**order of operations**is as follows.

An easy way to remember the order of operations is **P**lease **E**xcuse **M**y **D**ear **A**unt **S**ally ( **P**arentheses, **E**xponents, **M**ultiplication/ **D**ivision, **A**ddition/ **S**ubtraction).

##### Example 1

Simplify each of the following.

1. 16 + 4 × 3

2. 10 – 3 × 6 + 10

^{2}+ (6 + 1) × 4

1. First, the multiplication,

16 + 4 × 3 = 16 + 12

Then, the addition,

16 + 12 = 28

2. First, the parentheses,

10 – 3 × 6 + 10

^{2}+ (6 + 1) × 4 = 10 – 3 × 6 + 10^{2}+ (7) × 4Then, the exponents,

10

^{2}= 10 × 10 = 100,so 10 – 3 × 6 + 10

^{2}+ (7) × 4 = 10 – 3 × 6 + 100 + (7) × 4Then, multiplication,

10 – 3 × 6 + 100 + (7) × 4 = 10 – 18 + 100 + 28

Then, addition and subtraction left to right,