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Math
Glossary
natural numbers
The
numbers used for counting:
{1, 2, 3, 4, ...}.
whole numbers
The
set of whole numbers is:
{0, 1, 2, 3, 4, 5, ...}.
numerator
The
number above the fraction
bar that shows how many
equivalent parts are being
considered.
denominator
The
number below the fraction
bar in a fraction.
It shows the number of equal
parts in a whole.
factor
Any
number that divides evenly
(without remainder) into the
given number:
1, 2, 3 and 6 are factors of 6.
product
The
answer to a multiplication
problem.
6 is the product of 2 times 3.
factored
A
number is factored by writing it
as the product of two or more
numbers.
6 is factored as 2 times 3.
prime number
A
natural number (except one)
that has only one and itself as
factors.
2, 3, 5, 7, 11, 13, and 17 are
prime numbers.
composite number
A
composite number has at least
one factor other than itself and
one.
greatest common factor
(GCF)
The
largest common factor of a
list of integers or the largest term
that is a factor of all terms in the
polynomial.
lowest terms
A
fraction is in lowest terms when
there are no common factors in
the numerator and denominator
(except 1).
reciprocals
Pairs
of numbers whose product
is 1:
1/3 and 3 are reciprocals.
quotient
The
answer to a division problem.
sum
The
answer to an addition
problem.
least common
denominator (LCD)
Given
several denominators, the
smallest expression that is
divisible by all the denominators
is called the least common
denominator.
mixed number
A
whole number and a fraction
written together and understood
to be their sum.
difference
The
answer to a subtraction
problem.
exponent (power)
A
number that indicates how
many times a factor is repeated:
Given
23 the exponent is three.
base
The
number that is a repeated
factor when written with an
exponent:
Given 23 the base is two.
variable
A
variable is a symbol used to
represent an unknown number:
In the term 3x the variable is x.
algebraic expression
Any
collection of numbers or
variables joined by the basic
operations of addition,
subtraction, multiplication, or
division (except by zero), or the
operation of taking roots.
equation
A
statement that two algebraic
expressions are equal:
Example: 4x = 5y.
number line
A
line with a scale that is used to
show how numbers relate to each
other.
negative number
A
number located to the left of
zero on a number line.
positive number
A
number located to the right of
zero on the number line.
signed numbers
Numbers
that can be written with
a positive or negative sign.
integers
The
set of integers is:
{...-3, -2, -1, 0, 1, 2, 3,...}.
graph of a number
The
point on a number line that
corresponds to a number is its
graph.
rational numbers
Rational
numbers can be written
as the quotient of two integers,
with denominator not zero.
set-builder notation
Set-builder
notation is used to
describe a set of numbers without
actually having to list all of the
elements.
irrational numbers
Irrational
numbers cannot be
written as the quotient of two
integers but can be represented
by points on the number line.
real numbers
All
numbers that can be
represented by points on the
number line, that is, all rational
and irrational numbers.
additive inverse
Two
numbers that are the same
distance from zero on a number
line but on opposite sides of zero.
The sum of two additive inverses
equals zero.
term
A
number, a variable, or the
product or quotient of a number
and one or more variables raised
to powers.
numerical coefficient
The
numerical factor in a term. In
the term 6x2 the numerical
coefficient is 6.
like terms
The
same variables raised to
exactly the same powers. The
terms 2x2 and 7x2 are like terms.
unlike terms
Terms
that do not have the same
variable or the variables are not
raised to the same powers. The
terms 2x2 and 7x3 are unlike
terms.
combining like terms
A
method of adding or subtracting
like terms by using the properties
of real numbers:
2x2 + 7x2 = 9x2.