Question

Write an absolute value expression to represent the distance between -2 and 4 on a number line. Then evaluate the expression. Can someone help me please?

Answer 1

Absolute value expression:
`|-2-4|`

Expression evaluated:
`|-2-4|=|-6|=6`

Explanation:

Let be "a" and "b" two Real Numbers.

The distance between these two numbers on a number line, can be found with the following expression:

`|a-b|`

In this case, given the number
`-2` and the number
`4`, you can write the following expression to represent the distance between them on a number line:

`|-2-4|`

To evaluate it, you need to follow these steps:

1. You must subtract the numbers:

`=|-6|`

2. Finally, take the absolute value of the difference:

`=6` (This is the distance between
`-2` and
`4`)