2. Integers Click on picture to begin

3. What is an integer? An integer is a positive or negative whole number or zero.

4. Examples of Integers Temperature Example: The temperature increased 20 degrees. The integer is +20. Money Example: I lost $50 in the stock market. The integer is -50. Sea Level Example: Southfield is 684 feet above sea level. The integer is +684.

5. Ordering Integers The numbers increase as you go right on the number line. The numbers decrease as you go left on the number line. Ordering integers example increase decrease

6. Integer Rules Addition Rules Subtraction Rules Multiplication Rules Division Rules Additional PracticeWeb Resources

7. Addition Rules Positive + Positive Negative + Negative Positive + Negative & Negative + Positive

8. Positive + Positive -5 -10 -15 -20 -25 -30 -35 +40 +35 +30 +25 +20 +10 +5 0 += + + + + + + + + + + ++ + + ++ Examples 1.3 + 5 =8 2.12 + 39 = 51 3.The initial temperature was 5 degrees. If the temperature rises 20 degrees, what is the new temperature? 5 + 20 = 25 Positive + Positive = Positive

9. Negative + Negative -5 -10 -15 -20 -25 -30 -35 +40 +35 +30 +25 +20 +10 +5 0 += - - - - - - - - - - -- - - -- Examples 1.(-5) + (-8) = -13 2.(-11) + (-89) = -100 3.The initial temperature was -15 degrees. If the temperature fell 10 degrees, what is the new temperature? (-15) + (-10) = -25 - - - - - - - - - - Negative + Negative = Negative

10. Positive + Negative & Negative + Positive Positive + Negative = Negative + Positive = Depends! If the positive number is bigger, the answer is positive. If the negative number is bigger, the answer is negative. If they are same, they add up to zero. HMM…

11. Positive + Negative & Negative + Positive Examples 1.(-4) + 3 = -1 += - - - - + + + -+ + + - - - = - 2. 6 + (-2) = 4 + ++ + ++ - - + = + + + + + + - - = + ++ + 3. 4 + (-4) = 0 + ++ + + - - - - = + + + +- - - - =

12. Subtraction Rules Whenever you have a subtraction problem, turn it into an addition problem by ADDING THE OPPOSITE. Then, use the addition rules. Examples 1.5 - 3 = 5 + (-3) = 2 2.10 - 5 = 10 + (-5) = -5 3.-21 - 7 = (-21) + (-7) = -28 4. 8 - (-6) = 8 + 6 = 14 5.(-4) - (-2) = (-4) + 2 = -2 6.(-9) - (-9) = (-9) + 9 = 0

13. Multiplication Rules Positive x Positive Negative x Negative Positive x Negative & Negative x Positive

14. Positive x Positive x = It’s a match, so that’s good (positive)! Positive x Positive = Positive Examples 1.5 x 3 = 15 2.3 x 1 = 3 3.13 x 13 = 139 4.9 x 8 = 72

15. Negative x Negative x = It’s a match, so that’s good (positive)! Negative x Negative = Positive Examples 1.(-5) x (-3) = 15 2.(-3) x (-1) = 3 3.(-7) x (-8) = 56 4.(-10) x (-10) = 100

16. Positive x Negative & Negative x Positive x = It’s a not a match, so that’s bad (negative)! Positive x Negative = Negative Examples 1.(-5) x 3 = -15 2.3 x (-1) = -3 3.(-11) x 16 = -176 4.25 x (-5) = -125

17. Division Rules Same rules as multiplication  Positive ÷ Positive = Positive  Negative ÷ Negative = Positive  Positive ÷ Negative = Negative  Negative ÷ Positive = Negative Examples 1.6 ÷ 3 = 25. 6 ÷ (-3) = -2 2.10 ÷ 4 = 4 6. (-19) ÷ 2 = -9 3.(-42) ÷ (-7) = 6 7. (-42) ÷ 7 = -6 4. (-16) ÷ (-3) = 58. 17 ÷ (-4) = -4

18. Additional Practice 1. 5 + (-23) =11. (-23) - (-23) = 2. (-8) x (-4) = 12. (-13) + 15 = 3. (-4) - 3 =13. 13 x 6 = 4.12 - 10 = 14. 85 + 122 = 5. 25 ÷ (-5) = 15. 99 ÷ (-99) = 6. (-14) + (-7) = 16. (-63) + 63 = 7. 3 x (-6) = 17. 8 - 30 = 8. (-11) ÷ 3 =18. (-10) x 5 = 9. 54 ÷ 9 = 19. (-24) ÷ (-7) = 10. 12 x (-12) = 20. (-1) - 60 =

19. Additional Practice 1. -1811. 0 2. 32 12. 2 3. -713. 78 4.214. 207 5. -5 15. -1 6. -21 16. 0 7. -1817. -22 8. -318. -50 9. 6 19. 3 10. -144 20. -61

20. Web Resources McGraw-Hill Glencoe http://www.glencoe.com/ AAA Math http://www.aaamath.com/