Order of Operations

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Order of Operations : 

Order of Operations How to solve equations like: 3 + (4 * 5) / 2

Slide 2: 

Please Excuse My Dear Aunt Sally Order of Operations

Slide 3: 

Please Parentheses Excuse Exponents My Dear Mulitiplication and Division from left to right Aunt Sally Add and Subtract from left to right

Slide 4: 

Please Parentheses 3 + (4 * 5) / 2 The 4 * 5 is in parentheses, so this gets done first. 4 * 5 = 20 Our equation simplifies to 3 + 20 / 2 Solving 3 + (4 * 5) / 2

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Excuse Exponents There are no exponents, so we go on. Solving 3 + (4 * 5) / 2 3 + 20 / 2

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My Dear Mulitiplication and Division from left to right 20 / 2 = 10 Our equation simplifies to 3 + 10 Solving 3 + (4 * 5) / 2 3 + 20 / 2

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Aunt Sally Add and Subtract from left to right 3 + 10 13 Solving 3 + (4 * 5) / 2 3 + 20 / 2 3 + 10

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Solving 3 + (4 * 5) / 2 3 + 20 / 2 3 + 10 13 13 is the final answer!

Use the order of operations to solve: : 

Use the order of operations to solve: 10 + 32 * (8 – 3) + 7

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Please Parentheses 8 – 3 = 5 Our equation simplifies to 10 + 32 * 5 + 7 Solving 10 + 32 * (8 – 3) + 7

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Excuse Exponents 32 = 9 Our equation simplifies to 10 + 9 * 5 + 7 Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7

Slide 12: 

My Dear Mulitiplication and Division from left to right 9 * 5 = 45 Our equation simplifies to 10 + 45 + 7 Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 10 + 9 * 5 + 7

Slide 13: 

Aunt Sally Add and Subtract from left to right 10 + 45 + 7 62 Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 10 + 45 + 7

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Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 10 + 45 + 7 62 62 is the final answer!

Slide 15: 

Please Excuse My Dear Aunt Sally Solve the following equations. Remember to use: 5 * 2 + 9 – 20 / 5 62 / 4 – (3 * 3) 2 + (20 – 15)2

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