REAL NUMBERS
Rational Numbers (Q)
Irrational Numbers
Integers (Z)
Whole Numbers (W)
Natural Numbers (N)
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Natural Numbers﴾N﴿: ** counting numbers from 1,2,3,4,5,................
N = {1,2,3,4,5,................}
Whole Numbers ﴾W﴿: ** natural numbers including zero. They are 0,1,2,3,4,5,...............
W = {0,1,2,3,4,5,..............} Integers ﴾Z﴿: ** Whole Numbers together with negative numbers. ** the positive numbers, 1, 2, 3, 4, ...., and negative numbers,............­3, ­2, ­1, together with zero.
** Zero is neither positive nor negative, but is both. Z = {..., ­3, ­2, ­1, 0, 1, 2, 3, .....}
Rational Numbers ﴾Q﴿:
• All numbers of the form , where a and b are integers ﴾but b cannot be zero﴿ ** numbers that can be written as a fraction and/or a decimal that repeats or terminates
examples: 2, ½, ­¾, 0.5, 0.33
Irrational Numbers: • Cannot be expressed as a fraction. • As decimals they never repeat or terminate ﴾rationals always do one or the other﴿ ** They go on forever
examples: √3, π, √5
Real Numbers ﴾R﴿: ** every number, irrational or rational. 2
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REAL NUMBERS
0.45
Irrational Numbers
Rational Numbers (Q)
5.12
5/4
Integers (Z)
­9
7
Whole Numbers (W)
0
π
Natural Numbers (N)
9
2/3
5
3.1415926535...
4.5
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Circle the set(s) of numbers that each example falls into:
1 Rational Integers Whole Natural Irrational
½ Rational Integers Whole Natural Irrational
0.4567893486…. Rational Integers Whole Natural Irrational
‐4.5 Rational Integers Whole Natural Irrational
√4 Rational Integers Whole Natural Irrational
∏ Rational Integers Whole Natural Irrational
‐3 Rational Integers Whole Natural Irrational
√10 Rational Integers Whole Natural Irrational
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Order of Operations: Evaluate Each Expression
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