Question

What is the opposite and absolute of the integer -137?

Answer 1

• 137

Explanation:

The opposite of a negative integer is a positive integer.

The absolute value is the distance from the integer to zero. A negative integer of 137 is the same distance from zero as a positive integer of 137

Answer 2

Opposite of `(-137)` is `color(green)(+137)`
Absolute value of `(-137)` is `color(green)(137)`

Explanation:

The opposite (sometimes called the additive inverse) of a number is the amount that would need to be added to the number to get a sum of zero.
Since `(-137)+(color(green)(+137))=0`
`rarr color(green)(+137)` is the opposite of `(-137)`

The absolute value of a number is the distance of the number from zero without regard for the sign.
Since `(-137)` is `color(green)(137)` units away from `0`
the absolute value of `(-137)` is `color(green)(137)`

Note that for negative numbers the opposite and absolute values are identical.