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

Answer:

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

Step-by-step 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.

Answer 2

Answer:

D is the  answer

Step-by-step 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