Quantity Value Fraction Mathematics Vocabulary

Quantity Value Fraction Mathematics Vocabulary

In this chapter we discuss Quantity Value Fraction Mathematics Vocabulary.


Divisor

a number by which another number is to be divided.

Image: Divisor

Dividend

a number to be divided by another number.

Image: Dividend

Difference

a quantity by which amounts differ; the remainder left after subtraction of one value from another.

Image: Difference

Quotient

a result obtained by dividing one quantity by another.

Image: Quotient

Factors

a number that (when multiplied with another) produces a given number or expression.

Image: Factors

Prime Number

a number evenly divisible only by itself and one (e.g., 2, 3, 5, 7, 11).

Image: Prime Number

Composite Number

A whole number that can be divided exactly by numbers other than 1 or itself.

Image: Composite Number

Greatest Common Factor (GCF)

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

Image: Greatest Common Factor (GCF)

Prime Factorization

Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to make the original number.

Image: Prime Factorization

Fraction

A numerical quantity that is not a whole number (e.g., 1/2, 0.5).

Image: Fraction

Equivalent Fractions

Fractions that have the same total value

Image: Equivalent Fractions

Numerator

The number written above the line in a fraction. It tells how many equal parts are described in the fraction.

Image: Numerator

Denominator

The quantity below the line in a fraction. It tells how many equal parts are in the whole.

Image: Denominator

Simplest Form

the form of a fraction when the numerator and denominator have no common factor other than 1

Image: Simplest Form

Multiple

The product of a whole number and any other whole number.

Image: Multiple

Least Common Multiple (LCM)

The least number that is a common multiple of two or more numbers.

Image: Least Common Multiple (LCM)

Least Common Denominator (LCD)

the least common multiple of the denominators.

Image: Least Common Denominator (LCD)

Proper Fraction

a fraction with a numerator smaller than the denominator

Image: Proper Fraction

Improper Fraction

a fraction whose numerator is larger than the denominator

Image: Improper Fraction

Mixed Number

a number made up of a whole number and a fraction

Image: Mixed Number

Sum

the answer to an addition problem

Image: Sum

Product

the answer to a multiplication problem

Image: Product

Reciprocal

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a.

Image: Reciprocal

Negative Number

a number less than zero

Image: Negative Number

Positive Number

a number greater than zero

Image: Positive Number

Opposites

two numbers that have the same absolute value but have different signs

Image: Opposites

Absolute Value

The distance a number is from zero on a number line

Image: Absolute Value

Integer

All whole numbers (both positive and negative) and zero.

Image: Integer

Zero Pair

a pair of numbers whose sum is zero

Image: Zero Pair

Inverse Operations

operations that undo one another

Image: Inverse Operations

Power Exponent

Image: Power

Base

The factor in an exponential equation

Image: Base

Exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself.

Image: Exponent

Squared

A number multiplied by itself

Image: Squared

Cubed

a number raised to the third power

Image: Cubed

Order of Operations

the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction (PEMDAS)

Image: Order of Operations

Rational Number

any number that can be written as a fraction

Image: Rational Number

Variable

A symbol used to represent a quantity that can change

Image: Variable

Algebraic Expression

A combination of variables, numbers, and at least one operation.

Image: Algebraic Expression

Equation

A mathematical sentence that contains an equals sign.Evaluateform an idea of the amount, number, or value of; assess.

Image: Evaluate

Term

Each number in a sequence

Image: Term

Constant

A value that does not change

Image: Constant

Coefficient

A number multiplied by a variable in an algebraic expression.

Image: Coefficient

Inequality

A statement that compares two quantities using <, >, ≤,≥, or ≠

Image: Inequality

Solution to an Inequality

any value that makes the inequality true

Image: Solution to an Inequality

Ratio

A comparison of two quantities by division

Image: Ratio

Rate

a measure, quantity, or frequency, typically one measured against some other quantity or measure.

