Posts Tagged ‘multiply’
Friday, October 9th, 2009
Indentifying Prime Polynomials
Description
A detailed tutorial on how to identify prime polynomials. Step by step tutorial including several examples of identifying prime polynomials for reference.
Overview
Prime polynomials are any polynomial that cannot be factored. Just like a number is prime if you can not break it down into two seperate whole numbers to multiply, a polynomial is prime if you cannot break it down into two separate binomials with whole numbers to multiply. When you run into a prime polynomial when trying to solve a quadratic equation, you cannot use the factoring method. what the factoring method does is split the polynomials into a binomial, which cannot be done to a prime polynomial. If you have a prime polynomial, you have to use the quadratic formula to solve it. At first, you can spot prime polynomials by attempting to factor it, but eventually you will be able to do it just by looking at it.
Tags: algebra, binomial, equation, factoring, formula, Math, multiply, number, polynomial, prime, quadratic, whole
Posted in Algebra | No Comments »
Thursday, October 1st, 2009
Identity Properties of Multiplication and Addition
Description
A detailed tutorial of the identity properties of multiplication and addition. Step by step tutorial including several examples of the identity properties of multiplication and addition for reference.
Overview
There are two definitions of the identity property. The first deals with multiplication. It states that anything multiplied by one is itself. The second property deals with addition. It states that any number with zero added to it equals itself. As you can see, they are very similar to each other. Sometimes the zero property of multiplication is confused with the identity property for multiplication, although it is something different.
Tags: add, addition, arithmetic, equals, identity properties, identity property, itself, Math, multiplication, multiply, one, zero
Posted in Arithmetic | No Comments »
Friday, September 25th, 2009
How to Simplify Factorials
Description
A detailed tutorial on how to simplify factorials. Step by step tutorial including several examples of how to simplify factorials for reference.
Overview
A factorial is an interesting mathematical function. It is expressed as a number with an exclamation point after it – for example, 5! would be “five factorial”. What a factorial really is, is an expression of multiplication. In n!, all numbers from 1 to n, including n, are multiplied. For example: 7! = 1 * 2 * 3 * 4 * 5 * 6 * 7. The notation of a factorial was thought up by Christian Kramp in 1808.
Tags: algebra, Christian Kramp, factorial, Math, multiplication, multiply, n!, product, simplify
Posted in Algebra | No Comments »
Tuesday, September 15th, 2009
How to Find a Percentage of Any Number
Description
A detailed tutorial on the finding of percentages of any number. Step by step tutorial including several examples of how to find percents for reference.
Overview
The knowledge of how to find percents isn’t just something you’ll find in the classroom. You’ll find it all over for the rest of your life – at home, at work, even at the grocery store. Finding percents is a very important skill. It can be very confusing to be faced with some percent of a number that isn’t 100. Thankfully, it is very easy to solve, with the help of cross-multiplication. Cross-multiplication is setting up two fractions and multiplying them in an x formation. One of your fractions will be the percent – a number over 100 – and the other fraction will be an unknown variable over the number you need to find the percent of. After using cross-multiplication, just solve for the unknown variable. The video provided shows a second method to solve percents with.
Tags: algebra, cross multiplication, cross multiply, Math, multiplication, multiply, number, percentage, percents, product
Posted in Algebra | No Comments »
Tuesday, September 15th, 2009
An Introduction to Mixed Numbers and Improper Fractions
Description
A detailed tutorial on the solving of mixed numbers and improper fractions. Step by step tutorial including several examples of how to solve mixed numbers and improper fractions for reference.
Overview
A mixed number is a whole number and a fraction together that form one number. An improper fraction is a fraction that technically shouldn’t exist – such as 4/3, or any fraction where the numerator is larger than the denominator. They are really the same thing, written in a different way. Using the example from before, 4/3 is the same as 1 and 1/3. To convert a mixed number into a fraction, multiply the denominator by the whole number and add the product by the number in the numerator. To get a mixed number from an improper fraction, just do the opposite.
Tags: arithmetic, convert, denominator, fraction, improper, improper fractions, Math, mixed, mixed numbers, multiply, numerator
Posted in Arithmetic | No Comments »
Tuesday, September 15th, 2009
How to Multiply Decimals
Description
A detailed tutorial on how to multiply decimals. Step by step tutorial including several examples of multiplying decimals for reference. It is a requirement to know how to multiply 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 multiplication. Normally, when performing an operation on decimals, you match up the decimal points. However, in multiplication you pretend that the decimal points don’t exist. You multiply as you normally would. However, you do need a decimal point in your final answer. You you need to perform a second operation. Count how many decimal places are in your first decimal, and then count how many there are in your second decimal. Add them together. When you get your final answer, count that many numbers (starting from the right) and then put down your decimal point that many places over.
