Question

which of the following expressions represents the distances between -4 and 5 on the number line? A.|-4+5| B.|4-5| C.|-5-(-4)| D.|-4-5|

Answer 1

D is the answer

Explanation:

|-4-5|=|-9|=9

the distance between -4 and 0 is 4 .....and between 0 and 5 is 5

so the distance will be 4+5=9

Answer 2

Option C -
`|5-(-4)|`

Explanation:

To find : Which of the following expressions represents the distances between -4 and 5 on the number line?

Solution :

According to number line,

<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->

-∞ -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +∞

The distance between -4 and 5 is given by,

`d=|5-(-4)|`

Solving the expression,

`d=|5+4|`

`d=|9|`

`d=9`

Therefore, The expression represents the distances between -4 and 5 on the number line is
`d=|5-(-4)|`

So, Option C is correct.