How do you multiply integers?

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Presentation transcript:

How do you multiply integers? 2.1 Multiplying Integers How do you multiply integers?

Notes Same sign is ALWAYS positive Opposite signs are ALWAYS negative. (1)(1) = 1 (-1)(-1) = 1 Opposite signs are ALWAYS negative. (1)(-1) = -1 (-1)(1) = -1

Multiplying integers using a number line Page 37 A B Reflect

Multiplying (13)(-3) Step 1: Determine the sign of the product Opposite signs means negative product Step 2: Find the absolute values of the numbers and multiply them (13)(3) = 39 Step 3: Assign the correct sign to the product (13)(-3) = -39 (-5)(-8) (-10)(0)

Practice Your Turn pg 39 #4-9 Independent Practice pg 41-42 #19-27 Guided Practice pg 40 #1-17 Multiplications worksheet 2.1 Quiz

How do you divide integers? 2.2 Dividing Integers How do you divide integers?

Notes Same sign is ALWAYS positive Opposite signs are ALWAYS negative. (1)(1) = 1 (-1)(-1) = 1 Opposite signs are ALWAYS negative. (1)(-1) = -1 (-1)(1) = -1

Explore Activity Page 43 - together

Dividing 24÷(-3) Step 1: Determine the sign of the quotient Opposite signs mean negative quotient Step 2: Divide 24 ÷ (-3) = -8 -6÷ (-2) 0 ÷ (-9)

Practice Your Turn pg 43 #2-4 Independent Practice pg 47-48 #20-27 Guided Practice pg 46 #1-18 Division worksheet 2.2 Quiz

2.3 Applying Integer Operations How can you use integer operations to solve real-world problems? ~Using Order of Operations

Example 1 Hannah made four withdrawals of $20 from her checking account. She also wrote a check for $215. By how much did the amount in her checking account change? Analyze Find the change. Withdrawals and checks are negative amounts Formulate -20 + (-20) + (-20) +(-20) = 4(-20) Add -215 for the check 4(-20) + (-215) Solve -80 – 215 -295 Answer The amount decreased by $295

Try It Reggie lost 3 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned a bonus of 200 points. By how much did his score change? 3(-30) + 200 -90+200 110 Reggie’s points increased by 110.

Example 2 -72 ÷ 3 + (-15) =-24 + (-15) =-39 Try it (-12) ÷ 6 + 2 40 ÷ (-5) + 30 -87 ÷ (-3) – 9 -39 ÷ 3 - 15

Example 3 Jill and Tony play a board game in which they move counters along a board. Jill moves her counter back 3 spaces four times, and then moves her counter forward 6 spaces. Tony moves his counter back 2 spaces three times, and then moves his player forward 3 spaces one time. Find each player’s overall change in position. Who moved farther? Step 1: Find each player’s overall change Jill: 4(-3) + 6 = -12+6 = 6 Tony: 3(-2) + 3 = -6 + 3 = -3 Step 2: Compare the numbers of spaces moved |-6| |-3| which one is larger Jill moves farther back than Tony

Practice Independent Practice pg 53-54 #16-26 Guided Practice pg 52 #1-14 2.3 Worksheet 2.3 Quiz Overall Integer TEST