1.3.2 Multiplication and Division of Real Numbers SWBAT: 1) Multiply and divide real numbers 2) Connect and analyze properties for all basic operations (multiply, divide, add, subtract)

 Commutative Property – Any Order  a  b = b  a  2  (-3) = (-3)  2  Associative Property – Any Grouping  (a  b)  c = a  (b  c)  (2  (-3))  5 = 2  ((-3)  5)  Identity Property  a  1 = a  2  1 = 2  Inverse Property (reciprocal)  a  = 1  2  = 1  Property of Zero  a  0 = 0  2  0 = 0  Property of -1  a  -1 = -a  3  -1 = is called the opposite of 3

 For any division or multiplication problem:  Two numbers with the same sign result in a postive answer ◦ 2  3 = 6 ◦ -2  -3 = 6  Two numbers with different signes result in a negative answer ◦ 2  -3 = -6 ◦ -2  3 = -6

 For: ◦ 3  5 = 3   Dividing by a number is the same as multiplying by a recipricol:  Pair up and try this!

 Questions:  - Do the Commutative and Associative Properties apply for division? Why or why not? Provide examples to support your reasoning.  Create real-life problems that could be solved by multiplying or dividing integers. Solve the problems or exchange with a partner.

 pp. 91 – 93  3, 5, 13, 17, 39   pp. 106 – 108  3, 8, 9, 15, 19, 25, 31, 49, 50, 54