Q:

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?

Accepted Solution

A:
Answer: Absolute value expression: [tex]|-2-4|[/tex] Expression evaluated: [tex]|-2-4|=|-6|=6[/tex]Step-by-step 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: [tex]|a-b|[/tex] In this case, given the number [tex]-2[/tex] and the number [tex]4[/tex], you can write the following expression to represent the distance between them on a number line: [tex]|-2-4|[/tex] To evaluate it, you need to follow these steps: 1. You must subtract the numbers:[tex]=|-6|[/tex] 2. Finally, take the absolute value of the difference: [tex]=6[/tex] Β  (This is the distance between [tex]-2[/tex] and [tex]4[/tex])