1. Integers: Comparing and Ordering

2. EQ
How do we compare and order rational numbers?

3. Rational Numbers

4. Rational numbers Numbers that can be written as a fraction.
Example: 2 = 2 = 2 ÷ 1 = 2 1

5. Whole Numbers Positive numbers that are not fractions or decimals.

6. Integers The set of whole numbers and their opposites.
Notes!
The set of whole numbers and their opposites.

7. Positive Integers
Notes!
Integers greater than zero.

8. Negative Integers
Notes!
Integers less than zero.

9. Comparing Integers
Notes!
The further a number is to the right on the number line, the greater it’s value.
Ex: -3 ___ -1
< . .
-1 is on the right of -3, so it is the greatest.

10. Comparing Integers
The farther a number is to the right on the number line, the greater it’s value.
Ex: 2 ___ -5
> . .
2 is on the right of -5, so it is the greatest.

11. Comparing Integers
The farther a number is to the right on the number line, the greater it’s value.
Ex: 0 ___ -2
> . .
0 is on the right of -2, so it is the greatest.

12. Ordering Integers
Notes!
When ordering integers from least to greatest follow the order on the number line from left to right.
Ex: 4, -5, 0, 2 . . . .
Least to greatest: -5, 0, 2, 4

13. Ordering Integers
Notes!
When ordering integers from greatest to least follow the order on the number line from right to left.
Ex: -4, 3, 0, -1 . . . .
Greatest to least: 3, 0, -1, -4

14. Try This: a. -13 ___ 4 b. -4 ___ -7 c. -156 ___ 32
On your notes.
<
a. -13 ___ 4
b. -4 ___ -7
<
c ___ 32
<
d. Order from least to greatest:
15, -9, -3, 5 _______________
-9, -3, 5, 15
e. Order from greatest to least:
-16, -7, -8, 2 _______________
2, -7, -8, -16

15. EQ
How do we find the absolute value of a number?

16. Absolute Value The distance a number is from zero on the number line.
Notes!
The distance a number is from zero on the number line.
Symbols: |2| = the absolute value of 2
Start at 0, count the jumps to 2.
It takes two jumps from 0 to 2.
|2| = 2

17. Absolute Value The distance a number is from zero on the number line.
Ex: |-4| =
Start at 0, count the jumps to -4.
It takes four jumps from 0 to -4.
|-4| = 4

18. Solving Problems with Absolute Value
Notes!
When there is an operation inside the absolute value symbols; solve the problem first, then take the absolute value of the answer.
Ex: |3+4| =
|7| = 7
Ex: |3|- 2 =
3-2 = 1
Hint: They are kind of like parentheses – do them first!

19. Try This: 15 12 13 8 |15| = _____ b. |-12| = _____ c. |-9| + 4 = _____
On your notes.
|15| = _____
b. |-12| = _____
c. |-9| + 4 = _____
d. |13 - 5| = _____ 15 12 13 8