Equivalent Expressions Using Math Properties

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What is an equivalent expression?

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An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

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What does the Distributive Property state?

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

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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. (a + b = b + a)

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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. (a × b = b × a)

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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 their sum. (a + (b + c) = (a + b) + c)

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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 their product. (a × (b × c) = (a × b) × c)

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to a number does not change the number. (a + 0 = a)

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that multiplying a number by one does not change the number. (a × 1 = a)

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that a number plus its opposite equals zero. (a + (-a) = 0)

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that a number multiplied by its reciprocal equals one. (a × (1/a) = 1, where a ≠ 0)