Question

Which of the following correctly uses absolute value to show the distance between -80 and 15?

Select one:
a. |-80 - 15| = |-95| = -95 units
b. |-80 + 15| = |-65| = 65 units
c. |-80 - 15| = |-95| = 95 units
d. |-80 + 15| = |-65| = -65 units

Answer 1

`\large\boxed=95`

Explanation:

The formula of a distance between A and B:

`d=|B - A|=|A-B|`

The definition of an absolute value:

`|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for& a<0\end{array}\right`

Examples:

|3| = 3, |65| = 65

|-3| = -(-3) = 3, |-65| = -(-65) = 65, |-120| = 120

We have -80 and 15:

`|-80-15|=|-95|=95`