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19 Cards in this Set
- Front
- Back
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Natural Numbers
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1,2,3...
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Whole Numbers
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0,1,2,3,...
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Integers
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-3, -2, -1, 0, 1, 2, 3...
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Rational Numbers
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All integers + fractions
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Irrational Numbers
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(ex: pie, square root)
Seperate circle to Natural, Whole Integers, Rational. |
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Real Numbers
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All numbers (no imaginary)
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Closure
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A+B is a real number(addition)
AxB is a real number(multipication) |
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Commutative
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a+b=b+a
axb=bxa |
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Associative
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(a+b)+c=a+(b+c)
(axb)xc=ax(bxc) |
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Identity
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a+o=a=0+a
ax1=a=1xa |
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Inverse
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a+(-a)=0=(-a)+a
a(1/a)=1=(1/a)a a cannot =0 |
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Distributive
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a(b+c)=ab+ac (Left)
(a+b)c=ac+bc (Right) |
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Reflexive
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a=a
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Symmetric
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If a=b then b=a
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Transitive
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If a=b and b=c then a=c
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Substitution Principle
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If a=b then a can be replace by b in any expression involving a
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Addition/Subtraction
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If a=b then a+c=b+c
If a=b then a-c=b-c |
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Multiplication/Division
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a=b then ac=bc
if a=b then a/c=b/c c cannot = 0 |
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Cancellation
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If a+c=b+c then a=b
If ac=bc and c isnt 0 then a=b |
