Question

Which expression shows the distance you would drive from the gym to the office along this road?

a.|-6 + 4|
b.|-6|+|4|
c.-6+4
d.-|6|+|4|

Answer 1

that would be B
|-6| + |4| = 6 + 4 = 10

Answer 2

b.

Explanation:

To fin the distance between two points in a number line we do the absolute value of the points subtracted. That is, if we need to find the distance between the point a and the point b in a number line we do |a-b|. Now, the Gym is in the point -6 in the number line and the office is in the point 4 in the number line, then the distance from -6 to 4 is |-6-4| = |-10| = 10.

Now, the option a is |-6+4| ≠ |-6-4|.

The option b is |-6|+|4| = 6+4 = 10 =|-6-4|. Then, the option b is correct.

The option c is -6+4 ≠ |-6-4|.

The option d is -|6|+|4| = -6+4 ≠ |-6-4|.

Then, the answer is b.