Multiplication Repeated addition Parts of a Multiplication Problem

Multiplication Repeated addition

Parts of a Multiplication Problem Factor × 4 Product 36 9

Multiplying Two Integers with Unlike Signs 1. Multiply the absolute values of the factors. 2. The product is negative.

Example 1 Multiply − 4 by 7. |− 4| • |7| = 7(− 4) = − 28

Example 2 Multiply 5 by − 4. |− 4| • |5| = 5(− 4) = − 20

Multiplying Two Integers with Like Signs 1. Multiply the absolute values of the factors. 2. The product is positive.

Example 3 Multiply − 9 by − 6. |− 6| • |− 9| = − 6(− 9) = 54

Example 4 Multiply. − 6(− 2)(− 3) = − 36

Example 5 Multiply. 4(− 3)(− 5) = 60

Example 6 Multiply. − 6(− 2)(− 3) = − 36

Example 7 Multiply. 4(− 3)(− 5) = 60

Example Tell whether the product is positive or negative. a. − 3(4) negative b. 4(− 2)(− 1) positive c. −[− 8(44)] positive

Example Tell whether the product is positive or negative. d. 36(− 31)(22)(− 5)(− 3)(4)(− 1) positive

Example Multiply. 3(− 4)(5) = − 60

Example Multiply. 22(− 33)(0)(48) = 0

Example Multiply. |− 12|(− 5) = − 60

Example Multiply. − 8|12 − 21| = − 72

Example Multiply. − 6(5)(− 2)(− 7)(− 3) = 1, 260

Example A football team averaged 73, 200 fans per home game. If they played eight home games, how many tickets did they sell? 585, 600 tickets

Example If the Petersons average $153 in electricity, $78 in water, and $58 in gas each month, then about how much do they spend on utilities in a year? $3, 468

Example A church youth group goes to a local amusement park. Adult tickets cost $28 and teen tickets cost $22. If there are thirty-six teens and four sponsors, what is the total cost of tickets? $904

Example The Smiths budget $2, 000 for vacation. They figure gas will cost $238. Food will cost $38 per day, and a hotel room will cost $45 per night. If they plan to take a twelve-day vacation, how much will they have left for sightseeing? $811