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Chapter 2-1 Integers and Absolute Values

Chapter 2-1 Integers and Absolute Values. 0. -5. -4. -3. -2. -1. +1. +2. +3. +4. +5. Here is a number line. An integer is any number on a number line. 0. -5. -4. -3. -2. -1. +1. +2. +3. +4. +5.

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Chapter 2-1 Integers and Absolute Values

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  1. Chapter 2-1Integers and Absolute Values

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

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

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

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

  6. 0 -5 -4 -3 -2 -1 +1 +2 +3 +4 +5 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. Graph this set on a number line. (-4, -2, 0, 5) . . . . 0 -5 -4 -3 -2 -1 +1 +2 +3 +4 +5 Just draw a point (or a dot) on the location of the integer. That’s all!

  14. Graph this set on a number line. (-5, -1, 3) . . . 0 -5 -4 -3 -2 -1 +1 +2 +3 +4 +5 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 -5 -4 -3 -2 -1 +1 +2 +3 +4 +5 -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 -5 -4 -3 -2 -1 +1 +2 +3 +4 +5 5 = 5 -5 = 5 5 units 5 units

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

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

  22. So…basically…

  23. -560 = 560 = 2010 2010 = -256,487 256,487 OK…I get it, I get it!

  24. Now, you can even do this…

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

  26. Good job!

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