6.7 Properties of Operations

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What is the Additive Inverse?

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The Additive Inverse of a number 'q' is the number that, when added to 'q', results in zero. For example, the Additive Inverse of 'q' is '-q', because q + (-q) = 0.

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What are the prime factors of 70?

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The prime factors of 70 are 2, 5, and 7. This can be expressed as 2 x 5 x 7.

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What does the Associative Property of Addition state?

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The Associative Property of Addition states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. For example, a + (b + c) = (a + b) + c.

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What is the result of simplifying 2(4k + 7)?

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The result of simplifying 2(4k + 7) is 8k + 14.

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What is the definition of the Commutative Property of Addition?

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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 definition of the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is the definition of a prime number?

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A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

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What is the definition of a composite number?

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A composite number is a natural number greater than 1 that is not prime, meaning it has more than two positive divisors.

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What is the definition of the Additive Identity?

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The Additive Identity is the number 0, because adding 0 to any number does not change the value of that number. For example, a + 0 = a.