Properties for Final 2
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13 terms
English | Chemistry |
|---|---|
 closure | any calculation that doesn't have a property name; the calculation is usually something assumed in math ex) 5+6=11 |
| commutative property( of addition and multiplication) | the order doesn't matter ex) a+b=b+a ex) ab=ba |
| associative property( of addition and multiplication) | the parenthesis can be moved around ex) (a+b)+c= a+(b+c) ex) (ab)c=a(bc) |
| identity property of addition | any number added to zero is the same number ex) a+0=a |
| identity of multiplication | any number multiplied by one is itself ex) a(1)=a |
| inverse property of addition | when opposites are added, the result is zero ex) a+(-a)=0 |
| inverse property of multiplication | when reciprocals are multiplied, the result is one ex) (a/b)(b/a)=1 |
| distributive property | ex) a(b+c)= ab+ac |
| (addition and multiplication )axiom of equality | whatever you do to the right, you have to do to the left ex) a+c=b→a=b-c ex) x/2=a→x=2a |
| substitution | ex) if a=2, then 3a is equal to 6 |
| factoring | ex) a²+2ax+x²=(a+x)² |
| Division Rule | ex) x/2= x(1/2) |
| Property of Opposites | ex) (-1)(x)=₋x ex) (-1)(-x)=x ex) 16(-1)=-16 |
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