Posts Tagged ‘subtraction’
Tuesday, December 29th, 2009
How to Construct a Cayley Table
Description
A detailed tutorial on how to construct a Cayley table. Step by step tutorial including several examples of how to construct a Cayley table for reference.
Overview
A Cayley table is a table that expresses the structure of a finite set. A Cayley table is set up by having the elements of the set across the first row, and numbers going in a numerical order of n + 1 starting at 1 down the first column. Sometimes the table is simply different ways the elements can be ordered. Other times is is a true table, where an operation is performed between two numbers in the space where they cross each other. However, a true Cayley table must be constructed using an identity skeleton. Once an identity skeleton for the finite set has been decided on, the Cayley table can be filled out using the identity skeleton. Since there is more than one possible identity skeleton for a finite set, you may have to go through a trial and error process until you find the right one.
Tags: addition, Cayley, chart, column, cross, discrete math, division, elements, error, finite, graph, identity, multiplication, operation, order, process, row, set, skeleton, subtraction, table, trial
Posted in Discrete Math | No Comments »
Thursday, November 19th, 2009
Overview of Revenue, Cost, and Product Functions
Description
A detailed tutorial on revenue, cost, and product functions. Step by step tutorial including several examples of revenue, cost, and product functions for reference.
Overview
The revenue, cost, and product functions are parts of economics and business math. The cost function is how much something costs, and it can be expressed as C(q) = 100 + 2q. The revenue function is how much money you get from selling what you bought, and it can be expressed as R(q) = 2.5q. The profit function is how much money was actually made, and it is the revenue function minus the cost function.
Tags: algebra, business, cost, economics, function, gained, lost, Math, money, product, revenue, subtraction
Posted in Algebra | No Comments »
Thursday, November 19th, 2009
Overview of Computation Methods
Description
A detailed tutorial on the four basic computation methods. Step by step tutorial including several examples of the four basic computation methods for reference.
Overview
Computation methods are the way you solve expressions and equations. The four basic ones are addition, subtraction, multiplication, and division. Addition and subtraction are inverses of each other, and multiplication and division are inverses of each other. All of them are extensions of counting and can easily be solved without too much effort.
Tags: add, addition, arithmetic, basic, computate, computation, counting, divide, division, method, multiplication, multiply, subtract, subtraction
Posted in Arithmetic | No Comments »
Thursday, November 12th, 2009
How to Use Algebra Tiles
Description
A detailed tutorial on how to use algebra tiles. Step by step tutorial including several examples of how to use algebra tiles for reference.
Overview
Algebra tiles are a visual expression of polynomials and polynomial equations. Each tile is meant to represent a different polynomial. A large square tile represents the squared variable, a smaller square tile represents a single number, with no variable, and a rectangle represents the single variable. The tiles are red and green. Green represents positive monomials, and red represents negative monomials. Tiles can be combined to create equations, or the same tiles can be combined to express the coefficient. Addition and subtraction can be performed by adding and removing tiles.
Tags: addition, algebra, coefficient, cubed, green, large, negative, polynomial, positive, rectangle, red, small, square, squared, subtraction, tiles, variable
Posted in Algebra | No Comments »
Thursday, November 5th, 2009
Definition of an Operand
Description
A detailed tutorial on the definition of an operand. Step by step tutorial including several examples of an operand for reference.
Overview
An operand can be any number. However, a number is only called an operand when there is some kind of operation being performed on it. There are simple operands and complex operands. A simple operand is what people call an operand – just one number. A complex operand is an operand that consists of an operation inside it, and therefore has at least 2 operands inside the first operand.
Tags: addition, arithmetic, complex, division, exponents, multiplication, number, operand, operation, order, parenthesis, simple, subtraction
Posted in Arithmetic | No Comments »
Friday, October 23rd, 2009
How to Solve Vectors Using Vector Subtraction
Description
A detailed tutorial on how to solve vectors using vector subtraction. Step by step tutorial including several examples of vector subtraction for reference.
Overview
Vector subtraction involves two vectors that do not have to be equal, and could have different magnitudes and directions. The vectors are referred to as a and b. The formula for vector subtraction is:
In general, vector subtraction is defined geomtrically instead of algebraically, so it is not used quite as often as vector addition is.
Tags: addition, algebra, algebraically, direction, equal, formula, geometrically, Geometry, magnitude, subtraction, vector
Posted in Algebra | No Comments »
Thursday, October 22nd, 2009
How to Find Nonlinear Asymptotes
Description
A detailed tutorial on finding nonlinear asymptotes. Step by step tutorial including several examples of how to find nonlinear asymptotes for reference.
Overview
An asymptote is used to describe the behavior of a curve as it heads away from the origin and towards infinity. Typically it is meant to describe two curves that are doing this, and these curves are said to be asymptotic. In most cases, the asymptote is linear – which means the curves have the same behavior. Whenever someone is talking about an asymptote, they are talking about a linear asymptote unless they specify a different type of asymptote. In rare cases, asymptotes are nonlinear. Both curves are still heading towards infinity, but they do not have the same behavior. This can be determined by the limit of either the subtraction or the division of these curves.
Tags: algebra, asymptote, asymptotic, behavior, curve, division, function, horizontal, infinity, limit, linear, nonlinear, oblique, origin, subtraction, vertical
Posted in Algebra | No Comments »
Thursday, October 15th, 2009
Difference in Set Theory
Description
A detailed tutorial of difference in set theory. Step by step tutorial including several examples of difference in set theory for reference.
Overview
Difference is what you get after subtracting two numbers – or two sets. As with other examples of subtraction, order is very important for difference in set theory. Unless two sets are identical, you will end up with a different answer depending on the order. Difference is very often used in conjunction with union and intersection of sets or power sets.
Tags: difference, discrete math, element, empty set, intersection, Math, number, order, power set, set, set theory, subset, subtract, subtraction, union
Posted in Discrete Math | No Comments »
Thursday, October 8th, 2009
Introduction to Inverse Operations
Description
A detailed tutorial on the different inverse operations. Step by step tutorial including several examples of the different inverse operations for reference.
Overview
Inverse operations are operations that undo each other – for example, if you do something a problem, and then use the inverse operation, it should be like it never happened. Common inverse functions are addition and subtraction, multiplication and division, square roots and squaring, and logarithms and exponents.
Tags: addition, arithmetic, division, exponent, inverse, logarithm, Math, multiplication, operation, square roots, squaring, subtraction
Posted in Arithmetic | No Comments »
Thursday, October 1st, 2009
Introduction to the Number Line
Description
A detailed tutorial on the number line. Step by step tutorial including several examples of when and how use the number line for reference.
Overview
The number line is a basic concept in math that helps to visualize where all the numbers are. On a traditional number line, the number zero is placed in the middle, with numbers going up by one lining either side (the left side is negative, the right side is positive). The number line stretches to infinity in both directions. The number line is used when first learning math to assist with addition and subtraction. The number line is brought up again in algebra, to help with inequalities. Often inequalities are graphed on the number line, to show possible values of the variable given.
Tags: addition, arithmetic, graph, greater than, inequalities, infinity, less than, Math, negative, number line, positive, subtraction
Posted in Arithmetic | No Comments »