Image: Rate

Unit Rate

A rate with a denominator of 1.

Image: Unit Rate

Conversion

A change from one unit to another, like inches to centimeters.

Image: Conversion

Complex Fraction

A fraction that contains one or more fractions in its numerator or denominator.

Image: Complex Fraction

Proportion

An equation stating that two ratios are equal

Image: Proportion

Similar Figures

Figures that have the same shape but not necessarily the same size

Image: Similar Figures

Corresponding Parts

A pair of sides or angles that have the same relative position in two congruent or similar figures

Image: Corresponding Parts

Congruent

Having the same size and shape

Image: Congruent

Scale Factor

the ratio of the lengths of two corresponding sides of two similar polygons

Image: Scale Factor

Percent

A ratio that compares a number to 100

Image: Percent

Percent of Change

the percent a quantity increases or decreases from its original amount

Image: Percent of Change

Percent of Increase

the percent of change when the new amount is greater than the original

Image: Percent of Increase

Percent of Decrease

percent of change where the new number is less than the original number

Image: Percent of Decrease

Sales Tax

a tax on the dollar value of a good or service being sold

Image: Sales Tax

Mark-up

Artificial increase in price that creates more profit.

Image: Mark-up

Discount

A straight reduction in price on purchases during a stated period of time or of larger quantities

Image: Discount

Commission

A percentage paid to a store or employee for selling something.Probability like lihood that a particular event will occur

Image: Probability

Outcome

a result or consequence

Image: Outcome

Event

anything that happens or is regarded as happening

Image: Event

Theoretical Probability

Probability based on comparing the number of possible favorable outcomes to the number of total possible outcomes

Image: Theoretical Probability

Pie Chart

a circular chart divided into triangular areas proportional to the percentages of the whole

Image: Pie Chart

Tree Diagram

A diagram used to show the total number of possible outcomes

Image: Tree Diagram

Compound Probability

A mathematical term relating to the likeliness of two independent events occurring.

Image: Compound Probability

Independent Events

Two or more events in which the outcome of one event does not affect the outcome of the other event(s).

Image: Independent Events

Dependent Events

Two or more events in which the outcome of one event affects the outcome of the other event(s).

Image: Dependent Events

Simulation

an imitation of a possible situationPopulationA group of individuals that belong to the same species and live in the same areaSamplea subset of the population

Image: Sample

Representative Sample

a sample that accurately reflects the characteristics of the population as a whole

Image: Representative Sample

Random Sample

a sample in which every element in the population has an equal chance of being selected

Image: Random Sample

Biased Sample

A sample drawn in such a way that one or more parts of the population are favored over others.

Image: Biased Sample

Inference

A conclusion reached on the basis of evidence and reasoning

Mean

Mean is average

Image: Mean

Median

the middle score in a distribution; half the scores are above it and half are below it

Image: Median

Mode

the most frequently occurring score(s) in a distribution

Image: Mode

Range

the difference between the highest and lowest scores in a distribution

Image: Range

x-axis

the horizontal number line in a coordinate plane

Image: x-axis

y-axis

the vertical number line in a coordinate plane

Image: y-axis

Origin

A fixed point from which coordinates are measured. (0,0)

Image: Origin

Quadrants

Four regions into which a coordinate plane is divided by the x-axis and the y-axis

Image: Quadrants

Scatter Plot

A graphed cluster of dots, each of which represents the values of two variables. The slope of the points suggests the direction of the relationship between the two variables.

Image: Scatter Plot

Ordered Pairs

Pairs of numbers (x,y) that can represent a point in a coordinate plane.

Image: Ordered Pairs

Direct Variation

A relationship between two variable quantities with a constant ratio

Image: Direct Variation

Function

1. A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range.

2. The action or actions that an item is designed to perform.


Input-Output Table

a table of values that follows a rule; used to show the pattern in x-values and their corresponding y-values

Image: Input-Output Table

Slope

the steepness of a line on a graph, equal to its vertical change divided by its horizontal change

Image: Slope

Angle

A figure formed by two rays with a common endpoint

Image: Angle

Ray

A part of a line, with one endpoint, that continues without end in one direction

Image: Ray

Vertex

A point where two or more straight lines meet.

