Q: 1.2 Simplifying Expressions & Solving Equations

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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 is the Multiplicative Inverse property?

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The Multiplicative Inverse property states that for any non-zero number a, there exists a number 1/a such that a × (1/a) = 1.

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-40

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-9

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What is 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: a + b = b + a.

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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 does not change their sum: (a + b) + c = a + (b + c).

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What is the Distributive property?

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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 Additive Identity property?

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The Additive Identity property states that any number plus zero equals the number itself: a + 0 = a.

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What is the Multiplicative Identity property?

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The Multiplicative Identity property states that any number multiplied by one equals the number itself: a × 1 = a.

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10