Properties of Addition and Multiplication

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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 in an addition problem does not change the sum. For example, 12 + (3 + 4) = (12 + 3) + 4.

Tags

CCSS.1.OA.B.3

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What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the numbers in an addition problem does not change the sum. For example, 4 + -3 = -3 + 4.

Tags

CCSS.7.NS.A.1D

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What is the Distributive Property?

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The Distributive Property states that a number multiplied by a sum is equal to the sum of the products. For example, 2(5 + 4) = (2 x 5) + (2 x 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 in a multiplication problem does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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 numbers in a multiplication problem does not change the product. For example, 3 x 4 = 4 x 3.

Tags

CCSS.3.OA.B.5

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What is the Additive Identity?

Back

The Additive Identity is the number 0, because adding 0 to any number does not change the value of that number. For example, 5 + 0 = 5.

Tags

CCSS.7.NS.A.1B

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What is the Additive Inverse?

Back

The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 3 is -3, because 3 + (-3) = 0.

Tags

CCSS.7.NS.A.1B

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What is the Multiplicative Identity?

Back

The Multiplicative Identity is the number 1, because multiplying any number by 1 does not change the value of that number. For example, 7 x 1 = 7.

Tags

CCSS.3.OA.B.5

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number is the value that, when multiplied by the original number, results in one. For example, the multiplicative inverse of 4 is 1/4, because 4 x (1/4) = 1.

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What does the Commutative Property of Multiplication state?

Back

The Commutative Property of Multiplication states that the order of the numbers in a multiplication equation does not change the product. For example, 2 x 3 = 3 x 2.

Tags

CCSS.3.OA.B.5