Math Number Properties

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that when you add 0 to any number, the result is that number. For example, 10 + 0 = 10.

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What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which you add numbers does not change the sum. For example, 3 + 5 = 5 + 3.

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that when you add 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 is the Identity Property of Subtraction?

Back

The Identity Property of Subtraction states that subtracting 0 from any number does not change the number. For example, 7 - 0 = 7.

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What is the Commutative Property of Subtraction?

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The Commutative Property does not apply to subtraction. For example, 5 - 3 is not the same as 3 - 5.

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What is the Associative Property of Subtraction?

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The Associative Property does not apply to subtraction. For example, (8 - 3) - 2 is not the same as 8 - (3 - 2).

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What is an example of the Identity Property of Addition?

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An example is 11 + 0 = 11.

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What is an example of the Commutative Property of Addition?

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An example is 4 + 6 = 6 + 4.

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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 the difference between the Commutative and Associative Properties?

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