order - a position, rank or arrangement of numbers or objects
π DigitsFree π Digits Calculator - Calculates PI (π) to a set number of decimal places using the Gauss-Legendre Algorithm.
1089 Number TrickFree 1089 Number Trick Calculator - Demonstrates the 1089 number trick for a 3 digit number that you enter
Absolute ValueFree Absolute Value Calculator - Add, subtract, multiply or divide any two numbers with absolute value signs. Positive Difference.
Addition and Multiplication MultiplesFree Addition and Multiplication Multiples Calculator - Shows all addition and multiplication multiples up to 20 for a positive integer
Algebraic ExpressionsFree Algebraic Expressions Calculator - This calculator builds algebraic expressions based on word representations of numbers using the four operators and the words that represent them(increased,product,decreased,divided,times)
Also known as Mathematical phrases
Basic Math OperationsFree Basic Math Operations Calculator - Given 2 numbers, this performs the following arithmetic operations:
* Addition (Adding) (+)
* Subtraction (Subtracting) (-)
* Multiplication (Multiplying) (x)
* Long division (Dividing) with a remainder (÷)
* Long division to decimal places (÷)
* Partial Sums (Shortcut Sums)
* Short Division
* Duplication and Mediation
Basic StatisticsFree Basic Statistics Calculator - Given a number set, and an optional probability set, this calculates the following statistical items:
Expected Value
Mean = μ
Variance = σ2
Standard Deviation = σ
Standard Error of the Mean
Skewness
Mid-Range
Average Deviation (Mean Absolute Deviation)
Median
Mode
Range
Pearsons Skewness Coefficients
Entropy
Upper Quartile (hinge) (75th Percentile)
Lower Quartile (hinge) (25th Percentile)
InnerQuartile Range
Inner Fences (Lower Inner Fence and Upper Inner Fence)
Outer Fences (Lower Outer Fence and Upper Outer Fence)
Suspect Outliers
Highly Suspect Outliers
Stem and Leaf Plot
Ranked Data Set
Central Tendency Items such as Harmonic Mean and
Geometric Mean and Mid-Range
Root Mean Square
Weighted Average (Weighted Mean)
Frequency Distribution
Successive Ratio
Bending Beams DisplacementFree Bending Beams Displacement Calculator - Calculates the displacement from the bending of beams at one end or both ends
Cartesian ProductFree Cartesian Product Calculator - Given a Set A and Set B, this calculates the Cartesian Product A × B
CeilingFree Ceiling Calculator - Calculates the ceiling of a number
Combinations with ReplacementFree Combinations with Replacement Calculator - Calculates the following:
How many combinations can we have from a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed?
ConjugatesFree Conjugates Calculator - Simplifies a fraction with conjugates in the denominator
CubeFree Cube Calculator - Solves for Volume (Capacity), Lateral Area,Surface Area, and the value of a side for a cube.
DivisibilityFree Divisibility Calculator - Shows the divisibility of a number by seeing if it is divisible by (2,3,4,5,6,7,8,9,10,11)
FactorizationFree Factorization Calculator - Given a positive integer, this calculates the following for that number:
1) Factor pairs and prime factorization and prime power decomposition
2) Factors and Proper Factors
3) Aliquot Sum
Fractions and Mixed NumbersFree Fractions and Mixed Numbers Calculator - Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Addition (Adding)
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions
* reduce a fraction
FunctionFree Function Calculator - Takes various functions (exponential, logarithmic, signum (sign), polynomial, linear with constant of proportionality, constant, absolute value), and classifies them, builds ordered pairs, and finds the y-intercept and x-intercept and domain and range if they exist.
Function TestFree Function Test Calculator - Checks to see if a set of ordered pairs represents a function
Half-Life of a SubstanceFree Half-Life of a Substance Calculator - Given a half-life (h) of a substance at time t, this determines the new substance size at time tn, otherwise known as decay.
