6th Grade Math Properties

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What is the Associative Property?

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The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c).

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What is the Commutative Property?

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The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a.

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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, 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 when you multiply any number by one, the product is that number. For example, 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 for every number, there is an opposite number that, when added together, equals zero. For example, 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 for every non-zero number, there is a reciprocal that, when multiplied together, equals one. For example, a × (1/a) = 1.

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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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How does the Associative Property apply to multiplication?

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The Associative Property applies to multiplication in the same way as addition: (a × b) × c = a × (b × c).

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Provide an example of the Commutative Property in multiplication.

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An example of the Commutative Property in multiplication is: 3 × 4 = 4 × 3.

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What is the difference between the Commutative and Associative Properties?

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The Commutative Property deals with the order of numbers, while the Associative Property deals with the grouping of numbers.