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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 |
Acronyms to Help you Remember
( PEMDAS ) Please Excuse My Dear Aunt Sally
(Parenthesis), Exponents, Multiply, Divide, Add, Subtract)
(Parenthesis), Exponents, Multiply, Divide, Add, Subtract)
Order of operations
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
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
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:
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
3 + 35 / 1
3 + 35
The answer for the above problem is 38.
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