Order of operations

Order of operations

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by Dr. Dana Philogene-Victor

Multiple Choice

Which is the first step, when using PEMDAS?

• Multiply

• Add

• Parentheses

• Exponent

​Parentheses

​When solving problems using order of operations you start with:

​PARENTHESES

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​(4x5)+3x3-5²

​Step 1 (4x5=20)+3x3-5²

​Step 2 20+3x3-5²

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Step 1: Solve the problems in the parentheses. What is 4x5? 20!

​Step 2: Bring down the equation with 20 in place of the parentheses!

​Exponent

​Once you are finished with parentheses, the next step is to solve any exponents. Remember exponents look like this x² .

​

20+3x3-5²

​Step 3- 20+3x3-5² (5² =5x5=25)

​Step 4- 20+3x3-25

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Step 3- Solve the exponent. What is 5² or 5x5? 25! Step 4- Bring everything down.

​Multiply/Divide

​When you are solving a problem using order of operations, multiplication and division is done in a particular order. You solve, whichever comes first, from LEFT to RIGHT.

​20+3x3-25

​Step 5- 3x3=9

​Step 6-20+9-25

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Step 5- Multiply- what is 3x3? 9! Step 6- Bring down.

​Add/Subtract

​When you are left with addition and subtraction, it is important for you to remember to solve it from LEFT to RIGHT.

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​20+9-25

​Step 7- 20+9=29

​Step 8- 29-25

​Step 9- 29-25=4

​Step 10- 4

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​Step 7 allows you to solve the addition portion. Step 8- bring down. Step 9 allows you to subtract. Step 10- write your final answer.

Multiple Choice

Evaluate.

(2x1)+6-4+2²

• 25

• 18

• -8

• 8

​Frequently Asked Questions?

​1. Can I Add before I multiply? NO, you have to follow the order- parentheses, exponents, multiply/divide, add/subtract.

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​2. Where can I see a video for additional practice? I love Math Antics! You can try searching Math Antics-Order of Operations on YouTube.

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​3. I still can't get it, why can't I get it? Practice makes perfect! Do not give up, keep practicing and ask for help when needed. YOU GOT THIS!