Exercise 10 Page 32

First, we can recall that the distance between any two numbers on a number line is the absolute value of the difference of the two numbers.

We can use this information to find the distance between - 7.5 and - 15.3. Remember that subtracting a number is the same as adding its opposite.

|- 7.5-(- 15.3)|

SubNeg

a-(- b)=a+b

|- 7.5+15.3|

AddTerms

Add terms

|7.8|

AbsPos

|7.8|=7.8

7.8

Now, we can mark the distance between - 7.5 and - 15.3 on the number line. Let's start by marking both numbers on the number line!

Next, we can mark the distance between the two numbers.

We can see that the distance between - 7.5 and - 15.3 is 7.8 units.