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?

Respuesta :

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]   (This is the distance between [tex]-2[/tex] and [tex]4[/tex])