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College Algebra & Trig Ch. 1 Terms
from Swokowski & Cole textbook
15
Mathematics
Undergraduate 1
02/01/2011

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Term
rational number
Definition
a real number that can be expressed in the form a/b, where a and b are integers and b is not equal to zero
Term
irrational numbers
Definition
real numbers that are not rational. they do not terminate or repeat in decimal form.
Term
commutative property of addition
Definition
a+b=b+a
order is immaterial when adding two numbers
Term
associative property of addition
Definition
a+(b+c)=(a+b)+c
grouping is immaterial when adding three numbers
Term
additive identity (0)
Definition
a+0=a
Term
additive inverse
Definition
a+(-a)=0
Term
commutative property of multiplication
Definition
ab=ba
order is immaterial when multiplying two numbers
Term
associative property of multiplication
Definition
a(bc)=(ab)c
grouping is immaterial when multiplying three numbers
Term
multiplicative identity (1)
Definition
a(1)=a
Term
multiplicative inverse/reciprocal
Definition
a(1/a)=1
multiplying a nonzero by is reciprocal yields 1
Term
distributive property of multiplication
Definition
a(b+c)=ab+ac
&
(a+b)c=ac+bc
Term
factoring
Definition
the process of expressing a sum in terms as a product
Term
fractional expression
Definition
is a quotient of two algebraic expressions
Term
rational expression
Definition
special case of a fractional expression

when the quotient of p/q of two polynomials p and q
Term
complex fraction
Definition
a quotient in which the numerator and/or the denominator is a fractional expression
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