Name:_________________________________ M2BL9 Accordino-Math 7 Date:_________ Period:________ Lesson 9: Multiplication and Division of Integers “THE RULES” Bellringer 1. 2. What is a c equivalent to? b d a) ab cd b) ac bd c) ab cd d) ac bd Find the solution to the situation below: “Sam bought 3 candy bars that cost $2 each. How much money did Sam spend total on the candy bars?” 3. Match the term with their appropriate definition: _________: product a. The solution to a multiplication problem _________: sum b. The solution to a division problem _________: quotient c. The solution to a subtraction problem _________: difference d. The solution to an addition problem _________: equivalent e. Being equal in value Name:_________________________________ M2BL9 Date:_________ Accordino-Math 7 Period:________ Lesson 9: Multiplication and Division of Integers “THE RULES” Notes Review: Integer: A positive or negative whole number Absolute Value: The distance from zero a number in on the number line Ex) 10 10 Ex) 10 10 The Additive Inverse: A number’s opposite Ex) 10, -10 -101, 101 When we add a number and its opposite we will always get an answer of zero. This is called the Additive Inverse of a number!!! “THE RULES” 1) Adding Integers: When adding two integers with the same sign ( ++ or --): When adding two integers with different signs (+- or -+): 2) Subtracting Integers: “____________, _________________, _______________” Then, follow the rules for ____________________________ of integers. Integer Game Revisited In groups of four, play the Integer Game. Use the table below to record your sums: Card 1 Turn 1 Turn 2 Turn 3 Turn 4 Card 2 Card 3 Card 4 Sum Name:_________________________________ M2BL9 Date:_________ Accordino-Math 7 Period:________ Record the cards from Turn 2 above in Part A, then “copy” the starred card in to each started box of Part B below: Part A: Sum of Part A: Part B: Sum of Part B: Is there a faster way to develop the sum of Part B? Copy down your cards from part A above into Part C but change the starred card to its opposite value: Part Part D: Sum of Part D: Is there a faster way to develop the sum of Part D? C: Sum of Part C: Name:_________________________________ M2BL9 Accordino-Math 7 Date:_________ Period:________ Example 2: Product of Two Negative Integers You are dealt the hand to the right: -2 -2 -2 -3 -2 1 a. What is the sum (value) of your hand? b. You are asked to take away all the (-2) cards in your hand. What is the new sum (value) of your hand? c. How does your value in b compare to value sum in a? d. Is there a faster way to develop the sum of b? “THE RULES” Multiplying and Dividing Two Integers When multiplying or dividing two integers with the same sign (++ or --): multiply or divide the absolute values and make the sign of your solution ________________________. When multiplying or dividing two integers with different signs (+- or -+): multiply or divide the absolute values and make the sign of your solution ________________________. Ex 1) Find the product of (-12) and (3). Ex 2) Find the quotient of (-25) and (-5). Ex 3) Find the product of (-2), (10) and (-4). Name:_________________________________ M2BL9 Date:_________ Accordino-Math 7 Period:________ You Try it! Evaluate each expression below using the rules for multiplying and dividing integers. 1) 56 (8) 5) 50 (10) 2) 42 7 6) 5 10 3) 16 (2) 7) 36 18 4) 36 (9) 8) 210 7 Ex 4) Sam bought 3 candy bars that cost $2 each. Use multiplication to show much money Sam spent total on candy bars? Ex 5) Sally rides the train each day to work. Each trip costs her $5.00 one way. How much will Sally spend if she wants to ride the train to and from work for a full five day workweek? You Try it! Scott owes his mom money. He is currently paying her back $17.00 each week. How much money will he have paid her after 3 weeks? Name:_________________________________ M2BL9 Accordino-Math 7 Date:_________ Period:________ Homework: 1) Find each product: 2) Find each quotient: 3) Ella is charged a $6.00 fee each time she withdraws money from an ATM while overseas in Scotland. How much money will Ella spend on fees if she withdraws money 24 times in a four month period? 4) Which of the following are equivalent to (−6) − (−3)? Check all that apply. _________ (−3) − (−6) _________(−6) + (+3) _________(−6) + 3 _________(−3) + (−3) + 3 Name:_________________________________ M2BL9 Accordino-Math 7 Date:_________ Period:________ Lesson 9: Multiplication and Division of Integers “THE RULES” Exit Ticket 1) Complete the rule for multiplying and dividing integers below Multiplying and Dividing Two Integers When multiplying or dividing two integers with the same sign (++ or --): __________________________________________________________________________________________ __________________________________________________________________________________________ When multiplying or dividing two integers with different signs (+- or -+): __________________________________________________________________________________________ __________________________________________________________________________________________ 2) Find the solution for the expression below: −14 × (−2)
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