1. Absolute Value/Integers

2. Integers/Absolute Value
Four friends are waiting in line at a deli. Lisa is in front of Sam. Sam is behind Gary and in front of Maria. Gary is first. In what order are they waiting?

3. Integers/Absolute Value
Integer = set of positive #’s, negative #’s, and zero.
Positive Integers = whole #’s greater than zero.
Negative Integers = whole #’s less than zero.
Opposite Numbers = two #’s that are the same distance from zero but on opposite sides of zero on a number line.
Absolute Value = total distance from zero on a # line.

4. Integers/Absolute Value
│3│ =
│-144│ =
│- 8│ =
│62│ =
│25│ =
│- 91│ =
│- 1│ =
│5│ =
│77│ =
│- 13│ =

5. Integers/Absolute Value
I will point to a number, if it is an integer you will say yes and then state its opposite. If not, say no.
- 25 78
1.45 2 33
- 453
4.8 54
- 47
4.56
-789
15.8 4
7.586
- 1127 47
- 89

6. Integers/Absolute Value
Use a greater than, less than, or equal sign to show the relation between the following integers:

7. Integers/Absolute Value
Order the following integers from least to greatest:
+4, 0, -3, -5
-5, -10, -12, -8
0, +5, +8, +17

8. Look at your card, now go around the room and find your opposite #.
Quiz
Look at your card, now go around the room and find your opposite #.
Look at your number, now as a class, form a number line that shows the values from least to greatest.

9. Adding Integers
Red and yellow chips
Number lines
Army men
Face cards…

10. Subtracting Integers
Robert’s checkbook balance was $15. He deposited $20, wrote a check for $25, and deposited $12. What was his balance after these transactions?

11. Subtracting Integers + - ?
1st Integer
2nd Integer
Answer +
Subtract the absolute values (sign remains positive) -
Subtract the absolute values (sign remains negative) ?
Add the absolute values (sign matches the integer with the greater absolute value.)
Subtintegers is the same as adding the opposite.

12. Subtracting Integers +4 - +9 = 8 – (-3) = +5 – (-7) = - 9 – (+2) =
*** You can also use the other methods we talked about like:
- Red and Yellow Counting Chips
-Number lines
-Army Men
- Hot and Cold Cubes
-Thermometers
-Money
- Gains and Losses
- Deposits and Withdrawals =
8 – (-3) =
+5 – (-7) =
- 9 – (+2) =

13. Subtracting Integers
= - 8 – (-3) = +5 – (-7) = - 9 – (+2) = 0 – (-6) = = - 3 – (-4) = +5 – (-6) = - 8 – (+9) = 0 – +1 =

14. Quiz =
+2 – (-8) =
+4 – (-3) =
- 9 – (+6) =

15. Multiplying/Dividing Integers
James bought a painting for $144. The cost was 3/5 the original price of the painting. What was the original price of the painting?

16. Multiplying/Dividing Integers
+2 x -3 This means to add 2 groups of -3 to zero.

17. Multiplying/Dividing Integers
-2 x +3
This means to remove 2 groups of +3 from zero. Start with 0. Use pairs of yellow and red counters to show 0. Then remove 2 groups of 3 yellow counters.

18. Multiplying/Dividing Integers
-12 ÷ +4
This means to remove 2 groups of +3 from zero. Start with 0. Use pairs of yellow and red counters to show 0. Then remove 2 groups of 3 yellow counters.

19. Multiplying/Dividing Integers
-8 ÷ -2
This means to remove 2 groups of +3 from zero. Start with 0. Use pairs of yellow and red counters to show 0. Then remove 2 groups of 3 yellow counters.

20. Multiplying/Dividing Integers
1st Integer
2nd Integer
Answer + -
Temporarily ignore the signs and multiply or divide like normal.
2) Look back at the original signs to determine the sign of the answer. - If the signs match the answer will be positive. - If the signs do not match the answer will be negative.

21. -4 x -6 -7 x +10 +8 x -2 +5 x +3 -54 x 0 -36 ÷ -6 -15 ÷ +3 +54 ÷ -9
Quiz
-4 x -6
-7 x +10
+8 x -2
+5 x +3
-54 x 0
-36 ÷ -6
-15 ÷ +3
+54 ÷ -9
+12 ÷ +3
-54 ÷ 1