14 Properties
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Commutative | 5+2=2+5 or
ab=ba
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| Additive Inverse | 7+(-3)=7-3 or
a-b=a+(-b)
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| Associative Property/Grouping Property | (8+2)+3=8+(2+3) or
(ab) c=a (bc)
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| Additive identity | 6+0=6 or
abc+0=abc
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| Multiplicative Identity | 3*1 =3 or
xyz*1 =xyz
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| Multiplicative Property of Zero | 7*0 =0 or
ab*0 =0
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| Distributive | 5(6+2) = 5(6) + 5(2) or
x(y-z) = xy - xz
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| Comparison Property | given two numbers, x and y, either x >y, x <y, or x=y
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| Density Property | The number line is forever dense. Given any two numbers x and y there is always a number between them.
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| Reflexive | 8 = 8 or 2a +7= 2a+7.
Anytime you check an equation you are seeking a true statement.
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| Symmetric | If 3+8 =11 then 11= 3+8. or
if a+b =c then c= a+b
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| Transitive Property of Equality | If 5*2 =10 and 7+3 =10 then 5*2 = 7+3. or
if a=b and b=c then a=c
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| Transitive Property of Order | If a >b and b >c then a >c
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| Substitution Property | Given (7-3) +5= 4+5. or
Given a =b, then b may be substituted for a.
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Created by:
c.zervigon
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