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1.8 Properties of Real Numbers I can identify properties of real numbers Property Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Identity Property of Addition Identity Property of Multiplication Inverse Property of Addition Explanation Example Inverse Property of Multiplication Distributive Property Multiplication Property of Zero Multiplication Property of -1 Name the property that each equation Name the property that each equation illustrates. illustrates. 83 + 6 = 6 + 83 1 4y = 4y Name the property that each equation Name the property that each equation illustrates. illustrates. 15x + 15y = 15(x + y) 8+x=x+8 Name the property that each equation Name the property that each equation illustrates. illustrates. 15x + 15y = 15(x + y) (8 7) 6 = 8 (7 6) Name the property that each equation Name the property that each equation illustrates. illustrates. 7 + (8 + 15) = (7 + 8) + 15 4a + (5b + 6c) = (4a + 5b) + 6c Name the property that each equation Name the property that each equation illustrates. illustrates. 3w + 5y = 5y + 3w Name the property that each equation Name the property that each equation illustrates. illustrates. 0 = 30 0 x+y=y+x Name the property that each equation Name the property that each equation illustrates. illustrates. 6 (x y) = (6 x) y 20(a + b) = 20(b + a) 1. Are the expressions 6m + 1 and 1 * 6 + m equivalent? Explain your answer. 2. Are the expressions 9 y and 9 + y equivalent? Explain your answer. 3. Are the expressions -(5 – 9) and 9 – 5 equivalent? Explain your answer. 4. Is subtraction commutative? Explain your answer and give an example. 5. Is division commutative? Explain your answer and give an example. 6. Is addition commutative? Explain your answer and give an example.