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# The Real Number System

0.333. π. The Real Number System. O, 1, 2, 3…. -13. 1/2. Natural Numbers. 1 2 3 4 5 6 7 8 9 10. Also call COUNTING NUMBERS. WHOLE NUMBERS. 0. 1 2 3 4 5 6 7 8 9 10 ……. The Real Number System. WHOLE NUMBERS. O , 1, 2, 3, 4, 5, 6, 7. Natural Numbers.

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## The Real Number System

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1. 0.333 π The Real Number System O, 1, 2, 3… -13 1/2

2. Natural Numbers 1 2 3 4 5 6 7 8 9 10 . . . Also call COUNTING NUMBERS

3. WHOLE NUMBERS 0 1 2 3 4 5 6 7 8 9 10 ……

4. The Real Number System WHOLE NUMBERS • O, 1, 2, 3, 4, 5, 6, 7 . . . . Natural Numbers 1, 2, 3, 4, 5, 6, 7. . . .

5. INTEGERS 1 2 3 4 5 6 7. . . -7 –6 –5 –4 –3 –2 –1 O

6. The Real Number System INTEGERS • -7, -6, -5, -4, -3, -2, -1, O, 1, 2, 3, 4, 5, 6, 7 . . . . WHOLE NUMBERS • O, 1, 2, 3, 4, 5, 6, 7 . . . . Natural Numbers 1, 2, 3, 4, 5, 6, 7. . . .

7. RATIONAL NUMBERS ½ -2.33 -2 -1 0 -3 1 2

8. RATIONAL NUMBERSinclude • ½, ¾ Fractions • 0.3333… Repeating Decimals • .5, .12 Terminating decimals

9. The Real Number System Rational Numbers • . . -4, -3¼, -3, -2, 0.5 -1, O, 1, ½, 2, 2.33, 3, 4. . INTEGERS • -7, -6, -5, -4, -3, -2, -1, O, 1, 2, 3, 4, 5, 6, 7 . . . . WHOLE NUMBERS • O, 1, 2, 3, 4, 5, 6, 7 . . . . Natural Numbers 1, 2, 3, 4, 5, 6, 7. . . .

10. Irrational Numbers o Don’t Behave like the other Subsets

11. IRRATIONAL NUMBERSinclude • Pi or π 3.141592653589753…….. • Non-repeating non terminating decimals 1.21211211121111211111…. • Square roots that are not “Perfect Squares” √17

12. 2.34526765… IRRATIONAL NUMBERS π √99 RATIONAL NUMBERS . . . -3, -2.5, -2, -1, 0, 1, ½, 2, 2.33. . . INTEGERS . . . -5, -4, -3, -3, -2, -1, 0, 1, 2, 3, 4, 5 . . . WHOLE NUMBERS O, 1, 2, 3, 4. . . NATURAL NUMBERS 1, 2, 3…. REAL NUMBER SYSTEM

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