1. Chapter 2-1 Integers and Absolute Values

2. 0 +1+2+3+4+5-5-4-3-2 Here is a number line.

3. An integer is any number on a number line.

4. 0 +1+2+3+4+5-5-4-3-2 Positive integers are integers greater than 0. They can be written without + sign.

5. 0 +1+2+3+4+5-5-4-3-2 Negative integers are integers less than 0. They are written with a - sign.

6. 0 +1+2+3+4+5-5-4-3-2 Zero is neither negative nor positive.

7. So, basically, any number I can imagine is an integer? Like 3? -3? 150? -150? 350 million billion gazillion????? If it’s on the number line, it is an integer.

8. Here are some real-world examples…

9. Let’s write an integer for each situation. Weather: 5 degrees below Because this weather is below normal, the integer is written as -5.

10. Let’s write an integer for each situation. Rainfall: 5 inches above normal Because this rainfall is above normal, the integer is written as +5 or just 5.

11. Let’s write an integer for each situation. Banking: a deposit of $23 Because deposit is adding an amount to your bank account, it is +23 or just 23.

12. You can also graph integers on a number line.

13. 0 +1+2+3+4+5-5-4-3-2 Graph this set on a number line. (-4, -2, 0, 5).... Just draw a point (or a dot) on the location of the integer. That’s all!

14. 0 +1+2+3+4+5-5-4-3-2 Graph this set on a number line. (-5, -1, 3)... You get the point, right? Pun totally intended.

15. Hey, have you noticed that -5 and 5 are each 5 units (spaces) from 0?

16. 0 +1+2+3+4+5-5-4-3-2 -5 and 5 are both 5 spaces away from 0. They have the same absolute value.

17. Absolute value of a number is the distance between the number and 0 on a number line.

18. And it’s written like this…

19. 0 +1+2+3+4+5-5-4-3-2 5 units -5 = 5 5 = 5

20. -5 = 55 = 5 This means that the absolute value of both -5 and 5 are 5 (distance from 0).

21. 0 +1+2+3+4+5-5-4-3-2 -4 = 4 Let’s try this one… 4 units

22. So…basically…

23. -560560= 2010 = -256,487 = 256,487 OK…I get it, I get it!

24. Now, you can even do this…

25. = -12 + 4 12 + 4 =16 -5 - 5 - 1 = =4 2 + -3 -7 - 5 = = 2 + 37 - 5 =5 =2

26. Good job!