Question

Method B: Take the absolute value of the difference of the two numbers.

When taking the absolute value, show the larger number first, then show the lesser number first when finding the difference.

Method B: Take the absolute value of the difference of the two numbers. (2 pts)

|larger number – smaller number| |smaller number – larger number|

Answer 1

The absolute value of the difference of the two numbers was found to be 7.

Solution-

The given two numbers are, 2 and -5.

Between these two number,

larger number = 2

smaller number = -5

(∵ As 2 is right of -5 on the number line)

`\left |larger\ number-smaller\ number \right|`

`=\left |2-(-5)\right |`

`=\left |2+5 \right|= 7`

`\left | smaller\ number -larger\ number \right|`

`=\left |(-5)-2 \right|`

`=\left |-5-2 \right|=\left |-7 \right|=7`

Therefore, it can be proved the order doesn't matter if we take the difference in absolute value.