Chapter 13.2, Problem 40SR

To determine

To find: the measurement of two points $AE$ using number line.

Answer to Problem 40SR

The measurement of $AE=10.$

Explanation of Solution

Given:

  

The coordinates of  $A$ and  $E$ are $-6$ and  $4$ .

Concept used:

Distance should be put in modulus since, distance cannot be negative.

Difference in the coordinate is:

$\text{higher value-lower value}$ .

Calculation:

The coordinates of  $A$ and  $E$ are $-6$ and  $4$ .

Distance of the coordinate can be calculated as:

  $\text{higher value-lower value}$ and distance should be put in modulus since, distance cannot be negative.

  $AE=\left|4-\left(-6\right)\right|=10.$

Hence, the measurement of $AE=10.$