Exercise 31 Page 201

Let's perform the addition.

- 3 + 7

Recall that adding a positive number is the same as subtracting its negative counterpart. Let's use a number line to help us visualize this process. We will start by finding

- 3

on the line and moving

7

units to the right since moving to the right on the number line represents addition.

Let's perform the addition.

7 + (- 8)

AddNeg

$a + (- b) = a - b$

7 - 8

SubTerm

Subtract term

- 1

Let's perform the subtraction.

- 6 - 9 = - 15

We can see that subtracting a number is the same as adding its negative counterpart. Let's visualize this by finding

- 6

on the number line and moving

9

units to the left to represent subtraction.

According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division. Finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!

We want to simplify the given expression. According to the order of operations, this means performing the multiplication before the subtraction.

We want to simplify the given expression. According to he order of operations, this means evaluating the expressions inside the parentheses completely before finding the product.

(- 7 + 3) (4 - 5 \cdot 2)

Subchapter links

4.2.1 Recognizing Proportional Relationships p.201

4.2.2 Proportional Relationships with Tables and Graphs p.205-206

4.2.3 Unit Rate and Proportional Equations p.211

4.2.4 Connecting Representations of Proportional Relationships p.214-216