the real number system -13 o, 1, 2, 3… 1/2 0.333 π
TRANSCRIPT
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The Real Number System
-13 O, 1, 2, 3…
1/2
0.333
π
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Natural NumbersNatural Numbers
1 2 3 4 5 6 7 8 9 10 . . .
Also call COUNTING COUNTING NUMBERSNUMBERS
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WHOLE NUMBERSWHOLE NUMBERS
1 2 3 4 5 6 7 8 9 10 …… 00
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Natural Natural NumbersNumbers
WHOLE NUMBERSWHOLE NUMBERS
1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 7. . . .6, 7. . . .
OO, 1, 2, 3, 4, 5, 6, 7 . . . .
The Real Number SystemThe Real Number System
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INTEGERS
OO 1 2 3 4 5 1 2 3 4 5
6 7. . . 6 7. . . -7 –6 –5 –4 –3 –-7 –6 –5 –4 –3 –2 –1 2 –1
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Natural NumbersNatural Numbers
WHOLE NUMBERSWHOLE NUMBERS
1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 7. . . .6, 7. . . .
OO, 1, 2, 3, 4, 5, 6, 7 . . . .
The Real Number SystemThe Real Number System
INTEGERS
-7, -6, -5, -4, -3, -2, -1,-7, -6, -5, -4, -3, -2, -1, O O, 1, 2, 3, 4, 5, 6, 7 . . . .
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RATIONAL NUMBERSRATIONAL NUMBERS
0 1 2-1-2-2.33
-3½
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RATIONAL NUMBERSRATIONAL NUMBERSincludeinclude
•½, ¾ Fractions
• 0.3333… Repeating Decimals
• .5, .12 Terminating decimals
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Natural NumbersNatural Numbers
WHOLE NUMBERSWHOLE NUMBERS
1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 7. . . .6, 7. . . .
OO, 1, 2, 3, 4, 5, 6, 7 . . . .
The Real Number SystemThe Real Number System
Rational Numbers
-7, -6, -5, -4, -3, -2, -1,-7, -6, -5, -4, -3, -2, -1, O O, 1, 2, 3, 4, 5, 6, 7 . . . .
INTEGERS
. . -4,. . -4, -3 -3¼¼,, -3, -2, -3, -2, 0.50.5 -1, -1, O O, 1, ½, 2, 2.33, 3, 4. .
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Irrational NumbersIrrational Numbers
o
Don’t Behave like the other Subsets
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IRRATIONAL NUMBERSIRRATIONAL NUMBERSincludeinclude
• Pi or π 3.141592653589753……..
• Non-repeating non terminating decimals1.21211211121111211111….
• Square roots that are not “Perfect Squares” √17
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WHOLE NUMBERS
O, 1, 2, 3, 4. . .
INTEGERS
. . . -5, -4, -3, -3, -2, -1, 0, 1, 2, 3, 4, 5 . . .
2.34526765…IRRATIONAL IRRATIONAL NUMBERSNUMBERS
π √99
NATURAL NUMBERS
1, 2, 3….
REAL NUMBER SYSTEM
RATIONAL NUMBERS
. . . -3, -2.5, -2, -1, 0, 1, ½, 2, 2.33. . .