Properties of Addition

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What is the Associative Property of Addition?

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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 is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the numbers being added does not change the sum. For example, 4 + 5 = 5 + 4.

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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 sum is that number. For example, 7 + 0 = 7.

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Is 0 + 5 = 5 an example of the Identity Property of Addition?

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Yes, it is an example of the Identity Property of Addition.

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Is 3 + (4 + 5) = (3 + 4) + 5 an example of the Associative Property of Addition?

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Yes, it is an example of the Associative Property of Addition.

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Is 60 + 40 = 40 + 60 an example of the Commutative Property of Addition?

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Yes, it is an example of the Commutative Property of Addition.

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What does it mean if an equation is true for all numbers?

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It means that the property being demonstrated (like Commutative or Associative) holds true regardless of the numbers used.

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If 0 - 2 = 2 is stated as a Property of Addition, is it true or false?

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False, it is not an example of a Property of Addition.

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What is an example of the Commutative Property of Addition?

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An example is 8 + 3 = 3 + 8.

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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).