Tags: arithmetic, decimal points, decimals, Math, multiplication, multiply, operations, point, product
Posted in Arithmetic | No Comments »
Tuesday, September 15th, 2009
An In-Depth Look at the Closure Property
Description
A detailed tutorial on how to use the closure property. Step by step tutorial including several examples of how to use the closure property for reference.
Overview
The closure property states that if a and b are both real numbers, then a + b is a unique real number, and a * b is also a unique real number. Basically what the closure property is saying is that if you add or multiply two real numbers, your only possible answer is a real number. The closure property is also saying that the sum or product of two real numbers is unique, meaning there is only one number that it could be.
Tags: add, addition, arithmetic, closure, closure property, Math, multiplication, multiply, product, property, real numbers, sum, unique
Posted in Arithmetic | No Comments »
Thursday, September 10th, 2009
How to Rationalize the Denominator
Description
This video is a quick tutorial of how to rationalize the denominator in both normal expressions and binomial expressions. Many example problems are provided in this video.
Overview
Rationalizing the denominator refers to something you must do in math when you are given a fraction with a square root of a number like 2 or 3, that comes out to be a very long decimal. Instead of giving up and saying you can’t solve the problem, you can use a math trick to help you. This math trick is multiplying by one. Nothing happens to a number when you multiply it by one. 1 * n = n, and so on. But, here\’s the trick: write one as something different. The fractions 2/2 or sqrt(6)/sqrt(6) are also equal to one. You need to look at your denominator. If the number in your denominator is sqrt(5), then the number you will multiply the fraction by is sqrt(5)/sqrt(5). Follow your rules for fraction multiplication, and you will see that there is now no radical in the denominator! It is okay to have a radical in the numerator after doing this.
Tags: algebra, denominator, fractions, irrational numbers, Math, multiply, radicals, rationalize, rationalizing the denominator, square roots
Posted in Algebra | No Comments »
Tuesday, September 8th, 2009
How to Multiply Matrices Using Matrix Multiplication
Description
This video explains the difference between addition/subtraction and multiplication of matrices. It also explains why there is such a difference. Several example problems are provided in the video, along with a clear explanation of the multiplication process.
Overview
Matrix multiplication is very different from addition and subtraction with matrices. Instead of combining the numbers from the same places, you must combine rows from the first matrix with columns from the second matrix. When you are looking for the number for the top left corner – the first number of your matrix – you will look at the top row of the first matrix and the first column of the second matrix. Say you have 2 matrices like this:
{a b} * {w x}
{c d} * {y z}
You will look at a and b, and w and y, to find your first term. The first number of your new matrix will be [(a * w) + (b * y)]. When you want to find the second term – the term still in the first row, but in a different column – you will switch you focus to the other column, while keeping your row of focus the same, and solve it in the same way. This must be done for every term in the matrices.
Tags: linear algebra, Math, matrices, matrix, matrix multiplication, multiplication, multiply
Posted in Algebra | No Comments »
Tuesday, September 8th, 2009
How to Solve Addition Problems with Fractions
Description
This video is a tutorial on how to add fractions that have different denominators. Several examples are provided in the video and all steps are laid out in an organized manner.
Overview
Adding fractions is not too complicated, but can sometimes be a bit of a problem if the fractions have different denominators. If the fractions have the same denominators then it is easy to add – you are only doing one problem.
Example: (a/b) + (c/b) = (a + c) / b
However, this method only works if you have both denominators set equal to each other. So if you are given fractions with different denominators, you must make them the same. You do this by finding the LCD – the Least Common Denominator. The LCD would be a multiple of both 4 and 6, and it is wisest to go with the lowest number you can find that fits that description. If you are working with small numbers, sometimes the best way is to simply multiply them together, and the number you get would be your LCD, and therefore the number you would use in your denominator. Now, when the numbers in the denominator change you must also change the number in the numerator. You do this by multiplication – whatever you do to the top must be done to the bottom.
Example: (1/2) + (2/3)
The LCD w0uld be 6, because 2 * 3 = 6.
(1/2) + (2/3) = [(1 * 3) / (2 * 3)] + [(2 * 2) / (3 * 2)] = (3/6) + (4/6)
Now you can solve this problem like a normal fraction addition problem.
Tags: add, addition, algebra, arithmetic, denominator, fractions, LCD, least common denominator, Math, multiply, negative, numerator, positive
Posted in Algebra, Arithmetic | No Comments »
