Mathematical Properties

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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 in an addition problem does not change the sum. 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 the order in which two numbers are added does not change the sum. For example, 3 + 5 = 5 + 3.

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What is the Additive Identity?

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The Additive Identity is the number 0, because adding 0 to any number does not change the value of that number. For example, 7 + 0 = 7.

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What is the Additive Inverse?

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The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5, because 5 + (-5) = 0.

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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 a multiplication problem does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, 4 × 6 = 6 × 4.

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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 1 remains unchanged. For example, 9 × 1 = 9.

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What is an example of the Associative Property of Addition?

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An example is: 1 + (2 + 3) = (1 + 2) + 3.

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What is an example of the Commutative Property of Addition?

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An example is: 8 + 4 = 4 + 8.

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What is an example of the Additive Identity?

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An example is: 10 + 0 = 10.