1. Algebra 1 Notes: Lesson 2-1 Rational Numbers on the Number Line

2. Vocabulary
Natural Numbers

3. Vocabulary
Natural Numbers {1, 2, 3, …}
Whole Numbers

4. Vocabulary Natural Numbers {1, 2, 3, …} Whole Numbers {0, 1, 2, 3, …}
Integers

5. Vocabulary Natural Numbers {1, 2, 3, …} Whole Numbers {0, 1, 2, 3, …}
Integers {…, -2, -1, 0, 1, 2, …}

6. Rational Numbers Anything that CAN be written as a fraction. Integers
Fractions
Decimals

7. Example 1
Name the coordinates of the points graphed on the number line.
{-7, 1, 6}

8. Example 2
Name the coordinates of the points graphed on the number line.
{8, 9, 10, …}

9. Example 3 Graph the following set of numbers on a number line:
{integers less than -6 or greater than or equal to 1}

10. Example 3 Graph the following set of numbers on a number line.
{integers less than -6 or greater than or equal to 1}

11. Example 3 Graph the following set of numbers on a number line.
{integers less than -6 or greater than or equal to 1}

12. Example 3 Graph the following set of numbers on a number line.
{integers less than -6 or greater than or equal to 1}

13. Example 3 Graph the following set of numbers on a number line.
{integers less than -6 or greater than or equal to 1}

14. Vocabulary
Absolute Value

15. Vocabulary
Absolute Value
Distance from 0

16. Example 4
Find each absolute value.
|0.25|
0.25
b) |-¾|

17. Example 5
Evaluate:
|y – 8| + 5 if y = 12
|12 – 8| + 5

18. Example 5
Evaluate:
|y – 8| + 5 if y = 12
|12 – 8| + 5
|4| + 5

19. Example 5
Evaluate:
|y – 8| + 5 if y = 12
|12 – 8| + 5
|4| + 5
4 + 5

20. Example 5
Evaluate:
|y – 8| + 5 if y = 12
|12 – 8| + 5
|4| + 5
4 + 5 9

21. Example 5
Evaluate:
|y – 8| + 5 if y = 12
|12 – 8| + 5
|4| + 5
4 + 5 9

22. Try on your own
|2 - x| x = 5

23. Try on your own
|2 - x| - 7 x = 5 Can it be negative???

24. Assignment
Pg. 71:
18-56 (even)
and 57