Properties of Algebra

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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, 5 + 0 = 5.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that when you multiply any number by one, the product is that number. For example, 7 x 1 = 7.

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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, 3 + 4 = 4 + 3.

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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 x 5 = 5 x 2.

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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 does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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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 does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the Inverse Operation of Addition?

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The Inverse Operation of Addition is subtraction. For example, if you have 5 + x = 10, then x = 10 - 5.

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What is the Inverse Operation of Multiplication?

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The Inverse Operation of Multiplication is division. For example, if you have 6 x y = 24, then y = 24 ÷ 6.

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that for every number, there is an opposite number that, when added together, equals zero. For example, 5 + (-5) = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every number, there is a reciprocal that, when multiplied together, equals one. For example, 4 x (1/4) = 1.