1.3.2 Multiplication and Division of Real Numbers

SWBAT:1) Multiply and divide real numbers2) Connect and analyze properties for all basic operations (multiply, divide, add, subtract)

Commutative Property – Any Ordera b = b a2 (-3) = (-3) 2

Associative Property – Any Grouping(a b) c = a (b c)(2 (-3)) 5 = 2 ((-3) 5)

Identity Propertya 1 = a2 1 = 2

Inverse Property (reciprocal)a = 1

2 = 1a1

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Property of Zero a 0 = 0 2 0 = 0

Property of -1 a -1 = -a 3 -1 = -3

-3 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!

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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