Algebraic Properties

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What is the Commutative Property of Addition?

Back

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?

Back

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

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What is the Associative Property of Addition?

Back

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

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property of Multiplication?

Back

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

Tags

CCSS.3.OA.B.5

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What is the Addition Property of Zero?

Back

The Addition Property of Zero states that adding zero to any number does not change the value of that number. For example, a + 0 = a.

Tags

CCSS.7.EE.A.1

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What is the Multiplication Property of One?

Back

The Multiplication Property of One states that multiplying any number by one does not change the value of that number. For example, a × 1 = a.

Tags

CCSS.3.OA.B.5

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products.

Tags

CCSS.3.OA.B.5

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every 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 Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every non-zero number a, there exists a number 1/a such that a × (1/a) = 1.

Tags

CCSS.5.NBT.B.7

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that the sum of any number and zero is that number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3