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# 6th Grade - Order of Operations with Integers

## 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 $÷$ 3

Solution: Follow PEMDAS to solve the given operation.

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

= 9 (7) + 9 $÷$ 3

Next: Multiply 9 (7) = 63

= 63 + 9 $÷$ 3

Then, Divide: 9 $÷$ 3 = 3

= 63 + 3

= 66

Eaxmple 2:  ${4}^{3}$+ 6 (2 $÷$ 2)

Solution: Follow PEMDAS to solve the given operation.

First, Solve the operation within the parentheses: .

Second, Simplify the exponent: .

Next, Multiply: 6(1) = 6

64 + 6

= 70

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

First, Solve the operation within the parentheses .

Second, Simplify the exponents

Third, Multiply 7 x 4 = 28

Next, Divide: