## Introduction to Order of Operations

- When solving a math expression, you use the order of operations as a rule to perform the sequence of steps to solve a math equation. Use these steps to solve equations from left to right.

The best way to remember the sequence of the order of operations is to memorize PEMDAS or a phrase that helps remember the acronym, such as:

**"P**-please **E-**excuse **M**-my **D**-dear **A**-aunt **S**-Sasha"

Each letter in this phrase stands for the operation you use in sequence to solve the equation:

**P-** "Parentheses" Perform the operation in the parentheses "()" first.

**E-** "Exponents" Next, solve the exponents. If the problem has a number with exponents, simplify the exponents.

**M & D -** "Multiplication and Division" should be solved after exponents. Solve multiplication and/or division in the problem from left to right, whichever comes first.

**A & S - "**Addition and Subtraction" should be solved last. Solve addition and/or subtraction in the problem from left to right, whichever comes first.

## Examples

Example 1: 9(3 + 4) + 9 $\xf7$ 3

Solution: Follow PEMDAS to solve the given operation.

First: Solve the operation within the parentheses: (3 + 4) = 7

= 9 (7) + 9 $\xf7$ 3

Next: Multiply 9 (7) = 63

= 63 + 9 $\xf7$ 3

Then, Divide: 9 $\xf7$ 3 = 3

= 63 + 3

Finally, Add: 63 + 3

= 66

Eaxmple 2: ${4}^{3}$+ 6 (2 $\xf7$ 2)

Solution: Follow PEMDAS to solve the given operation.

First, Solve the operation within the parentheses: $\left(2\xf72\right)=1$.

${4}^{3}+6\left(1\right)$

Second, Simplify the exponent: ${4}^{3}=4\times 4\times 4=64$.

$64+6\left(1\right)$

Next, Multiply: 6(1) = 6

64 + 6

Finally, Add: 64 + 6

= 70

Example 3: ${6}^{2}$ + 7( 4 x 1) - 7 $\xf7$7

First, Solve the operation within the parentheses $\left(4\times 1\right)=4$.

${6}^{2}+7\left(4\right)-7\xf77$

Second, Simplify the exponents ${6}^{2}=6\times 6=36$

$36+7\left(4\right)-7\xf77$

Third, Multiply 7 x 4 = 28

$36+28-7\xf77$

Next, Divide: $7\xf77=1$

$36+28-1$

Then, Add: $36+28=64$

$64-1$

Finally: Subtract: $64-1$

= 63

## Order of operations cheat sheet

- Follow PEMDAS for solving equations.
- Always work from left to right while solving equations.

- Selene Clare
- 10 Comments
- 57 Likes