The document discusses different types of numbers including integers, rational numbers, irrational numbers, and real numbers. It defines integers as positive or negative whole numbers with no decimals or fractions. It explains how to compare and order integers based on their value, with more negative numbers being less than more positive numbers. The document also introduces absolute value and describes it as indicating how far away a number is from zero.

1. Understanding Integers- What integers are - How we compare and order integers….- Absolute Value

2. Real NumbersPrime1,3,5,7,11Composite2,4,6,8,9,10

3. Real NumbersNatural Numbers 1,2,3,4,5Prime1,3,5,7,11Composite2,4,6,8,9,10

4. Real NumbersWhole Numbers 0,1,2,3,4,5Natural Numbers 1,2,3,4,5Prime1,3,5,7,11Composite2,4,6,8,9,10

5. Real NumbersIntegers -3,-2,-1,0,1,2,3Whole Numbers 0,1,2,3,4,5Natural Numbers 1,2,3,4,5Prime1,3,5,7,11Composite2,4,6,8,9,10

6. Real NumbersTerminating Decimals - 1.1, 1.2, -1.1, 1.2Repeating Decimals - 1.2323, -1.2323Fractions - 3/4, -3/4 Integers -3,-2,-1,0,1,2,3Whole Numbers 0,1,2,3,4,5Natural Numbers 1,2,3,4,5Prime1,3,5,7,11Composite2,4,6,8,9,10

7. Real NumbersRational NumbersIrrational NumbersNon-Terminating and Non-Repeating Decimals∞5.12323223012Terminating Decimals - 1.1, 1.2, -1.1, 1.2Repeating Decimals - 1.2323, -1.2323Fractions - 3/4, -3/4 Integers -3,-2,-1,0,1,2,3Whole Numbers 0,1,2,3,4,5Natural Numbers 1,2,3,4,5Prime1,3,5,7,11Composite2,4,6,8,9,10

8. Not IntegersIntegers5.6-5.62.3-2.35/6-5/6¾-3/4

9. Not IntegersIntegers5.6-5.62.3-2.35/6-5/6¾-3/4Whole Numbers NOT Whole Numbers

10. Not IntegersIntegersThe red arrows point to Negative Rational Numbers5.6-5.62.3-2.35/6-5/6¾-3/4Whole Numbers NOT Whole Numbers

11. Not IntegersIntegersThe green arrows point to Positive Rational Numbers5.6-5.62.3-2.35/6-5/6¾-3/4Whole Numbers NOT Whole Numbers

12. How can we define an Integer?Any positive or negative number that is a WHOLE part or piece … NO decimals… NO fractions

13. Ponder this…. Is any positive and or negative number also an integer? Why or Why not?

14. Ponder this…. Is any positive and or negative number also an integer? Why or Why not?1. Can I turn it into a fraction?2. Is it a whole number?

15. Ponder this…. Is any positive and or negative number also an integer? Why or Why not?1. Can I turn it into a fraction?2. Is it a whole number?

16. How do we classify integers?

17. How do we compare and order integers?

18. How do we compare and order integers? Would you rather have $2 or $-2????

19. How do we compare and order integers? Would you rather have $2 or $-2????

20. Less Value More Value Less Value More Value

21. Where do 2 and -3 belong? 0

22. Where do 2 and -3 belong? 02-3

23. Order the numbers least to greatest?

24. Order the numbers least to greatest? Which number is the least? (smallest value)-11 or -18

25. Order the numbers least to greatest? Which number is the least? (smallest value)-11 or -18

26. Order the numbers least to greatest? Which number is the least? (smallest value)-11 or -18-18, -16, -13, -12, -11

27. Absolute Value

28. Absolute ValueTells us how far away is zero Absolute Value Examples

29. I learned….What integers areHow we compare and order integersAbsolute Value

30. Sources CitedAll images taken from www.google.com/images