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?

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The Commutative Property states that the order in which two numbers are added or multiplied does not change the result. For addition: a + b = b + a; for multiplication: ab = ba.

Tags

CCSS.3.OA.B.5

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What is the Identity Property of Addition?

Back

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

Tags

CCSS.1.OA.B.3

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What is the Identity Property of Multiplication?

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

Tags

CCSS.3.OA.B.5

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What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For addition: (a + b) + c = a + (b + c); for multiplication: (ab)c = a(bc).

Tags

CCSS.7.NS.A.1D

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What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal. For example, if a = b, then a + c = b + c.

Tags

CCSS.HSA.REI.A.1

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What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal. For example, if a = b, then a - c = b - c.

Tags

CCSS.HSA.REI.A.1

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What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b, then ac = bc.

Tags

CCSS.HSA.REI.A.1

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What is the Division Property of Equality?

Back

The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b, then a/c = b/c.

Tags

CCSS.HSA.REI.A.1

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How do you combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Tags

CCSS.7.EE.A.1