Question

Write the given decimal number in expanded form:-

$49.831$

Answer 1

The given number is $49.831$

using the place value table

Thousands	Hundreds	Tens	Ones	Tenths	Hundredths	Thousandths
$\left(1000\right)$	$\left(100\right)$	$\left(10\right)$	$\left(1\right)$	$\left(\frac{1}{10}\right)$	$\left(\frac{1}{100}\right)$	$\left(\frac{1}{1000}\right)$
		$4$	$9$	$8$	$3$	$1$

Hence, the expanded form is-

$\begin{array}{rcl}49.831& =& 4\times 10+9\times 1+8\times \left(\frac{1}{10}\right)+3\times \left(\frac{1}{100}\right)+1\times \left(\frac{1}{1000}\right)\\ & =& 40+9+\frac{8}{10}+\frac{3}{100}+\frac{1}{1000}\end{array}$