Math Vocabulary

Acute Angle

An angle that is less than 90 degrees.

Addition

an adding of two or more numbers to get a number called the sum
Example:5+5 = 10 10 is the sum

Algebra

area of math dealing in representing numbers with letters
Example:x+5=8 solve for x

Angle

The space (measured in degrees) between two lines that start from the same point.

Area

The measure of the amount of space a two-dimensional figure takes up.
Example:Area=length*width

Arithmetic

"the art of computing using addition, subtraction, multiplication, and division"

Associative

The property that an expression, in a fixed order, will produce the same result no matter how adjacent items are grouped.
Example:(a+b)+c = a+(b+c)

 

Binomial

A polynomial with two terms.
Example:(2x+3)

 

Calculus

A method of calculation. One of several highly systematic methods of treating nproblems by a special system of algebraic notations.

 

Circle

a curved line with every point equal distance from the center

 

Circumference

The length of the outer boundary of a circle.
Example:Circumference=Pi*Diameter.

 

Compass

An instrument used for drawing circles, describing circles, or measuring distances. Consists of two hinged, movable legs.

 

Complementary Angle

Either of two angles that when added together produce an angle of 90 degrees.

 

Composite Number

any integer that can be divided by another number evenly except by itself and 1
Example:"21, 24, 9, 10"

 

Congruent

equal; equal angles are described to be this

 

Coordinate Axis

two perpendicular lines intersecting to form four quadrants

 

Counting Number

* see natural number
Example:"1,2,3,4..."

 

Cubic Centimeter (cm³)

A metric unit of volume; the volume of a cube 1 centimeter on a side. 1 cubic centimeter is equal to 1 milliliter.

 

Dekameters

A unit of length that is equal to 10 meters.

 

Denominator

The bottom number in a fraction
Example:15/16 16 is the denominator

 

Density

Mass per unit volume of a substance.
Example:Units: g/cm3 or g/ml

 

Diagram

A figure, usually a line drawing, that illustrates a geometrical theorem.

 

Diameter

The measurment of a line that passes from one side of a circle to the other side of the circle, through the center point.

 

Difference

the amount by which one number differs from another
Example:9-8=1 the difference of 9 and 8 is 1

 

Dividend

the number being divided
Example:9÷3=3 9 is the dividend

 

Divisible

Capable of being evenly divided by a number, without a remainder.

 

Division

the process of finding out how many times a number is contained in another
Example:6÷3=2 3 is in 6 two times

 

Divisor

the number doing the dividing
Example:10÷2=5 2 is the divisor

 

e

The number used as the base for natural logarithms. Equal to "2.7182818..."

 

Ellipse

a curved line with the sum of the distances from imaginary points (foci) to each point on the curve is constant

 

Equation

An algebraic expression asserting the equality of two quantities.
Example:x + 4 = y -10

 

Equilateral

A figure with all it's sides equal in length.
Example:A square is equilateral

 

Equilateral Triangle

A triangle with all sides and angles equal in length.

 

Estimate

An approximate calculation of the value of something.

 

Exponent

a small figure placed to the upper-right of a number showing the number of times to multiply that number by itself

 

Expression

A mathematical symbol, or combination of sybols, representing a value, or relation.
Example:2+2=4

 

Factor

Numbers that evenly divide into a specific number.
Example:1, 2, 4, and 8 are all factors of 8.

 

Focus

"imaginary point seen in parabolas, hyperbolas, and ellipses"

 

Formula for Density

Density=Mass/Volume

 

Fraction

A ratio of two integers being divided.
Example:3/4 , which is also 3 divided by 4

 

Geometry

"area of math dealing with points, lines, planes and figures"

 

Googol

A number that is equal to 1 followed by 100 zeros.
Example:10^100

 

Googolplex

A number that is equal to 1 followed by a googol of zeros.
Example:10^10^10^100

 

Hectometers

A unit of length that is equal to 100 meters.

 

Hexagon

A polygon that has six angles and six sides.

