Question

Question #e41c3

Answer 1

Two different numbers can have the same absolute value if one number is the negative of the other. If a number is written in the absolute form, both values must be considered.

Explanation:

\The absolute value of a number is the integer or digit by itself, with no signs to indicate if it is positive or negative, or where it lies on a number line, other than the value of the integer.

Example: `7=+7!=-7`

In this example, if we have a value of `7` and if we put a `+` sign in front of it, we still have a value of `7`, but if we put a `-` sign in front, we have a different value.

Changing the sign has moved the integer from the positive `7` position on the number line to the other side of the zero line, all the way back to `-7`.

In both cases, the absolute value has not changed, it is still `7`.

The absolute value of `7` is written as `|7|`, and:

`|7|=7 and |-7|=7`

They show the number lines here:
http://www.eduplace.com/math/mathsteps/7/b/