Answer:
We conclude that the distance between the two numbers on a number line will be: 322
Step-by-step explanation:
Given the numbers
-212
-534
There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.
But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.
so
Distance between the numbers:
[tex]\left|-212-\left(-534\right)\right|[/tex]
Apply rule: -(-a) = a
[tex]=\left|-212+534\right|[/tex]
[tex]=\left|322\right|[/tex]
Apply absolute rule: [tex]\left|a\right|=a,\:a\ge 0[/tex]
[tex]=322[/tex]
Therefore, we conclude that the distance between the two numbers on a number line will be: 322
