Order of Operations

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What is the correct order of operations?

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Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

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CCSS.6.EE.A.1

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Back

First, perform the operation inside the parentheses: 7 + 41 = 48, then divide by 2, and finally subtract 15.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

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Back

Exponentiation (3^3) should be performed first.

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CCSS.7.EE.B.3

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The simplified result is 4.

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CCSS.7.NS.A.3

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Division is performed first.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What does PEMDAS stand for?

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PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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CCSS.6.EE.A.1

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Back

The value is 11, because you perform multiplication before addition.

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CCSS.7.NS.A.3

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First, simplify inside the parentheses: 3 + 1 = 4. Then, multiply: 2 × 4 = 8. Finally, subtract: 8 - 8 = 0.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

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Back

The result is 13, because you calculate the exponent first: 2^3 = 8, then add and subtract.

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CCSS.7.NS.A.3

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Back

The first step is to solve the expression inside the parentheses: 6 + 2 = 8.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2