Inclusive Number Word ProblemsFree Inclusive Number Word Problems Calculator - Given an integer A and an integer B, this calculates the following inclusive word problem questions:
1) The Average of all numbers inclusive from A to B
2) The Count of all numbers inclusive from A to B
3) The Sum of all numbers inclusive from A to B
Index FormFree Index Form Calculator - Writes a number using index form notation
Line Equation-Slope-Distance-Midpoint-Y interceptFree Line Equation-Slope-Distance-Midpoint-Y intercept Calculator - Enter 2 points, and this calculates the following:
* Slope of the line (rise over run) and the line equation y = mx + b that joins the 2 points
* Midpoint of the two points
* Distance between the 2 points
* 2 remaining angles of the rignt triangle formed by the 2 points
* y intercept of the line equation
* Point-Slope Form
* Parametric Equations and Symmetric Equations
Or, if you are given a point on a line and the slope of the line including that point, this calculates the equation of that line and the y intercept of that line equation, and point-slope form.
Also allows for the entry of m and b to form the line equation
Linear ConversionsFree Linear Conversions Calculator - Converts to and from the following linear measurements for a given quantity:
Inches
Feet
Yards
Miles
Micrometer
Millimeters
Centimeters
Meters
Kilometers
Furlongs
Logarithms and Natural Logarithms and Eulers Constant (e)Free Logarithms and Natural Logarithms and Eulers Constant (e) Calculator - This calculator does the following:
* Takes the Natural Log base e of a number x Ln(x) → logex
* Raises e to a power of y, ey
* Performs the change of base rule on logb(x)
* Solves equations in the form bcx = d where b, c, and d are constants and x is any variable a-z
* Solves equations in the form cedx=b where b, c, and d are constants, e is Eulers Constant = 2.71828182846, and x is any variable a-z
* Exponential form to logarithmic form for expressions such as 53 = 125 to logarithmic form
* Logarithmic form to exponential form for expressions such as Log5125 = 3
Matrix PropertiesFree Matrix Properties Calculator - Given a matrix |A|, this calculates the following items if they exist:
* Determinant = det(A)
* Inverse = A-1
* Transpose = AT
* Adjoint = adj(A)
* Eigen equation (characteristic polynomial) = det|λI - A|
* Trace = tr(A)
* Gauss-Jordan Elimination using Row Echelon and Reduced Row Echelon Form
* Dimensions of |A| m x n
* Order of a matrix
* Euclidean Norm ||A||
* Magic Sum if it exists
* Determines if |A| is an Exchange Matrix
MonomialsFree Monomials Calculator - This calculator will raise a monomial to a power,multiply monomials, or divide monomials.
MortgageFree Mortgage Calculator - Calculates the monthly payment, APY%, total value of payments, principal/interest/balance at a given time as well as an amortization table on a standard or interest only home or car loan with fixed interest rate. Handles amortized loans.
Multiple Fractions (Addition or Ordering)Free Multiple Fractions (Addition or Ordering) Calculator - This adds 3 or more fractions or arranges a list of fractions from lowest to highest and highest to lowest (ordering fractions or sorting fractions)
Order of OperationsFree Order of Operations Calculator - Evaluates an expression using the order of operations, or PEMDAS or PEDMAS or BEDMAS or BODMAS
Ordered and Unordered PartitionsFree Ordered and Unordered Partitions Calculator - Given a population size (n) and a group population of (m), this calculator determines how many ordered or unordered groups of (m) can be formed from (n)
Ordered PairFree Ordered Pair Calculator - This calculator handles the following conversions:
* Ordered Pair Evaluation and symmetric points including the abcissa and ordinate
* Polar coordinates of (r,θ°) to Cartesian coordinates of (x,y)
* Cartesian coordinates of (x,y) to Polar coordinates of (r,θ°)
* Quadrant (I,II,III,IV) for the point entered.
* Equivalent Coordinates of a polar coordinate
* Rotate point 90°, 180°, or 270°
* reflect point over the x-axis
* reflect point over the y-axis
* reflect point over the origin
Ordering NumbersFree Ordering Numbers Calculator - Given a list of numbers, this will order the list ascending (lowest to highest or least to greatest) or descending (highest to lowest or greatest to least)
Ordinal NumberFree Ordinal Number Calculator - This calculator determines the ordinal number of an integer
Permutations with ReplacementFree Permutations with Replacement Calculator - Calculates the following:
How many permutations can we have from a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed?
PolygonsFree Polygons Calculator - Using various input scenarios of a polygon such as side length, number of sides, apothem, and radius, this calculator determines Perimeter or a polygon and Area of the polygon.
This also determines interior angles of a polygon and diagonals of a polygon as well as the total number of 1 vertex diagonals.
