Using Properties to Simplify Expressions

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What is the Additive Inverse property?

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The Additive Inverse property states that for any number a, there exists a number -a such that a + (-a) = 0.

Tags

CCSS.7.NS.A.1B

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Tags

CCSS.1.OA.B.3

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a × b = b × a.

Tags

CCSS.3.OA.B.5

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change their product. For example, (a × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that any number multiplied by 1 is the number itself. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

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What is the Additive Identity Property?

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The Additive Identity Property states that any number plus 0 is the number itself. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3

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Back

Tags

CCSS.6.EE.A.3

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

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What is the purpose of simplifying expressions?

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Simplifying expressions makes them easier to work with and understand, allowing for quicker calculations and clearer communication of mathematical ideas.

Tags

CCSS.7.EE.A.1