Answer-
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)
[tex]\left |larger\ number-smaller\ number \right|[/tex]
[tex]=\left |2-(-5)\right |[/tex]
[tex]=\left |2+5 \right|= 7[/tex]
[tex]\left | smaller\ number -larger\ number \right|[/tex]
[tex]=\left |(-5)-2 \right|[/tex]
[tex]=\left |-5-2 \right|=\left |-7 \right|=7[/tex]
Therefore, it can be proved the order doesn't matter if we take the difference in absolute value.