Math 7 - Unit 2 Properties of Real Numbers (2024-25)

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What is the Inverse Property?

Back

The Inverse Property states that for every number a, there exists a number -a such that a + (-a) = 0 (for addition) and a × (1/a) = 1 (for multiplication).

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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 value of that number. For example, a + 0 = a.

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What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the value of that number. For example, a × 1 = a.

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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. For example, 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. For example, 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 numbers are grouped does not change their sum. For example, (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 numbers are grouped does not change their product. For example, (a × b) × c = a × (b × c).

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What is the Distributive Property?

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 an example of the Inverse Property of Addition?

Back

An example is 5 + (-5) = 0.

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What is an example of the Identity Property of Addition?

Back

An example is 7 + 0 = 7.