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

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (4 + 5) + 3 = 4 + (5 + 3).

Front

What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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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 another number that, when added together, equals zero. For example, 5 + (-5) = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every number, there is another number that, when multiplied together, equals one. For example, 4 x (1/4) = 1.

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, 2 + 3 = 3 + 2.

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What is an example of the Distributive Property?

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An example of the Distributive Property is 3(4 + 5) = 3(4) + 3(5).

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What does it mean when we say 'the order does not matter' in operations?

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It means that in certain properties like Commutative Property, changing the order of numbers does not affect the result.

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What is the difference between the Associative and Commutative Properties?

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