Algebraic 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, (2 + 3) + 4 = 2 + (3 + 4).

Tags

CCSS.1.OA.B.3

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What is the equivalent expression to 4 + (8 + 9) using the Associative Property?

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(8 + 4) + 9.

Tags

CCSS.1.OA.B.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 number by a sum by distributing the multiplication over each addend.

Tags

CCSS.3.OA.B.5

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What does the Zero Property of Multiplication state?

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The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 9 * 0 = 0.

Tags

CCSS.3.OA.B.5

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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, 15 + 0 = 15.

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 the order in which numbers are added does not change the sum. For example, 3 + 5 = 5 + 3.

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which numbers are multiplied does not change the product. For example, 4 * 6 = 6 * 4.

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, (2 * 3) * 4 = 2 * (3 * 4).

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by one equals the number itself. For example, 7 * 1 = 7.

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, which simplifies to 12 + 15 = 27.

Tags

CCSS.3.OA.B.5