Core Connections: Course 2
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1. Section 4.1
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Exercise 6 Page 191

Practice makes perfect
Let's simplify the given expression!
8-13-(- 4)
- 5-(- 4)
- 5+4
- 1
We can see that subtracting a negative number is the same as adding its positive counterpart. Let's visualize this with a number line. We will start at 8 on the line. Since subtraction is shown on a number line by moving to the left, we will move 13 units to the left of 8.

Next, we move 4 units to the right of - 5 on the number line to represent adding 4 to the difference.

The final position after moving to the left and then to the right on the number line is the result of our expression. 8-13-(- 4)= - 1

Let's simplify the given expression!
4-(- 7)+(- 2)
4+7+(- 2)
11+(- 2)
11-2
9
We can see that subtracting a negative number is the same as adding its positive counterpart. Let's visualize this by first finding 4 on the number line and then moving 7 units to the right.

Next, we move 2 units to the left of 11 on the number line.

The final position after moving along the number line is the result of our expression. 4-(- 7)+(- 2)= 9

We want to simplify the final expression. Let's use the Commutative and Associative Properties of Addition to help us.
- 7+3-20
- 7-20+3
(- 7-20)+3
- 27+3
- 24
We can see that subtracting a positive number is the same as adding its negative counterpart. Let's visualize this by first finding - 7 on the number line and then moving 20 units to the left.

Now we move 3 units to the right of - 27 on the number line to show adding 3 to the difference.

The final position after moving along the number line is the result of our expression. - 7+3-20= - 24