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

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Presentation on theme: "Classifying Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers."— Presentation transcript:

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

2 Natural numbers consist of any positive number which does not have fractional parts. This set does not include zero. 1, 2, 3, 4, 5, 6, 7, … FractionsMixed Numbers Negative Numbers

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

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

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 … FractionsMixed Numbers Negative Numbers

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

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

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

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

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

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

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

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

14 What isn’t a rational number

15 These numbers are irrational. They are nonrepeating, nonterminating decimals. = 3.141592653… = 1.414213562… = 2.23606797… Note: These are square roots of non-perfect squares.

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

17 Decide whether each number is rational or irrational. 1) 2) 3) -6 4) 5) 2.4545454545… 6) 7.25 7) 8)

18 Decide whether each number is rational or irrational. 1) rational 2) 3) -6 4) 5) 2.4545454545… 6) 7.25 7) 8)

19 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 4) 5) 2.4545454545… 6) 7.25 7) 8)

20 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) 5) 2.4545454545… 6) 7.25 7) 8)

21 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) rational 5) 2.4545454545… 6) 7.25 7) 8)

22 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) rational 5) 2.4545454545… rational 6) 7.25 7) 8)

23 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) rational 5) 2.4545454545… rational 6) 7.25 rational 7) 8)

24 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) rational 5) 2.4545454545… rational 6) 7.25 rational 7) irrational 8)

25 Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) rational 5) 2.4545454545… rational 6) 7.25 rational 7) irrational 8) irrational

26 Integers Rationals Whole Irrationals Real Numbers Numbers that are NOT real. Natural


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