Question

Choose all of the expressions that are equal to -9.

Answer 1

Answer:

$-|9|$   and $-|-9|$

Step-by-step explanation:

Given

Expression = -9

Required

Select all equivalent expressions

To do that, we examine each of the options.

First Option

$-|9|$

This can be rewritten as

$-|9| = -1 * |9|$

$|9| = 9$

So, the expression becomes

$-|9| = -1 * 9$

$-|9| = -9$

Hence, |-9| is equivalent to -9

Second Option

$|-9|$

$|-9| = 9$

So, the expression is not equivalent to -9

Third Option

$-|-9|$

This can be rewritten as

$-|-9| = -1 * |-9|$

$|-9| = 9$

So, the expression becomes

$-|-9| = -1 * 9$

$-|-9| = 9$

Hence, -|-9| is equivalent to -9

Fourth Option

$-(-9)$

This can be rewritten as

$-(-9) = -1 *(-9)$

$-(-9) = -1 *-9$

$-(-9) = 9$

Hence, -(-9) is not equivalent to -9

Fifth Option

The distance from 0 to 9

This is calculated as thus;

$Difference = 9 - 0$

$Difference = 9$

Hence, the difference from 0 to 9 is not equivalent to -9