Question

which of the following expression does the given number line represent​

Answer 1

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

Explanation:

Complete statement:

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:

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) |

Now solving the expression;

d = |5 + 4 |

d = 9

Thus the expression represents the distances between -4 and 5 on the number line is d = | 5 - (-4) |.