1. Title of Notes: Integers and Absolute Value
Pg. 3, 4, & 5 RS

2. Pick a vocabulary word and write the definition. Chapter 3
Bell work – 5 minutes
Pick a vocabulary word and write the definition.
Chapter 3

3. Review: order of operations
Order of operations is the order in which you solve a math problem with many components.
The first rule of order of operations is P.E.M.D.A.S.
Don’t forget to solve the problem from left to right!

4. P l e a s E x c u s e M y D e a r A u n t S a l y

5. Parentheses The first step of the order of operations is parentheses.
Ex. (3 x 6) = 18
Ex. (3 x 6) + 2 = 20 á
= 20

6. Exponents The second step of the order of operations is exponents.á
52 = 25
Ex. 3 + (3 + 2)2 = 28 á
= 28

7. Multiplication
The third step of the order of operations is multiplication.
Ex. 6 x 4 = 24
Ex. (3-2)2 x 4 = 4 á
1 x 4 = 4

8. Division The fourth step of the order of operations is division.
Ex. 8 ÷ 2 = 4
Ex. 8 ÷ 2 + (3 x 6) = 22 á
= 22

9. Addition The fifth step of the order of operations is addition.
Ex = 9
Ex ÷ 2 = 4 á
3 + 2 = 4

10. Subtraction The last step of the order of operations is subtraction.
Ex. 16 – 4 = 12
Ex. 18 – (2 + 2)2 = 2 á
= 2

11. -$1.24
-3.4 53
+$90
Integers +4
-21

12. Integers
Integers are all of the positive and negative whole numbers.
There are no fractions or decimals that are integers.
….. -3, -2, -1, , , 2, 3 …
Negative Direction
Positive Direction

13. Positive Integers Are to the right of zero
Are valued greater than zero.
Express ideas of up, a gain above, or a profit.
The sign for a positive integer is (+), however the sign is not always needed.
Meaning +4 is the same value as 4.

14. Negative Integers Are to the left of zero Are valued less than zero.
Express ideas of down, below, or a loss.
The sign for a negative integer is (-). This sign is always needed.

15. Graphing Integers on a number line
Draw a number line
Graph an Integer by drawing a dot at the point that represents the integer.
Example: -6, -2, and 3

16. Graphing Integers on a number line
Graph -7, 0, and 5
Graph -4, -1, and 1

17. Order Integers from Least to Greatest
You need to know which numbers are bigger or smaller than others, so we need to order them from least to greatest.
Example:
Order the integers -4, 0, 5, -2, 3, -3 from least to greatest.
The order is -4, -3, -2, 0, 3, 5.

18. Order Integers from least to greatest
Order the integers 4,-2,-5,0,2,-1 from least to greatest.
Order the integers 3,4,-2,-5,1,-7 from least to greatest.

19. Absolute Value Absolute value of a number is the DISTANCE to ZERO.
Distance cannot be negative, so the absolute value cannot be negative.

20. Absolute Value Evaluate the absolute value:
Ask yourself, how far is the number from zero?
| -4 | =
| 3 | =
| -9 | =
| | =

21. Opposites
Two numbers that have the same ABSOLUTE VALUE, but different signs are called opposites.
Example -6 and 6 are opposites because both are 6 units away from zero.
| -6 | = and | 6 | = 6

22. Opposites
What is the opposite?
-10
-35 12
100 1 X

23. Using Absolute Value in Real Life
The graph shows the position of a diver relative to sea level. Use absolute value to find the diver’s distance from the surface.

24. Math Workbook: Vol. 1 Open to pg. 190 Complete pg. 190
On pg. 3 LS of your notebook draw the graphic organizer and complete.
Complete pg
We will complete pg. 194 together
Tear out 193 and tape it into pg. 4 LS of your notebook.
Complete 195 – 198.
Tear out 195 and tape it into pg. 5 LS of notebook