Question

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

Answer 1

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:

$\left|-212-\left(-534\right)\right|$

Apply rule: -(-a) = a

$=\left|-212+534\right|$

$=\left|322\right|$

Apply absolute rule:   $\left|a\right|=a,\:a\ge 0$

$=322$

Therefore, we conclude that the distance between the two numbers on a number line will be: 322