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Math 098
Chapter 1
14
Mathematics
Undergraduate 2
01/07/2010

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Term
A Set
Definition
A collection of objects or numbers
Term
Real Numbers
Definition
The Set of numbers that can be located with a point on the number line
Term
Rational numbers
Definition
can be written a/b, where a and b are integers and b is not zero.
Term
Whole Numbers
Definition
Add zero to the set of natural numbers for counting. 0,1,2,3,...
Term
Natural Numbers
Definition
The set containing the numbers for counting. 1,2,3,...
Term
Integers
Definition
Zero, the natural numbers, and their opposites. -3,-2,-1,0,1,2,3,...
Term
Irrational Numbers
Definition
The set of real numbers that cannot be written as rational numbers. Pi, sqrt(2), sqrt(3), sqrt(5)
Term
Principal Square Root
Definition
The positive (or zero) real number that, when multiplied by itself, gives the radicand, X. sqrt(3) x sqrt(3) = 3
Term
Undefined
Definition
Has no meaning. Like the square root of a negative number.
Term
Associative Property for Addition
Definition
a + (b + c) = (a + b) + c
2 + (3 + 4) = (2 + 3) + 4
Term
Associative Property for Multiplication
Definition
a x (b x c) = (a x b) x c
3 x (4 x 5) = (3 x 4) x 5
Term
Commutative Property for Addition
Definition
a + b = b + a
6 + 8 = 8 + 6
Term
Commutative Property for Multiplication
Definition
a x b = b x a
6 x 8 = 8 x 6
Term
Distributive Property of Multiplication Over Addition
Definition
a(b + c) = ab + ac
3(4 + 5) = 3 x 4 + 3 X 5
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