Order of Operations

• ​Expression - representation of a quanitiy. Has no equal sign

• ​Operations - Add, subtract, multiply, divide

• Grouping symbols - parenthesis and brackets

• Simplify - means to solve

• Evaluate - means to solve

• ​The order of operations is the way to simplify expressions by performing operations in a specific order

1. ​Solve anything inside of grouping symbols ( ) { } these are parenthesis and brackets

2. Solve for exponents

3. ​Going from left to right solve any multiplication and division, which ever comes first

4. ​Going from left to right solve any addition or subtraction, which ever comes first.

​ Let's take a look at this following expression.

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​Try to solve it yourself.

​If you solve WITHOUT the order of operations, you would add and then multiply.

3 + 8 x 2

​11 x 2

​22

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​If you solve WITH the order of operations you would multiply and then add.

​3 + 8 x 2

​3 + 16

​19

​Simplify 4 + 3 x (2 - 4)

​Step 1: Are there parenthesis? Solve what is inside. 4 + 3 x (2 - 4)

​Step 2: What's next? Is there multiplication or division? 4 + 3 x 2

​Step 3: What's next? Is there additon or subtraction? 4 + 6

​Step 4: What is your answer? 10