Properties of Addition and Multiplication

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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 in an addition problem does not change the sum. For example, 9 + (2 + 1) = (9 + 2) + 1.

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What is the Multiplicative Property of 0?

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The Multiplicative Property of 0 states that any number multiplied by 0 equals 0. For example, x • 0 = 0.

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What is the Additive Identity?

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The Additive Identity is the number 0, which means that adding 0 to any number does not change the value of that number. For example, x + 0 = x.

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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 in an addition problem does not change the sum. For example, 3 + a = a + 3.

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What is the Additive Inverse?

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The Additive Inverse of a number is the value that, when added to the original number, results in 0. For example, the additive inverse of 5 is -5.

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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 numbers in a multiplication problem does not change the product. For example, 4 • 5 = 5 • 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 in a multiplication problem does not change the product. For example, (2 • 3) • 4 = 2 • (3 • 4).

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What is the Multiplicative Identity?

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The Multiplicative Identity is the number 1, which means that multiplying any number by 1 does not change the value of that number. For example, x • 1 = x.

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What is the Distributive Property?

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The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

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What is the relationship between Addition and Subtraction?

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Subtraction is the inverse operation of addition. For example, if a + b = c, then c - b = a.