Question

Write and simplify an absolute value expression to find the distance between –3 and 8 on a number line A. −|−3 − 8| = –11 B. −|−3 + 8| = –5 C. |−3 + 8| = 5 D. |−3 − 8| = 11

Answer 1

D. |−3 − 8| = 11

Explanation:

We have to simplify an absolute value expression to find the distance between -3 and 8 on a number line.

Firstly, as we know that the absolute value means any number inside the mod (whether positive or negative) will come out as a positive value only, that means;

The absolute value of -6 =
`|-6|` = 6

The absolute value of 6 =
`|6|` = 6

Now, the distance between the numbers -3 and 8 on the number line will be the difference of two numbers inside the mod, that means;

Distance =
`|-3-8|` =
`|-11|`

As the number inside the mod comes out as a positive value only, so the distance = 11.

Hence, the distance between –3 and 8 on a number line is 11.