Probability (A U B)Free Probability (A U B) Calculator - Given a 2 event sample space A and B, this calculates the probability of the following events:
P(A U B)
P(A)
P(B)
P(A ∩ B)
ProportionFree Proportion Calculator - 1) Calculates the missing link of 2 equivalent proportions or ratios.
2) Also determines if two numerical proportions that you entered such as 1/10=6/12 are equivalent or not equivalent.
Note: You can use all allowable operators such as =,<,≤,>,≥
Quadratic Equations and InequalitiesFree Quadratic Equations and Inequalities Calculator - Solves for quadratic equations in the form ax2 + bx + c = 0. Also generates practice problems as well as hints for each problem.
* Solve using the quadratic formula and the discriminant Δ
* Complete the Square for the Quadratic
* Factor the Quadratic
* Y-Intercept
* Vertex (h,k) of the parabola formed by the quadratic where h is the Axis of Symmetry as well as the vertex form of the equation a(h - h)2 + k
* Concavity of the parabola formed by the quadratic
* Using the Rational Root Theorem (Rational Zero Theorem), the calculator will determine potential roots which can then be tested against the synthetic calculator.
Radical ExpressionsFree Radical Expressions Calculator - Evaluates and simplifies radical expressions. Simplifying radical expressions.
Roman Numeral ConversionsFree Roman Numeral Conversions Calculator - Converts a Positive integer less than 4000 to a Roman Numeral.
Converts a Roman Numeral with a positive value less than 4000 to a number.
Rule of 72Free Rule of 72 Calculator - Calculates how long it would take money to double (doubling time) using the rule of 72 interest approximation as well as showing the mathematical proof of the Rule of 72.
Run Length EncodingFree Run Length Encoding Calculator - Given a string, this will determine the run length encoding using repeating patterns of characters.
Scientific NotationFree Scientific Notation Calculator - * Converts a number into scientific notation and determines order of magnitude
* converts scientific notation to a number (standard notation). Also handles scientific notation operations.
Set NotationFree Set Notation Calculator - Given two number sets A and B, this determines the following:
* Union of A and B, denoted A U B
* Intersection of A and B, denoted A ∩ B
* Elements in A not in B, denoted A - B
* Elements in B not in A, denoted B - A
* Symmetric Difference A Δ B
* The Concatenation A · B
* The Cartesian Product A x B
* Cardinality of A = |A|
* Cardinality of B = |B|
* Jaccard Index J(A,B)
* Jaccard Distance Jσ(A,B)
* Dice's Coefficient
* If A is a subset of B
* If B is a subset of A
Set Theory NotationFree Set Theory Notation Calculator - Evaluates and describes various set theory notation
Square Roots and ExponentsFree Square Roots and Exponents Calculator - Given a number (n), or a fraction (n/m), and/or an exponent (x), or product of up to 5 radicals, this determines the following:
* The square root of n denoted as √n
* The square root of the fraction n/m denoted as √n/m
* n raised to the xth power denoted as nx (Write without exponents)
* n raised to the xth power raised to the yth power denoted as (nx)y (Write without exponents)
* Product of up to 5 square roots: √a√b√c√d√e
* Write a numeric expression such as 8x8x8x8x8 in exponential form
Sum to Product and Product to Sum FormulasFree Sum to Product and Product to Sum Formulas Calculator - Given two angles in degrees of u and v, this determines the following:
* Sin(u) ± Sin(v)
* Cos(u) ± Cos(v)
* Sin(u)Sin(v)
* Cos(u)Cos(v)
* Sin(u)Cos(v)
* Cos(u)Sin(v)
* Sin(u + v)
* Sin(u - v)
* Cos(u + v)
* Cos(u - v)
* Tan(u + v)
* Tan(u - v)
Tally MarksFree Tally Marks Calculator - Shows the tally mark representation (tallies) for a positive integer.
Trichotomy PropertyFree Trichotomy Property Calculator - Demonstrates the Trichotomy Property with 2 numbers.
Numerical Properties
Trig MeasurementFree Trig Measurement Calculator - Given an angle θ, this calculates the following measurements:
Sin(θ) = Sine
Cos(θ) = Cosine
Tan(θ) = Tangent
Csc(θ) = Cosecant
Sec(θ) = Secant
Cot(θ) = Cotangent
Arcsin(x) = θ = Arcsine
Arccos(x) = θ = Arccosine
Arctan(x) =θ = Arctangent
Also converts between Degrees and Radians and Gradians
Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle
