PROPERTIES OF OPERATIONS Section 5.3. PROPERTIES OF OPERATIONS  The _________ Property states that the order in which numbers are added or multiplied.

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PROPERTIES OF OPERATIONS Section 5.3

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  _______ = ________

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  _______ = ________

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

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 _________

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? ______

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

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

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

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

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