Identifying Math Properties

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that when you add zero to any number, the result is that number. For example, 9 + 0 = 9.

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Provide an example of the Commutative Property of Addition.

Back

An example of the Commutative Property of Addition is 3 + 9 = 9 + 3, which shows that the order of addition does not affect the sum.

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What does the Associative Property state?

Back

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, (-2 + 3) + 6 = -2 + (3 + 6).

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Explain the Distributive Property.

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, 5(3 + 2) = 5•3 + 5•2.

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What is the Additive Inverse?

Back

The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the Additive Inverse of 38 is -38, since 38 + (-38) = 0.

Front

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, 4 × 5 = 5 × 4.

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Define the Associative Property of Multiplication.

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change their product. For example, (2 × 3) × 4 = 2 × (3 × 4).

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What is the Distributive Property used for in algebra?

Back

The Distributive Property is used to simplify expressions and solve equations by distributing a multiplier across terms within parentheses.

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What is the difference between the Identity Property of Addition and the Identity Property of Multiplication?

Back

The Identity Property of Addition states that adding zero to a number does not change the number, while the Identity Property of Multiplication states that multiplying a number by one does not change the number.

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How does the Additive Inverse relate to solving equations?

Back

The Additive Inverse is used in solving equations to isolate a variable by adding or subtracting the same number from both sides of the equation.