Question

|-9| = |9| true or false.

-(-21) = -21 true or false.
Which of the following statements best describes P on the number line shown? P is in the middle of -1 and 0.

Answer 1

Explanation:

1) -9 = 9 true/false

the answer is false because negative and positive quite unlike in terms.

2) -(-21) = -21

Using the symbols multiplication rule,

Where,

+ × + = +

- × - = +

- × + = -

+ × - = -

Therefore, -(-21) = +21 = 21

⟼ 21 = -21
`\sf true / \: \sout{false}`

Answer 2

`\text{\#1, True \;\;\;\;\;\;\;\;\;\;\; }` |-9| = |9|

The absolute value (the distance from 0) of -9 and 9:

`9 = 9`

This is true.

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`\text{\#2, False \;\;\;\;\;\;\;\;\;\;\;}` -(-21) = -21

Given:

-(-21) = -21

Negative times a negative is a positive:

21 ≠ -21

This is not true.

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To help you answer the last one about P on the number line, we will need more context.