2-2 HW = Pg. 77-79 #12-50 e, 60-61. 2-2 HW Continued.

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Properties of Real Numbers

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2-2 HW = Pg #12-50 e, 60-61

2-2 HW Continued

2-3 HW = Pg #4-38 e, 42-44, 49-50

2-3 HW Continued

49.) D 50.) D

2-3 HW: Quiz 1 Pg. 84 #1-10

Lesson Opener

2-5 Warm Up Wir2.5 LESSON Write each addition sentence as a multiplication sentence Find the product.

Answers: = = (-12)+10+(-5) = m, -2n, -5 are the terms ft, -4ft, -6ft x-201 y

Identify and extend the patterns to complete the lists. What generalizations can you make about the sign of a product of real numbers? Factor of –3Factor of –2Factor of –1 (3)(-3)=-9(3)(-2)=-6(3)(-1)=-3 (2)(-3)=-6(2)(-2)=-4(2)(-1)=-2 (1)(-3)=-3(1)(-2)=-2(1)(-1)=-1 (0)(-3)=0(0)(-2)=0(0)(-1)=0 (-1)(-3)=___(-1)(-2)=____(-1)(-1)=___ (-2)(-3)=___(-2)(-2)=____(-2)(-1)=___ 2-4 Multiplication of Real Numbers

Multiplying Real Numbers Same sign –take product of absolute values –answer is POSITIVE Different signs –take product of absolute values –answer is NEGATIVE

Properties of Multiplication Commutative Property = order changes Associative Property = change grouping Identity Property = product of a number and 1 is the number Property of Zero = product of a number and 0 is 0 Property of Opposites = product of number and –1 is the opposite of the number

Practice Find the product.

Practice 2 Evaluate the expression

Summary Multiplying –12 by –97 produces the same result as multiplying –97 by –12. Is that true? If it is true, what property is it? Ans: TRUE, Commutative Property of Multiplication Is the product of an odd number of factors always a negative number? Ans: No, only if an odd number of the factors are negative Is the product of an even number of factors always a positive number? Ans: YES Describe the error shown below:

Check Yourself Pg #4-48e, 57-58