Posts Tagged ‘add’

Absolute Values of Complex Number

Tuesday, November 24th, 2009

How to Find the Absolute Value of a Complex Number

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A detailed tutorial on the absolute value of a complex number. Step by step tutorial including several examples on the absolute value of a complex number for reference.

Overview

The absolute value of a complex number is a little different than the absolute value of a real number, because complex numbers deal with imaginary numbers. However, the answer is still a non-negative real number, just like the numbers you deal with in other math classes every day. Say that a complex number z is equal to a + bi, where i is an imaginary number. The |z| is equal to the square root of a^2 plus b^2. In other words, square both a and b, add them together, and find the square root in order to have to absolute value of a complex number z.

Vertices of a Graph

Friday, November 20th, 2009

Overview of the Vertices of a Graph

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A detailed tutorial on the vertices of a grpah. Step by step tutorial including several examples of the vertices of a graph for reference.

Overview

The vertices of a graph are the number of lines extending from points on the graph. This is not the total number of edges – it is the number of edges extending from each point all added together. Each point has at least one vertex. Not every single point can have an odd number of vertices, and all the vertices cannot add up to an odd number, or it is not considered to be the graph of a function.

Computation Methods

Thursday, November 19th, 2009

Overview of Computation Methods

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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.

Additive Identity

Thursday, November 19th, 2009

Overview of the Additive Identity

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A detailed tutorial on how to solve equations using the additive inverse. Step by step tutorial including several examples of how to solve equations with the additive inverse for reference.

Overview

The additive inverse is the inverse of the additive identity – which should be very easy to guess. However, the problem is not guessing the definition of the additive inverse – the problem is knowing what the inverse of the additive identity is. The additive identity states that any number plus zero equals itself. The additive inverse states that any positive number minus its true value or any negative number plus its true value is equal to zero – in other words, that two inverses together equal zero. You solve equations by using the additive inverse.

Additive Identity

Thursday, November 19th, 2009

Overview of the Additive Identity

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Description

A detailed tutorial on the additive identity. Step by step tutorial including several examples of the additive identity for reference.

Overview

The additive identity is very similar to the zero properties of multiplication and addition. However, the additive property is only used with addition – which should be easy to tell from the name of this identity. The additive identity states that any number plus zero, or with zero added to it, is equal to itself. The additive property is one of the properties that all teachers expect you to already know, so it is important to learn it.

Arithmetic Sequence

Thursday, November 12th, 2009

How to Find the Next Term in an Arithmetic Sequence

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A detailed tutorial on finding the next term of an arithmetic sequence. Step by step tutorial including several examples of arithmetic sequences for reference.

Overview

Arithmetic sequences are sequences of numbers that are written in a particular pattern. Most problems including an arithmetic sequence don’t include all the terms in the sequence, and you have to find the next one in the sequence. In order to do this, you must find the pattern. The pattern can be anything – the same number could be added, subtracted, mutliplied, or divided from each previous number of the sequence. The previous number could be added to the number after it to come up with the next number. Each number in the sequence could be divisible by the same number. All numbers could be perfect or prime. There are an endless number of patterns, all you have to do is look and then follow that pattern to come up with the next term or terms in the sequence.

Perfect Numbers

Thursday, November 12th, 2009

How to Identify Perfect Numbers

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Description

A detailed tutorial on how to identify perfect numbers. Step by step tutorial including several examples of perfect numbers for reference.

Overview

A perfect number is a number that is the sum of all it’s divisors (excluding the number itself, which is also a proper divisor). The way that you identify a perfect number is to find all of its divisors. Once you have them all, add them together. If they equal the number, then it is a perfect number. If they don’t, then it is not a perfect number.

Cancellation Properties

Thursday, November 5th, 2009

Cancellation Properties of Natural Numbers

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Description

A detailed tutorial on cancellation properties of natural numbers. Step by step tutorial including several examples of cancellation properties for reference.

Overview

Cancellation properties of natural numbers state that when two terms are equal to each other, if the same number is being multiplied or added on both terms, you may cancel them out and the terms will still be equal to each other. Knowledge of the cancellation properties is extremely important for simplification of equations and when trying to find the value of a variable. Mathematically stated, the cancellation properties are that if x + z = y + z or xz = yz, then x = y.

Rule of Sarrus

Tuesday, November 3rd, 2009

Rule of Sarrus Explained

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A detailed tutorial on the Rule of Sarrus. Step by step tutorial including several examples of the Rule of Sarrus and determinants for reference.

 

Overview

 

The Rule of Sarrus is a method used to compute the determinant of a 3×3 matrix. Mathematically stated, if you are given a 3×3 matrix, you can compute the determinant by repeating the first two columns of the matrix behind the third column, so that you have 5 columns in a row. This forms a 3×5 matrix. Then you add the products of the diagonals going from top to bottom (left to right), and subtract the products going from bottom to top (left to right). This can also be used for 2×2 matrices, but the rule used is a little different.

Work Rate Problems

Friday, October 30th, 2009

How to Solve Work Rate Problems

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Description

A detailed tutorial on solving work rate problems. Step by step tutorial including several examples of work rate problems for reference.

Overview

A work rate problem is a word problems that asks you to calculate the amount of time it will take to do something with two different rates of work. They first show up in basic algebra courses but work rate problems get more complicated and will continue on even in calculus. It is easier to solve work rate problems if you use a chart. First, you need to find the task rate – the rate at which each person is doing something. You do this by dividing the number of tasks (which should be one) by how many hours it takes them to finish it. Then you choose a variable for time. Your task will take that variable divided by the number of hours. You should come up with 2 (or more) results for task. Add these results together and have them equal the number of people there are total working on the task. Then solve for your time variable. Sometimes it will be difficult to solve for the time variable without using an algebra trick of multiplication to change the numbers a bit.

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