## Algebra CH.1

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pvanderwolk13  on September 11, 2011

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# Algebra CH.1

 natural numbers1,2,3...
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#### 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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pvanderwolk13