Math Properties

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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, 6 + 4 = 4 + 6.

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What is an example of the Commutative Property of Multiplication?

Back

An example of the Commutative Property of Multiplication is 3 × 5 = 5 × 3.

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What does the Associative Property state about addition?

Back

The Associative Property states that the way in which numbers are grouped in addition does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What does the Associative Property state about multiplication?

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

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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 individual products. For example, a(b + c) = ab + ac.

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How can you verify if two expressions are equivalent using the Commutative Property?

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You can verify if two expressions are equivalent by rearranging the terms using the Commutative Property. For example, 6 + 3 and 3 + 6 are equivalent.

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What is the significance of parentheses in the Associative Property?

Back

In the Associative Property, parentheses indicate how numbers are grouped, and changing the grouping does not affect the result.

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Can the Distributive Property be used with subtraction?

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Yes, the Distributive Property can also be applied to subtraction. For example, a(b - c) = ab - ac.

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What is an example of using the Distributive Property with numbers?

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An example is 2(3 + 4) = 2 × 3 + 2 × 4, which simplifies to 14.

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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, a + 0 = a.