Algebra CH.1
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Created by:
pvanderwolk13 on September 11, 2011
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21 terms
Terms | Definitions |
|---|---|
natural numbers | 1,2,3... |
whole numbers | 0,1,2,3... |
integers | -1,0,1 |
rational numbers | numbers that result when an integer is divided by a nonzero integer |
irrational numbers | numbers that aren't rational/ uneven when square-rooted |
absolute value | the distance between the graph of the number and the origin on a numberline |
domain | the given set of a variable |
reflexive property | a=a |
symmetric property | if a=b, then b=a |
transitive property | if a=b and b=c, then a=c |
addition property | if a=b, then a+c=b+c and c+a=c+b |
multiplication property | if a=b, then ac=bc and ca=cb |
closure properties | a+b and ab= unique, real numbers |
commutative properties | a+b=b+a; ab=ba |
associative properties | (a+b)+c=a+ (b+c); (ab)c=a(bc) |
identity | a+0=a, a1=a |
inverse property (property of opposites) | a+(-a)=0 |
inverse property (property of reciprocals) | ax 1/a=1 |
distributive property | a (b+c)= ab+ac |
property of the opposite of a product | -ab= (-a)b |
property of the opposite of a sum | -(a+b)=-a+-b |
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