} \\ =4\mathrm{ones}+5\mathrm{tenths}+0\mathrm{hundredths}+5\mathrm{thousandths} \\ =4+0.5+0.005 \end{gathered}$$

Hence, $4.505=4+0.5+0.005$