click below
click below
Normal Size Small Size show me how
14 Properties
Question | Answer |
---|---|
Commutative | 5+2=2+5 or ab=ba |
Additive Inverse | 7+(-3)=7-3 or a-b=a+(-b) |
Associative Property/Grouping Property | (8+2)+3=8+(2+3) or (ab) c=a (bc) |
Additive identity | 6+0=6 or abc+0=abc |
Multiplicative Identity | 3*1 =3 or xyz*1 =xyz |
Multiplicative Property of Zero | 7*0 =0 or ab*0 =0 |
Distributive | 5(6+2) = 5(6) + 5(2) or x(y-z) = xy - xz |
Comparison Property | given two numbers, x and y, either x >y, x <y, or x=y |
Density Property | The number line is forever dense. Given any two numbers x and y there is always a number between them. |
Reflexive | 8 = 8 or 2a +7= 2a+7. Anytime you check an equation you are seeking a true statement. |
Symmetric | If 3+8 =11 then 11= 3+8. or if a+b =c then c= a+b |
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 |
Transitive Property of Order | If a >b and b >c then a >c |
Substitution Property | Given (7-3) +5= 4+5. or Given a =b, then b may be substituted for a. |