Question

Write the expanded form of the decimal number $8.063$.

Answer 1

Step 1: The Place value chart for the decimal number.

Hundreds	Tens	Ones	$.$	Tenths	Hundredths	Thousandths
$100$	$10$	$1$	$.$	$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$10$}\right.$	$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$100$}\right.$	$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$1000$}\right.$
		$8$	$.$	$0$	$6$	$3$

Step 2: The expanded form of the decimal number.

$8.063=\left(8\times 1\right)+\left(0\times \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$10$}\right.\right)+\left(6\times \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$100$}\right.\right)+\left(3\times \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$1000$}\right.\right)$

$=$ $8$ $+$ $0$ $+$ $\raisebox{1ex}{$6$}\!\left/ \!\raisebox{-1ex}{$100$}\right.$ $+$ $\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$1000$}\right.$

Therefore, $8.063$ in the expanded form is $8+0+\raisebox{1ex}{$6$}\!\left/ \!\raisebox{-1ex}{$100+{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$1000$}\right.}$}\right.$