Properties of Real Numbers

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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, a × b = b × a.

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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 factors are grouped does not change the product. For example, (a × b) × c = a × (b × c).

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

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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 a, there exists a number -a such that a + (-a) = 0.

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What is the Multiplicative Inverse?

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The Multiplicative Inverse of a number a is 1/a, such that a × (1/a) = 1.

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, a × 1 = a.

Front

What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every number a (except 0), there exists a number 1/a such that a × (1/a) = 1.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. For example, (a + b) + c = a + (b + c).

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What is the property of Zero in Multiplication?

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The Multiplication Property of Zero states that any number multiplied by zero equals zero. For example, a × 0 = 0.