Justify steps using properties

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What is the Additive Inverse Property?

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The Additive Inverse Property states that for any number a, there exists a number -a such that a + (-a) = 0.

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What does the Distributive Property state?

Back

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

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What is the Commutative Property of Addition?

Back

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?

Back

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?

Back

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?

Back

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?

Back

The Identity Property of Addition states that adding zero to any 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 any number by one does not change the number: a × 1 = a.

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What is the Subtraction Property of Equality?

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The Subtraction Property of Equality states that if two expressions are equal, subtracting the same value from both sides keeps them equal.

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What is the Division Property of Equality?

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The Division Property of Equality states that if two expressions are equal, dividing both sides by the same non-zero value keeps them equal.