Math Properties

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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 when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

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What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Tags

CCSS.3.OA.B.5

Front

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

Front

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

Front

What is the Identity Property of Addition?

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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

Front

What is the Identity Property of Multiplication?

Back

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

Front

What is an example of the Distributive Property?

Back

An example of the Distributive Property is: 3(4 + 5) = 3×4 + 3×5 = 12 + 15 = 27.

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 when multiplying does not change the product. For example, (a × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

Front

What is the difference between the Commutative and Associative Properties?

Back

The Commutative Property involves changing the order of numbers, while the Associative Property involves changing the grouping of numbers.

Tags

CCSS.3.OA.B.5

Front

What is the Distributive Property used for?

Back

The Distributive Property is used to simplify expressions and solve equations by distributing a multiplier across terms inside parentheses.

Tags

CCSS.6.EE.A.3