Pd. 8 Properties of Arithmetic

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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, (2 + 3) + 4 = 2 + (3 + 4).

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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 + 5 = 5 + 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 numbers in a multiplication problem does not change the product. For example, 4 x 6 = 6 x 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 x 3) x 4 = 2 x (3 x 4).

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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 any number does not change the 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 multiplying any number by one does not change the number. For example, 7 x 1 = 7.

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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 number (except zero), there is a reciprocal that, when multiplied together, equals one. For example, a x (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. It allows you to multiply a number by a sum.

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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.