Order of Operations with Fractions and Decimals

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What is the Order of Operations?

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The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The order is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

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CCSS.7.NS.A.3

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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). It is a mnemonic to remember the order of operations.

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CCSS.7.EE.B.3

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How do you add fractions?

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To add fractions, make sure they have a common denominator. Then, add the numerators and keep the denominator the same. Simplify if necessary.

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CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

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What is a common denominator?

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A common denominator is a shared multiple of the denominators of two or more fractions. It allows for the addition or subtraction of fractions.

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How do you multiply decimals?

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To multiply decimals, multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in both numbers and place the decimal point in the product accordingly.

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CCSS.6.NS.B.3

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CCSS.5.NBT.B.7

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CCSS.6.NS.B.3

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How do you divide a number by a fraction?

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CCSS.5.OA.A.2

CCSS.5.OA.A.1

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CCSS.7.NS.A.3