Properties of Real Numbers

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What is the Identity Property of Addition?

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The Identity Property of Addition states that when you add zero to any number, the result is that number. For example, 7 + 0 = 7.

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What is the Associative Property?

Back

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

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 5 + 1 = 1 + 5.

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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 in multiplication does not change their product. For example, (3 × 4) × 5 = 3 × (4 × 5).

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 2 × 3 = 3 × 2.

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What is the Zero Property of Multiplication?

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The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 8 × 0 = 0.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that any number multiplied by one equals that number. For example, 9 × 1 = 9.

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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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What does it mean to group terms in addition?

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Grouping terms in addition refers to the Associative Property, which allows you to add numbers in any grouping without changing the sum.

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What is an example of the Identity Property?

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An example of the Identity Property is: 0 + 5 = 5, where adding zero does not change the value.