Image: Vertex

Adjacent Angles

Angles that have a common side and a common vertex (corner point).

Image: Adjacent Angles

Protractor

A tool used to measure and draw angles.

Image: Protractor

Degrees

a unit for measuring angles

Image: Degrees

Acute Angle

an angle that measures less than 90 degrees

Image: Acute Angle

Right Angle

an angle that measures 90 degrees

Image: Right Angle

Obtuse Angle

An angle that measures more than 90 degrees but less than 180 degrees

Image: Obtuse Angle

Straight Angle

an angle that measures 180 degrees

Image: Straight Angle

Complementary Angles

Two angles whose sum is 90 degrees

Image: Complementary Angles

Supplementary Angles

Two angles whose sum is 180 degrees

Image: Supplementary Angles

Vertical Angles

A pair of opposite congruent angles formed by intersecting lines

Image: Vertical Angles

Linear Pair

a pair of adjacent angles whose non-common sides are opposite rays

Image: Linear Pair

Area

Length x Width

Image: Area

Perimeter

the sum of the lengths of the sides of a polygon

Image: Perimeter

Square

A parallelogram with four congruent sides and four right angles.

Image: Square

Rectangle

a quadrilateral with four right angles

Image: Rectangle

Parallelogram

A quadrilateral with two pairs of parallel sides

Image: Parallelogram

Trapezoid

a quadrilateral with one pair of parallel sides

Image: Trapezoid

Circle

A round plane figure whose boundary consists of points equidistant from the center

Image: Circle

Center

the exact middle of a surface or object.

Image: Center

Radius

The distance from the center of a circle to any point on the circle

Image: Radius

Chord

A segment whose endpoints lie on a circle

Image: Chord

Diameter

A straight line passing from side to side through the center of a circle or sphere.

Image: Diameter

Central Angle

an angle whose vertex is the center of the circle

Image: Central Angle

Circumference

The distance around a circle

Image: Circumference

Pi

The ratio of the circumference of a circle to its diameter (3.14159…)

Image: Pi

Composite Figure

A figure that is made of two or more three-dimensional figures.

Image: Composite Figures

Solid

Definite shape and volume

Image: Solid

Face

A flat surface of a polyhedron

Image: Face

Polygon

A closed plane figure made up of line segments

Image: Polygon

Bases

the bottom of a figure. If the top is parallel to the bottom (as in a trapezoid or prism), both the top and bottom are called bases.

Image: Bases

Lateral Face

In a polyhedron, a face that is not a base.

Image: Lateral Face

Edge

The line along which two surfaces of a solid meet.

Image: Edge

Vertex/Vertices

The point at which two lines segments, lines, or rays, meet to form an angle.

Image: Vertex/Vertices

Net

Geometry – A pattern that you can cut and fold to make a model of a solid shape.

Image: Net

Prism

A solid object with two identical ends and flat sides. The shape of the ends give the prism a name, such as “triangular prism” • The cross section is the same all along its length. • The sides are parallelograms (4-sided shape with opposites sides parallel)

Image: Prism

Pyramid

A solid shape with a polygon as a base and triangular faces that come to a point (vertex or apex)

Image: Pyramid

Surface Area

The measurement of the outer surface of an object.

Image: Surface Area

Volume

The amount of space an object takes up

Image: Volume

Slant Height

the height of the lateral side of a pyramid or cone

Image: Slant Height

Mathematics

Mathematics (Greek μάθημα máthēma, “knowledge, study, learning”) includes the study of topics such as quantity, structure, space, and change. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof.

Ruler

Measurement tool

Image: Ruler

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