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order of operation
Do operations in Parentheses () and other grouping symbols first. If there are grouping symbols within other grouping symbols do the innermost first. Then do exponents: x Then do Multiplication and Division operations from left to right. Last do Addition and Subtraction operations from left to right
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Acronyms to Help you Remember
( PEMDAS ) Please Excuse My Dear Aunt Sally
(Parenthesis), Exponents, Multiply, Divide, Add, Subtract)
Order of operations
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
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from: Doina Popovici
1. 18 ÷ 9 + 32 1. 11
2. 6 ÷ 2 +1⋅4 2. 7
3. 18 − 23 + 3⋅ 4 3. 22
4. (8 + 4 + 3)÷ 3 − 2 4. 3
5. (8 + 4 + 5)÷(3 − 2) 5. 17
6. 10 ÷ 5 − 22 ÷ 2 6. 0
7. 40 + 24 ÷ 8 − 3 +1 7. 41
8. (40 + 24)÷ 8 −(3 +1) 8. 4
9. (27 +18)÷ 9 −(3 +1) 9. 1
Simplify each expression by using the order of operations.
Answers
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Math.ATube.com
order of operations
example problem: 3 + 5 * 7 / (8 - 7)
In this case, you need to do the 8 - 7 first since it’s in parentheses, then the 5 * 7, and
the result should be divided by the 1 from the parentheses operation then add to the
three. So it goes like this:
3 + 5 * 7 / 1
3 + 35 / 1
3 + 35
The answer for the above problem is 38.
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