Question

Which of the following has the greatest absolute value: $7,-31,21,-13?$

Answer 1

Let's find the absolute values of each of the given numbers:

Number	Absolute Value
$7$	$|7|=7$
$-31$	$|-31|=-1\times (-31)=31$
$21$	$|21|=21$
$-13$	$|-13|=-1\times (-13)=13$

As per the above table, $31>21>13>7\Rightarrow |-31|>|21|>|-13|>|7|$

Therefore, $\underset{–}{-31}$ has the greatest absolute value among the given numbers.