 

Histogram

A bar graph of frequency distribution

 

Hyperbola

a curved line with the difference of the distances from imaginary points (foci) to each point on the curve is constant

 

Imaginary Number

an even root of a negative number; square root of -1 is symbolized by i
Example:5i

 

Improper Fraction

where the numerator of the fraction is large than the denominator
Example:25/12

 

Inequality

"an equation written with a greater than, a less than sign, or a NOT equal to sign"
Example:5 + x ‹ 10

 

Infinite

Doesn't have an end. Goes on forever.
Example:1,2,3,4,5,6,7,8,9,10,11... well, you get it, it just doesn't stop.

 

Integer

any positive or negative whole number or zero
Example:"-3, -2, -1, 0, 1, 2, 3 "

 

Isosceles Triangle

A triangle with two sides equal in length.

 

Light-year

The distance that light travels in a vacuum in one year, approximately 9.46 trillion (9.46 × 1012) kilometers or 5.88 trillion (5.88 × 1012) miles.

 

Line

an infinite path connecting an infinite number of points

 

Line Plot

A sketch of data in which check marks, X's, or other marks above a number line show the frequency of each value.

 

Logarithm (Log)

The exponent of the power to which a base number must be raised to equal a given number.
Example:2 is the logarithm of 100 to the base 10 (2=log10 100). (10 must be raised to the power of 2 in order to eqaul 100)

 

A unified body of matter with no specific shape

 

Matrix

A rectangular array of numbers, algebraic symbols, or mathematical functions.

 

Mean

a value that is calculated by dividing the sum of terms by the number of terms. Also known as an average.

 

Median

A value within a set of terms where there are an equal number of terms larger and smaller.

 

Metric System

A decimal system of weights and measures, universally used in science, and the official system of measurement in many countries.

 

Mixed Number

a whole number and a fraction
Example:5 1/2

 

Mode

A value in a set of data that occurs most often.

 

Multiplication

the process of repeating additions of the same number
Example:9 x 9 =81

 

Natural Logarithm

A logarithm that has e as a base.

 

Natural Number

any positive integer
Example:"1, 2, 3, 4..."

 

Negative Number

A number that is less than zero.
Example:-1,-2,-3,-4,-5

 

Newton

The unit of force required to accelerate a mass of one kilogram one meter per second per second.

 

Number

One or more arithmetical symbols representing a quantity calculated in units.
Example: 2, 97, XV

 

Numerator

The top number in a fraction.

 

Oblique Angle

An angle that is not a right angle. An acute or obtuse angle.

 

Obtuse Angle

An angle that is larger than 90 degrees.

 

Obtuse Triangle

A triangle with one angle obtuse.

 

Octagon

A polygon with 8 sides.

 

Order of Operations

A set of rules for the order in which to solve mathematical problems. The order goes: * and /, + and -. If there are parentheses then work inside them first.
Example:Correct: 1+2*3=7.
Not Correct: 1+2*3=9

 

Parallel

extending where each matching point on different lines is equidistant

 

Parallelogram

A quadrilateral with both pairs of opposite sides parallel to each other.

 

Pentagon

A polygon having five angles and five sides. Each angle is 108 degrees.

 

Percent

a number out of 100 (%)
Example:"50%, 75%"

 

Perimeter

The border of a two-demensional figure.

 

Perpendicular

at right angles to

 

Pi

ratio of the circumference to the diameter of a circle (3.1415926...)

 

Plane Geometry

area of geometry dealing two-dimensional figures

 

Point

"a place in space with zero dimensions, shape, size, or extension"

 

Polygon

A closed figure with three of more straight sides.

 

Positive Number

A number that is greater than zero.
Example:1,2,3,4,5,6,7

 

Prime Factorization

Calculation of all prime factors in a number.
Example:The prime factors of 84 are 7 x 3 x 2 x 2.

 

Prime Number

any integer that cannot be divided by another number evenly except by itself and 1; two is the smallest prime number
Example:"2, 3, 5, 7, 11, 13"

 

Prism

A solid with bases that are parallel, congruent polygons and sides that are parallelograms.

 

Probability

The possibility that an event will occur, as expressed by the ratio of the number of actual occurances to the total of possible occurances.

