Posts Tagged ‘division’
Tuesday, September 15th, 2009
How to Dividing Decimals
Description
A detailed tutorial on how to divide decimals. Step by step tutorial including several examples of dividing decimals for reference. It is a requirement to know how to divide decimals for all math classes.
Overview
Decimals are really no different from regular numbers when you perform operations on them, but sometimes the numbers in the decimal places can be a little tricky to figure out. The operation we will be talking about is division. With division, you set it up just like any long division problem. Move the decimal over to the right on the divisor so that there is no decimal, and then you must move the decimal point over exactly that many spaces on the dividend. Then solve it just like you would any other division problem, and don’t forget about the decimal point.
Tags: arithmetic, decimal points, decimals, divide, division, Math, operations, point, quotient
Posted in Arithmetic | No Comments »
Thursday, September 10th, 2009
How to Perform Operations of Functions
Description
Step-by-step video tutorial on how to solve various operations of functions. Several example problems are provided. Knowledge of functions and operations of functions are required for grade-school algebra.
Overview
I’m sure you are familiar with the normal form of a function – f(x) = (equation or number). If you have a second one, it will be expressed as g(x) = (equation or number). But what happens if you are told to combine the functions through an operation? You follow these basic patterns:
(f + g)(x) = f(x) + g(x)
(f – g)(x) = f(x) – g(x)
(f * g)(x) = f(x) * g(x)
(f / g)(x) = f(x) / g(x)
These are all very basic, and very easy to solve. There is one other pattern, which can seem rather confusing. This pattern is (f o g)(x) = f[g(x)]. The circle means “of”, so you would read that to be “f of g of x”. This means that for every x you see in the f function, you replace it with the entire g function.
Tags: addition, arithmetic, division, functions, Math, multiplication, operations, operations of functions, subtraction
Posted in Algebra, Arithmetic | No Comments »
Tuesday, September 8th, 2009
How to Solve Divison Problems with Fractions
Description
This video explains how to properly divide fractions and shows several different methods that can be used. Many example problems are scattered throughout the video and solutions are presented in an organized manner.
Overview
Dividing fractions is really no different than multiplying fractions, because division is the inverse of multiplication. While we can\’t see this when using whole numbers, it is very easy to show with fractions. When you see a divison problem with fractions, it will often look like this:
(a/b) / (c/d)
Notice how if you wrote that out on paper, that would look like one giant fraction, with a fraction in the denominator and a fraction in the numerator. Now, remember that multiplication is the inverse of division. Continuing on with our example, this is our next step:
(a/b) / (c/d) = (a/b) * (d/c)
You can see that on the second fraction, the numerator and the denominator have been swapped, and we are now multiplying instead of dividing. When you do this, you are actually multiplying the first fraction by the reciprocal of the other. Now you may solve this problem just like you would solve a multiplication problem.
Tags: algebra, arithmetic, denominator, divide, division, fractions, Math, multiplication, multiply, negative, numerator, positive
Posted in Algebra, Arithmetic | No Comments »
Friday, September 4th, 2009
An Overview of l’Hôpital’s Rule
Description
This video explains how to properly use l’Hôpital’s Rule and tells us why it is sometimes necessary to use l’Hôpital’s Rule instead of another method of finding the limit. This video also gives several example problems of how to use l’Hôpital’s Rule.
Overview
l’Hôpital’s Rule is a rule of calculus that helps when evaluating the limit to infinity. l’Hôpital’s Rule states that:
d/dx [f(x) / g(x)] = d/dx [f\'(x) / g\'(x)]
In other words, l’Hôpital’s Rule says that when you need to find the limit of a division equation, you may find the derivative of the numerator and denominator seperately and place them into your equation. Do not use the quotient rule to find an overall derivative or this will not work.
Tags: Calculus, derivatives, division, infinity, l'Hôpital, l'Hôpital's Rule, limit, limit to infinity, Math, zero
Posted in Calculus | No Comments »
Friday, September 4th, 2009
How to Solve Derivatives Using the Quotient Rule
Description
This video goes over the quotient rule and how to use it. It provides many sample problems and shows how to solve derivatives with the quotient rule in conjunction with other derivative rules.
Overview
The quotient rule is a rule in calculus that can help you solve derivatives that are divided. The basic form of the quotient rule is:
d/dx (u / v) = [(v * u') - (u * v')] / (v^2)
This translates to be the the denominator times the derivative of the numerator, minus the numerator times the derivative of the denominator, all over the denominator squared. To remember the quotient rule, you can also use the phrase “low di-high minus high d-low, square the bottom and away we go”
Tags: Calculus, derivative, derivatives, differentiation, divide, division, Math, quotient, quotient rule
Posted in Calculus | No Comments »
Thursday, September 3rd, 2009
An Overview of Negative Numbers
Description
This video is all about how to add and subtract negative numbers from other negative numbers and positive numbers. It clearly illustrates the difference between a negative number and a positive number. Many examples and sample problems are provided.
Overview
Negative numbers are the opposite of the positive numbers that we are used to. The bigger a number with a negative, then the small the number really is (ex: -5 is smaller than -2). Remembering that a negative number is an opposite, when you use it, you do just that – the opposite. x + -y = x – y. x – (-y) = x + y. -x – (-y) = -x + y. A negative plus a negative is exactly the same as a positive plus a positive, but with a negative sign. For multiplication and division, two negatives cancel each other out to be positive, and one negative and one positive will be negative.
Tags: additon, arithmetic, division, Math, multiplication, negative, negative numbers, positive, positive numbers, subtraction
Posted in Arithmetic | No Comments »
Friday, August 28th, 2009
Order of Operations Explained
Description
A detailed tutorial on the use of Order of Operations. Step by step tutorial including few examples for reference. Knowledge of the Order of Operations is important for basic arithmetic.
Overview
The order of operations is better known as PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. This means that you follow that order when solving a long equation, and if there is more than one set of a certain operation then you move in the order of left to right. You can use a mnemonic to remember PEMDAS. The most common one is Please Excuse My Dear Aunt Sally, but if you like you can be creative and come up with your own!
Tags: addition, arithmetic, division, exponents, Math, multiplcation, order of operations, parenthesis, subtraction
Posted in Arithmetic | No Comments »
