# Shared Flashcard Set

## Details

Vocabulary for Introductory to Algebra
Terms for PCC's Math 60
26
Mathematics
06/28/2010

Term
 Variable
Definition
 A letter that represents a number.   4x   x is the variable.
Term
 Product
Definition
 The solution to a multipulcation problem.
Term
 Quotient
Definition
 The answer to a division problem.
Term
 Dividend
Definition
 The number to be divided.   Ex: 6 divided by 3   6 is the dividend.
Term
 Divisor
Definition
 The number being used to divide another number.   Ex: 6 divided by 3   3 is the divisor
Term
 Factor
Definition
 Facor a number by writing it as two or more numbers to be multiplied. 21 can be factored as 7x3.
Term
 Prime Number
Definition
 A natural number greater than 1 that has only itself and 1 as its factors.   In other words, it can't be divided by anything other than 1 and still get an answer of a whole number.   (Ex: 2, 3, 5, 7, 11, 13, 17, 19...)
Term
 Composite Number
Definition
 A natural number greater than 1 that is not a prime number.
Term
 Prime Factorization
Definition
 To express a composite number as the product of prime numbers.   Ex. 45 = 3 x 3 x 5   45 is a composite number. 3 and 5 are prime numbers.
Term
 Reciprocal
Definition
 A reciprocal is a flipped fraction. 1/10 and 10/1 are reciprocals of each other.
Term
 Natural numbers
Definition
 Numbers used for counting. 1, 2, 3, ....
Term
 Whole Numbers
Definition
 0 and natural numbers (counting numbers)   0, 1, 2, 3,...
Term
 Integers
Definition
 Negatives and whole numbers   ..., -2, -1, 0, 1, 2,...
Term
 Rational Numbers
Definition
 All numbers that can be expressed a/b with b not equal to 0. These can also be expressed as terminating or repeating decimals.     (a/b is intended to be written like a fraction but I don't know how to do that on the computer.)
Term
 Irrational Numbers
Definition
 Numbers whose decimal representations are neither terminating nor repeating, such as pi or the square root of 2.
Term
 Absolute Value
Definition
 The distance from 0 on a number line, written as a number with | | around it. This is always a positive number.   |-5| = 5
Term
Definition
 Numbers that differs only in sign, such as 3 and -3. Also known as opposites
Term
 Terms
Definition
 The terms of an algebraic expression are those separated by addition.   7x + 3   The terms are 7x and 3.
Term
 Coefficient
Definition
 The numerical part of a term.   7x   7 is the coefficient.
Term
 Constant Term
Definition
 The part of the term that is just a number.   7x + 3   Three is the constant term.
Term
 Factors of the Term
Definition
 The parts of each term that are multiplied.   7x   The factors are 7 and x.
Term
 Communicative Properties
Definition
 Addition and multiplication of two real numbers can be done in any order.   a + b = b + a   ab = ba
Term
 Associative Properties
Definition
 The way in which three numbers are grouped does not change their sum or product.   (a + b) + c = a + (b + c)   (ab)c = a(bc)
Term
 Distributive Property
Definition
 Multiplication distributes over addition.   a(b + c) = ab + ac
Term
 Inconsistant Equation
Definition
 An equation with no solution.   x = x + 4   (There is no number that is equal to itself plus 4.)
Term
 Identity
Definition
 An equation that is true for all real numbers.   x + 3 = x + 2 + 1
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