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])