Properties

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What is the Associative Property?

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The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) or (a × b) × c = a × (b × c).

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What is the Commutative Property?

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

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What is the Identity Property?

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The Identity Property states that adding zero to a number does not change the number (a + 0 = a) and multiplying a number by one does not change the number (a × 1 = a).

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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 the Associative Property of Addition state?

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The Associative Property of Addition states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What does the Associative Property of Multiplication state?

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The Associative Property of Multiplication states that when multiplying three or more numbers, the way in which the numbers are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

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Provide an example of the Commutative Property of Addition.

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An example of the Commutative Property of Addition is: 5 + 7 = 7 + 5.

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Provide an example of the Commutative Property of Multiplication.

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An example of the Commutative Property of Multiplication is: 6 × 4 = 4 × 6.

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What is an example of the Identity Property of Addition?

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An example of the Identity Property of Addition is: 9 + 0 = 9.

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What is an example of the Identity Property of Multiplication?

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An example of the Identity Property of Multiplication is: 7 × 1 = 7.