Question

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

the opposite of nine
-191
1-91
-1-91
-(-9)
the distance from zero to nine

Answer 1

`-|9|` and
`-|-9|`

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