# Types of Numbers

# Order of Operations Exercises

### Example 1

Joe was asked by a stranger to find the answer to the arithmetic problem:

8 + 5 × 2

Joe wrote the following:

8 + 5 × 2 = 13 × 2 = 26

What did Joe do wrong (other than talking to a stranger, of course)? What *should* the answer be?

### Example 2

Beth was asked to find 4 - (3-5)^{2}. Beth wrote the following:

4 - (-2)^{2} = 4 - (-4) = 8

What did Beth do wrong? What *should* the answer be?

### Example 3

Evaluate.

### Example 4

Evaluate.

### Example 5

Evaluate.

### Example 6

Evaluate.

(3 + 2 - 1)^{3} - (-7 + 3)^{2} × 8