1. Classifying Numbers
Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers

2. Whole numbers consist of any positive number which does not have fractional parts. This set also includes zero.
0, 1, 2, 3, 4, 5, 6, 7, …
Fractions
Mixed Numbers
Negative Numbers

3. Integers are whole numbers both positive and negative
Integers are whole numbers both positive and negative. This set also includes zero.
…, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …
Fractions
Mixed Numbers

4. Notice that the set of whole numbers is included in the set of integers.

5. Rational numbers include all integers as well as terminating & repeating decimals, fractions, and mixed number.
…, -3,-2.75, -2, -1, 0, ½, .7, 1, 2, 3, 3.5 …
Nonterminating, nonrepeating decimals

6. What isn’t a rational number

7. These numbers are irrational
These numbers are irrational. They are nonrepeating, nonterminating decimals.
= …
= …
Note: These are square roots of non-perfect squares.
= …

8. Rational numbers include both integers and whole numbers.
Rationals
Integers
Whole Numbers

9. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 2) -4 3) ) .3 5) 25 6) -2½

10. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational 2) -4 3) ) .3 5) 25 6) -2½

11. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational 2) -4 integer, rational 3) ) .3 5) 25 6) -2½

12. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational 2) -4 integer, rational 3) 2.75 rational 4) .3 5) 25 6) -2½

13. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational 2) -4 integer, rational 3) 2.75 rational 4) .3 rational 5) 25 6) -2½

14. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational 2) -4 integer, rational 3) 2.75 rational 4) .3 rational 5) 25 whole, integer, rational 6) -2½

15. Classify each number as whole, integer, or rational
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) 0.7 rational 2) -4 integer, rational 3) 2.75 rational 4) 0.3 rational 5) 25 whole, integer, rational 6) -2½ rational

16. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
Whole Numbers

17. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers -5
Whole Numbers

18. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 -5
Whole Numbers

19. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 -5
Whole Numbers

20. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 -5
Whole Numbers
6/1

21. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 -5
Whole Numbers
6/1

22. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 14 -5
Whole Numbers
6/1

23. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 14 -5
Whole Numbers
6/1
-4 ¾

24. Rationals Integers Whole Numbers
Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0
Rationals
Integers
2.6 14 -5
4.0
Whole Numbers
6/1
-4 ¾

25. The set of rational numbers and irrational numbers comprise the set of real numbers.
Rationals
Irrationals
Integers
Whole Numbers

26. Decide whether each number is rational or irrational.
1) 2) 3) ) 5) … 6) ) )

27. Decide whether each number is rational or irrational.

28. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) ) 5) … 6) ) )

29. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) 5) … 6) ) )

30. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … 6) ) )

31. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) ) )

32. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) )

33. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) irrational 8)

34. Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) irrational 8) irrational

35. What isn’t a real number

36. These “numbers” are NOT real numbers.
You cannot find the square root of a negative number.
You cannot divide by zero.

37. Classify each number as real or not real.
1) 2) 3) 4) 5)

38. Classify each number as real or not real.

39. Classify each number as real or not real.
1) Not real 2) Real 3) 4) 5)

40. Classify each number as real or not real.
1) Not real 2) Real 3) Real 4) 5)

41. Classify each number as real or not real.
1) Not real 2) Real 3) Real 4) Not real 5)

42. Classify each number as real or not real.
1) Not real 2) Real 3) Real 4) Not real 5) Not real

43. Whole Numbers

44. Integers

45. Rational Numbers

46. Irrational Numbers π

47. + REAL NUMBERS = Rational Numbers Irrational Numbers π -3 -2 -1 -.75 +
Irrational Numbers π

48. Give 2 examples of each kind of number.
Real Numbers
Numbers that are NOT real.
Rationals
Integers
Irrationals
Whole Numbers