properties of operations

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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 when adding 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 the order in which two numbers are added does not change the sum. For example, 3 + 5 = 5 + 3.

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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 Inverse Property of Addition?

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The Inverse Property of Addition states that for every number, there is an additive inverse (or opposite) such that the sum is zero. For example, 5 + (-5) = 0.

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What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though they may look different. For example, 2 + 3 and 5 are equivalent.

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What does it mean for two expressions to be equivalent?

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Two expressions are equivalent if they yield the same result when evaluated. For example, 3(4 + 2) and 3*4 + 3*2 are equivalent.

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What is the result of 3 + 12?

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The result of 3 + 12 is 15.

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What is the result of 7(8 + 2) using the Distributive Property?

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Using the Distributive Property, 7(8 + 2) = 7*8 + 7*2 = 56 + 14 = 70.

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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 when multiplying does not change the product. For example, (2 * 3) * 4 = 2 * (3 * 4).

Front

What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, 4 * 5 = 5 * 4.