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PROPERTIES OF OPERATIONS Section 5.3

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PROPERTIES OF OPERATIONS The _________ Property states that the order in which numbers are added or multiplied does not change the sum or product Example: 7 x 3 = 3 x 7 Write your own example _______ = ________

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PROPERTIES OF OPERATIONS The _________ Property states that the way in which numbers are grouped when they are added or multiplied does not change the sum or product. Example: 3 + (4+5) = (3+4) + 5 Write your own example _______ = ________

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PROPERTIES A _______ is a statement that is true for any number. The following properties are also true for any numbers. PropertyWordsSymbolsExamples Additive Identity Multiplicative Identity Multiplication Property of Zero

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EXAMPLES State whether the following conjecture is true or false. If false, provide a counterexample. 1. The difference of two different whole numbers is always less than both of the two numbers _________

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EXAMPLES 2. Lance made four phone calls from his cell hone today. He calls lasted 4.7, 9.4, 2.3, and 10.6 minutes. Use mental math to find the total amount of time he spent on the phone __________ Which property would be useful? ______

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EXAMPLES Name the property shown by each statement: 3. 3m * 0 * 5m = 0 ____________ 4. 7c + 0 = 7c ___________

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EXAMPLES 5. State whether the following conjecture is true or false. If false, provide a counterexample. Subtraction of whole numbers is associative. _____________________________________ _____________________________________ _____________________________________ _____________________________________

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EXAMPLES 6. Simplify 9c + (8 + 3c). Justify each step. _________________________________ _________________________________ _________________________________

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ESSENTIAL QUESTION Explain the difference between the Commutative and Associative Properties. _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________

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