Question

Match each expression on the left with its simplified form on the right.

Answer 1

Step-by-step explanation:

We are given numbers in the absolute form with negative signs in different positions.

First of all, we should note the absolute rule, which is;

`\begin{gathered} |x|=x\text{ where }x>0 \\ Similarly: \\ |-x|=x\text{ where }x>0 \end{gathered}`

Therefore, for the values given, we can simplify as follows;

`-(-6)=6`

This is because negative times negative results in a positive value.

We can now proceed to the second;

`|-6|=6`

For the third one;

`-|6|=-6`

This is because the value in the absolute value symbol will remain positive, BUT the negative sign outside the symbol would eventually remain.

Note that the absolute value strictly applies to numbers confined within the symbol.

For the fourth one;

`|6|=6`

For the fifth one;

`-|-6|=-6`

ANSWER:

`\begin{gathered} (1)6 \\ (2)6 \\ (3)-6 \\ (4)6 \\ (5)-6 \end{gathered}`