1. Positive and Negative Integers
Chapter 9
Positive and Negative Integers
In non-mathematical terms, are whole numbers positive or negative that can be written without a fractional or decimal component
AM 182 to 195

2. Vocabulary
Integer: + - numbers without fractions or decimals. Symbols
Negative integer: an integer less than 0
Positive integer: an integer greater than 0
Opposite integer: two integers that are the same distance from 0
Greater than > = or less than <

3. Memorize the Pattern for multiplication and division
+ x + = +
- x + = - Pattern is the
+ x - = - same for div
- x - = +

4. Steps for + and - integers
+ - = -
- + = -
- - = +
Combine signs
Different sign = difference
Same sign = sum
Take the sign of the biggest number

5. Negative integers - + + + - - + -
When discussing + - integers will you ever deal with fractions or decimals?

6. Obj. Adding integers - 9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
positive + positive
3+4
5+6
7+8
9+2
Positive + negative
3+ -5
5+ -1
8+ -6
9+ -9
Negative + Positive
-5+6
-2+7
-6+3
-4+4
Negative + negative
-2+ -6

7. Integer Check list
Look for any problem with 2 negative symbols together.
change signs and continue
Use the language to figure the problem
Same signs sum
-4-12 = 16
Different signs difference
= 8

8. Obj. Subtracting integers
positive - positive
8-6
7-8
4-7
positive - negative
5- -1
6- -8
9- -9
Note - - =+
negative - Positive
-2 - 7
-6 – 3
-4 - 4
negative - negative
Note - - = +

9. + - x Integers Define integer: 7+ - 5 = -10 + 6 = -3 x 10 = -5 x -5 == =
-3 x 10 =
-5 x -5 = = =
-7- 9 =
10-7 = =

10. Multiply Integers
If the signs of the integers are the same the product is positive.
3x2=6
-4x-4=16
-2x-3=6
If the signs of the Integers are different the product is negative.
-3x5=-15
2x-6=-12
6x-5=-30

11. Divide integers
If the signs of the integers are the same the product is positive.
If the signs of the Integers are different the product is negative.

12. Divide Integers Remember the rules are the same if you get a fraction.
1/8 divided by -4 =

13. Order numbers from: Least to greatest Greatest to least
-20, 10, 7, -1, -6, 3
-1/2, -15/3, 1, -10, 16
Greatest to least
12, 17, -12, -2, -300
1, -45, 3, 2 1/2 , -1 ¾ , - 34,

14. Equations with Integers
Rules are the same
Use the INVERSE OPERATION
To get the variable alone
Then solve for the variable

15. Negative Exponents Negative exponents are simply fractions
Reteach 9-11

16. Rational Numbers Whole Numbers
positive whole numbers
Integers – positive and negitive whole numbers
positive and negative whole numbers
Rational Numbers = Everything
6% ½ -3/4 2 ½ ½ 7/ /3

17. Rational numbers
Whole numbers
integers