1. Chapter 2
Integers
+ - * ÷

2. Integers Integers- Negative and Positive whole numbers. INCLUDES 0
Write some integers on your paper:
…-4, -3, -2, -1, 0, 1, 2, 3, 4…

3. Ordering integers Order the following from least to greatest:
-7, 2, -1, 0, -2
-7, -2, -1, 0, 2
9, -4, 12, -11, -1
-11, -4, -1, 9, 12
3) 0, -99, 44, -60, 16
-99, -60, 0, 16, 44

4. Absolute Value
Absolute Value- The distance between the number and zero on a number line.
The absolute value of n looks like: │n│
Find the absolute value of the following:
│6│ │-8│ │15│

5. Opposite
Opposite of a number- same distance from 0. On different sides of 0. Opposite numbers have the same AV.
Find the opposite: -6 14
-27

6. Evaluate:
-│8│
-│-5│
(-6)
-(- 4)

7. Do Now 9/30 Write the opposite and Absolute Value: 18 -45 -16
Evaluate:
4) -(-2)
5) - │-18│

8. Adding Integers – Number Line
Use your number line to add integers:
Positive numbers right, Negative numbers left
3 + (-4)
-5 + 2
Start at zero
Move 3 units to the right
Move 4 units to the left
1) Start at zero
2) Move 5 units to the left
3) Move 2 units to the right

9. Adding Integers – Number Line
Use your number line to add integers:
Positive numbers right, Negative numbers left 3) 4)
1) Start at zero
2) Move 6 units to the left
3) Move 1 unit to the left
2) Move 4 units left
3) Move 2 units right

10. Do Now 10/1/09 Add using a number line: 7 + (-10) -2 + ( -3) -8 + 5
5 + 3

11. Adding Integers- Walking on a number line
-2 + 4
7 + (-8)
5 + (-4)
-8 + 3
-2 + (-7)
12 + (-8)
9) 9 + (-11)
10)
11) 17 + (-7)
12)
13) 7 + (-4)
14)
15) (-7)
16) 15 + (-8)
17) 19 + (-11)
18)
19) 7 + (-7)
20)
21) 15 + (-8)
22)
23) (-2)
24) 19 + (-7)

12. What are the Adding Integer RULES?!
Write a rule for:
(+) + (+)
(-) + (- )
( - ) + (+) / (+) + (- )

13. Adding Integers - Integer song:
Integer Operations Song
(Row Row Row Your Boat)
Same sign - add and keep
Different sign - subtract
Keep the sign of the bigger number
Then you’ll be exact.

14. Adding Integers – Using the Song3) 4) 9)
10) 5) 6)
11)
12) 1) 2) 7) 8)

15. Do Now 10/5
Add: 3) 4)

16. Adding Integers – Zero Pairs
zero pairs- is a pair of numbers whose sum is zero.
4 + -7
3 + -2
-6 + 5

17. Subtracting Integers – Add Opposite
Subtract Integers- Add the opposite of the second number.
11 – 12
-5 – 3
-7 – (-6)
8 – (-2)

18. Do Now 10/7/09 Subtract – Add the opposites -6 – 9 72 – 114
-18 – (-88)
25 – (-93)

19. Subtracting Integers –Song
Subtract – no, don’t do!
Just change the second sign
Now add the numbers like you did
And then you will be fine

20. Subtracting Integers – Using the song
3) 20 – (-30)
4) 7 – (-8)
9) -47 – (-20)
10) 5)
6) 4 - (-7) – (-11)
11) 7 – (-13) - 6
12) – (-5)
1) -3 – (-4)
2) -8 – (-5)
7) 33 – (-15) 8)

21. Do Now- 10/8/09
Subtract:
-8 – (-3)
- 74 – 19
-56 – (-32)
43 – 93

22. Adding and Subtracting Integers
Be careful, you have to decide which rule to follow (adding or subtracting)
- 35 – 32
49 – 9
6) - 5 – 28
7) 19 – 57 8) 9)
10) -42 – 34

23. Do Now 10/14/09
Add or subtract:
48 – 59

24. Multiplying and Dividing Integers-
Multiply and Divide numbers
as you normally do.
-If both signs are positive or negative the answer is positive
-If one sign is positive and one sign is negative the answer is negative

25. Multiply and Divide -12 ÷ 3 -14 * -7 -35 ÷ -5 6 * -5 5) 49 ÷ -7
6) -30 ÷ -10
7) -7 * 3
8) -9 * -2

26. Do Now 10/15
1) 20 * (-3)
2) 16 ÷ (-8)
3) -40 ÷ (-20)
4) -8 * 5

27. Multiplying and Dividing with Zeros
0 * -32 = 0
Dividing-
0 ÷ -4 = 0 = -4
-4 ÷ 0= -4 =
undefined = u

28. Multiplying and Dividing Integers- Song
Multiply or Divide - what do I do now?
Same sign- positive –
Different sign- negative
I got it now KERPOW!!

29. Multiplying and Dividing Integers- Song
-10 ÷ 5
-2 * -7 * 5
-90 ÷ -5
6 * -3 * -3
5) 49 ÷ -7
6) -110÷ -10
7) -7 * -4 * -2
8) -9 * -12

30. Do Now 10/16 Add/subtract/Multiply and Divide 5 + -3 -3 * 7 -28 ÷ -2
14 – (-8)

31. Peer Grading of projects
Tell what Grade you should get and why on back of rubric.
Show each other all the rules on your project. (check that each person included all parts of the rules)
Show each other all the real life examples on your project. (check that there are atleast 3 and that they are different ideas).

32. Do Now: Identify the following properties of Math (use your text if you forgot):
1- Identity Property-
Sum of a number and zero = the number
Product of a number and 1 = the number
a + 0 = a
b * 1 = b
2- Commutative Property-
Can add or multiply numbers in any order
a+b = b +a cd= dc
3-Associative Property-
Changing the grouping will not affect the sum or product
a + (b+c) = (a + b) + c abc= cba

33. A(B + C) = AB + AC D(E – F) = DE – DF
Distributive Property- You can multiply a number and a sum by multiplying the number by each part of the sum and then adding these products. The same applies to subtraction.
A(B + C) = AB + AC
D(E – F) = DE – DF

34. Ex1: -5 (x + 10)
-5x + -5(10)
= -5x or
= -5x – 50

35. Ex2: 2 (x - 7)
2x - 2(7)
= 2x - 14

36. Ex3: 3 [x – 20 + (-5)]
3 (x) – 3 (20) + 3 (-5)
3x – 60 + (-15)
3x + (-60) + (-15)
3x + (-75)

37. Simplify using Distributive Property
1) -2 (5 + 12)
2) -4(-7 – 10)
3) 2(w – 8)
4) -8(z + 25)

38. Tell Which property each displays: Do Now 10/28
1) 3(2x + 1)= 6x +3
2) (2 + 4) + y = 2 + (4 + y)
4x = x*4
6(2*15)= (6*2)15

39. Like Terms- Identical variable parts raised to the same power
For example: 2m and 14m
3x4 and 12x4
12xy2z and xy2z
3 and 62
Write 3 more examples on your page:

40. Simplify the expression by combining like terms:
c + 8c
3m + -4m
15y2 + 9y + 11y2
-5x -7t +2x -9t

41. Like Terms-
5x – 2x
2a + 3a
7p – 3p + 25
10k k
13z z

42. Simplify the expressions:
9w (w + -4)
8(1 +4d) – 3d
9p – ( 7p + 2)
11(2g - 4) g

43. Solve Equations Involving Distribution
3(x – 9) = -39
z + 4(6 – z) = 21
8 = -7(y + 1) + 2y