1. Reviewing Integers If you stay seven weeks and owe $13 per week for rent, how much is your total bill? Explain your reasoning. How can you check yourself? https://www.youtube.com/watch?v=xkbQ DEXJy2k

2. Adding Integers There are four rules for adding integers. See if your group can write four rules using only +’s and –’s and =‘s. I will start you on the next slide if needed shortly.

3. The 4 Rules of Addition (1) + + + + (1) + + + = + (2) - + - - (2) - + - = - (3) + + - + (3) + + - = + (4) - + + - (4) - + + = -

4. Real Problems (1) 9 + 7 16 (1) 9 + 7 = 16 (2) -4 + (-5) -9 (2) -4 + (-5) = -9 (3) 15 + (-11) 4 (3) 15 + (-11) = 4 (4) -8 + 5 -3 (4) -8 + 5 = -3

5. Subtracting Integers (1)17 – 14 = 3 (2) 14 -17 = -3 (3) -13 – 23 = -36 (4)23- (-13) = 36 (5)-14 – (-7) = -7 (6) -7 – (-14) = 7 Write these sample problems down in your notes and see if the rules for addition apply to subtraction. NO THEY DO NOT! So what can we do?

6. USE A NUMBER LINE IF YOU CANNOT SUBTRACT INTEGERS I will demonstrate with the following problems. (1)7 – 9 (2)-3 – 4 (3)-6 – (-7)

7. Multiplying and Dividing Integers Based on the following information, write as few rules as possible regarding multiplying and dividing integers. (1) 3 ● 4 = 12(5) 12/4 = 3 (2) 3 ● (-4) = -12(6) 12 ÷ (-4) = -3 (3) -3 ● 4 = -12(7) -12 ÷ 4 = -3 (4) (-3) ● (-4) = 12 (8) -12/-4 = 3 You should have written ONLY TWO RULES! (1) If both integers have the same sign, the result will always be positive. (2) If the signs of the integers are different, the result will always be negative.

8. Notebook Examples (1) 8 + (-15) (2) 4 – (-5) (3) -7 + 21 (4) -5 – 3 (5) (-6)(-8) (6) 11(-15) (7) -56 ÷ 8 (8) 12 6 (9) (-3) + (-6) (10) -120 -10 Answers (1) -7 (2) 9 (3) 14 (4) -8 (5) 48 (6) -165 (7) -7 (8) 72 (9) -9 (10) 12