Properties of Operations

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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, 5 x 6 = 6 x 5.

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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, (4 + 5) + 6 = 4 + (5 + 6).

Front

What does the Commutative Property state?

Back

The Commutative Property states that the order of addition or multiplication does not affect the sum or product. For example, a + b = b + a.

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, (1 x 5) x 6 = 1 x (5 x 6).

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What is the Distributive Property?

Back

The Distributive Property states that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products. For example, 4(5 + 6) = 4(5) + 4(6).

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that for every number, there is an opposite number (additive inverse) that, when added together, equals zero. For example, 5 + (-5) = 0.

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What is an example of the Commutative Property of Addition?

Back

An example of the Commutative Property of Addition is 3 + 4 = 4 + 3.

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What is an example of the Associative Property of Multiplication?

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An example of the Associative Property of Multiplication is (2 x 3) x 4 = 2 x (3 x 4).

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What is the difference between the Commutative and Associative Properties?

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The Commutative Property deals with the order of numbers, while the Associative Property deals with the grouping of numbers.

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What is the Distributive Property used for?

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