 

Product

the number that results by multiplying two or more numbers together
Example:8 x 8 = 64 64 is the product

 

Proper Factor

Any whole-number factor of a number except the number itself.
Example: For example, the factors of 10 are 1, 2, 5, and 10. The proper factors of 10 are 1, 2, and 5.

 

Proper Fraction

A fraction with a numerator less than the denominator.
Example:Proper: 1/2 Improper: 2/1

 

Pyramid

a shape with a polygonal base and triangular sides meeting at a common point (vertex)

 

Quadrant

1/4 of a coordinate plane axis

 

Quadrilateral

a four-sided polygon

 

Quantity

A specified or indefinite number or amount.

 

Quotient

the result when one number is divided by another
Example:100÷25 = 4 4 is the quotient

 

Radical

a root sign

 

Radius

Half the diameter of a circle. The distance between the middle of a circle and the circles surface.

 

Random Number

A number choosed without definite aim, reason, or pattern.

 

Ratio

The number or degree of one class of things in relation to another, or between one thing and another, expressed as a proportion .
Example:In a car, the ratio of tires to steering wheel is 4 to 1, often wriiten 4:1.

 

Ray

a line having one endpoint

 

Real Number

any number that is not imaginary
Example:"1.23156..., 5, 8/6, e, square root (3)"

 

Reciprocal

Expressions, relations, or fractions that are opposite.
Example:1/2 is the reciprocal of 2/1

 

Rectangle

A parallelogram with four right angles.

 

Rectangular Prism

A prism in the shape of a rectangle.

 

Regular Polygon

a polygon with all sides equal and all interior angles congruent

 

Remainder

The portion of the dividend that is not evenly divisible by the divisor.

 

Rhombus

An equilateral parallelogram with oblique angles.

 

Right Angle

An angle that is 90 degrees.

 

Right Triangle

A triangle with one of the angles equal to 90 degrees.

 

Scalene Triangle

A triangle with three unequal sides.

 

Scientific Notation

Displaying a number in this formula: N * 10^x. Where N=a number greater than 1 but less than 10. X=an exponent of 10.
Example:727900 in scientific notation is: 7.279 * 10^5

 

Segment

a piece of a line with two endpoints

 

Set

A set is a collection of related things.
Example: Days of the week.

 

Solid Geometry

area of geometry dealing with 3-d objects and figures

 

Space

the 3-d continuous expanse and of the matter contained within

 

Sphere

A round body whose surface is at all points the same distance from the center.
Example:A baseball

 

Square

a rectangle with all four sides equal

 

Square Root

the number that when multiplied by itself will produce a given number (the square)

 

Straight Angle

An Angle of 180 degrees.

 

Subset

A set that forms one part of a larger set.
Example:A subset of a baseball team is the pitching roster.

 

Subtraction

the process of finding the difference between two numbers

 

Sum

the result of adding numbers
Example:6+7=13 13 is the sum

 

Supplementary Angle

Either of two angles that when added together produce an angle of 180 degrees.

 

Three-Deminstional Figure.

A figure that has, or seems to have, the dimension of depth as well as length and height.
Example:A cube is three-dimenstional.

 

Transversal

a line that intersects at least two other lines

 

Trapezoid

a quadrilateral with only two sides parallel

 

Triangle

A polygon with only 3 sides and 3 angles.

 

Two-Dimenstional Figure

A figure that has only two dimenstions, lenght and height.
Example:A square is two-dimenstional.

 

Venn Diagram

A diagram using circles to represent an operation in set theory, with the position and overlap of the circles indicating the relationships between the sets.

 

Vertex

"a corner point of a geometric figure formed by lines, planes, or both"

 

Vertical Angle

equal angles formed by the intersection of two or more lines

 

Volume

The measure of the amount of space inside a solid figure. Always measured in cubic units.
Example:Volume of a rectangle=Length * Width * Heig

 

A measure of the heaviness of an object.

 

Whole Number

any positive integer, sometime 0 is included
Example:"1, 24, 28, 500"

April 4, 2003

Math Glossary

www.allmath.com