Intro to Proofs - Properties of Equality

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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 number by a sum by distributing the multiplication over each addend.

Tags

CCSS.3.OA.B.5

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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 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

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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 does not change their sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if a = b, then a + c = b + c for any number c.

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What is the Subtraction Property of Equality?

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The Subtraction Property of Equality states that if a = b, then a - c = b - c for any number c.

Tags

CCSS.HSA.REI.A.1

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What is the Multiplication Property of Equality?

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The Multiplication Property of Equality states that if a = b, then ac = bc for any number c.

Tags

CCSS.HSA.REI.A.1

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What is the Division Property of Equality?

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The Division Property of Equality states that if a = b and c ≠ 0, then a/c = b/c.

Tags

CCSS.HSA.REI.A.1

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What is the Reflexive Property?

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The Reflexive Property states that any quantity is equal to itself. For example, m∠1 = m∠1.

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What is the Symmetric Property?

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The Symmetric Property states that if a = b, then b = a.

Tags

CCSS.7.EE.A.1