1. Rational numbers Adding integers Subtracting integers
Multiplying/Dividing Integers
Absolute Values
Drawing problems using + and – signs
Number lines

2. Rational numbers are numbers that can be written as a fraction
Fraction = Ratio
Examples:
1.5 is rational = 3/2
3 is rational = 21/7
60% is rational = 60/100
-2 is rational = -6/3

3. Positive or negative whole numbers
Integers
Positive or negative whole numbers

4. -3 -2 -1 0 1 2 3 4 5 6 Absolute value: the distance of a
number from zero on a number line

5. Adding Integers: -5 + -3 = 8 + (-2) = **SHOW ON NUMBER LINE Same signs
Different signs
Add together
Subtract
Keep the sign of both numbers
Keep the sign of the number with the largest absolute value =
8 + (-2) = **SHOW ON NUMBER LINE

6. Practice problems
Solve and show on a number line. 3) = 4) 3 + (-4)=

7. Subtracting Integers:
**KEEP-CHANGE-CHANGE RULE** (KCC) **Use ADDITION RULES =
2 - (-5) =

8. Practice problems
Solve and show on a number line. 3) = 4) 3 - (-4)=

9. Multiplying and Dividing Integers:
Multiply or divide then:
Same signs
Different signs
Positive
negative
1) -5 x (-4)=
2) 8 x (–2) =

10. Practice problems
Solve. 3) -3 x 6 = 4) 7 x (-4)=

11. Showing adding/subtracting with a drawing:
= -3 _ _ _ _ Cancel out any + and – pairs because they will equal ZERO. The signs you have left over is your answer. **On SUBTRACTION PROBLEMS you MUST Keep-Change-Change before drawing the picture!

12. Showing adding/subtracting with a number line:
+ Go right
- Go left
= -1
Plot -7 on the number line
You are adding POSITIVE 6, so you will move to the RIGHT
Fill in your number line
Plot your answer (-1)
Go right 6 because you are
adding a POSITIVE 6!

13. Example 2 on a number line:
-5 – 8 =
Keep-Change-Change
New problem: (-8) = -13
Plot -5 on the number line
You are adding NEGATIVE 8, so you will move to the LEFT!
Plot your answer (-13).
+ Go right
- Go left
Go left 8 because you are
adding a POSITIVE 6!

14. Group Work—everyone COPY down! **Draw a number line for each problem with ** beside it!
= ) 7 – 12 = 9) -4 x 2 =
4 + 3 = ) -5 – 1 = ) 3 x (-7)=
-8 + (-6) = ) -2 – (-3) = 11) -8 x (-3) =
4) 6 + (-4) = ** ) 1 – (-5) =** 12) 6 x 7 =

15. Word problems
Bob owed Sally $6. He wanted to buy a drink at the ballgame, so he borrowed $2 from Sally. What integer represents the amount Bob owes Sally?
Baby Marco weighed 12 pounds. He lost 3 pounds when he was sick, but gained 7 pounds in the last 2 months. What integer represents his current weight?