Posts Tagged ‘parenthesis’
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 »
Thursday, October 15th, 2009
Definition of Open and Closed Intervals
Description
A detailed tutorial on open and closed intervals. Step by step tutorial including several examples of open and closed intervals for reference.
Overview
An interval is a set of real numbers, expressed by an ordered pair. There are two types of intervals, open intervals and closed intervals. An open interval is an interval written with parenthesis. It implies that the endpoint is not included in the set. A closed interval is an interval written with brackets. It implies that the endpoint is included in the set. It is possible for one endpoint of an interval to be closed, and for the other to be open.
Tags: algebra, bounded, brackets, closed, coordinates, element, endpoint, interval, Math, open, ordered pair, parenthesis, real numbers, set
Posted in Algebra | No Comments »
Friday, September 11th, 2009
How to Factor by Grouping
Description
A detailed tutorial on how to factor by grouping. Step by step tutorial including several examples of how to factor by grouping for reference.
Overview
There are many different ways to factor, but one of the easiest ways is to factor by grouping. If you factor by grouping, it means that you are given (or split terms up into) 4 terms, and then split those 4 terms into two groups each consisting of 2 terms. Put parenthesis around these groups. Here’s an example:
axt + ax – at – a = (axt + ax) – (at – a)
Now you want to pull something out of the parenthesis. Whatever is left in your parenthesis should be exactly the same for both sets of parenthesis – it doesn’t matter if what was pulled out is different. Then, you create another set of two parenthesis and multiply them together – form two binomials that you could solve by FOIL, basically. In the first set goes what you pulled out of the parenthesis, for instance if you pulled a 4x out of one and a -5 out of the other, your first set would be (4x – 5). The second set of parenthesis is whatever was left in your parenthesis on your first set. Now you can solve the problem how you would normally would solve a factoring problem.
Tags: algebra, binomials, factor, factor by grouping, factoring, grouping, Math, multiplication, parenthesis
Posted in Algebra | No Comments »
Tuesday, September 8th, 2009
How to Solve Equations by Using FOIL
Description
This video shows the correct way to multiply binomials together using the FOIL technique. A helpful hint for seeing if you matched up the terms correctly is given in the video. Content is laid out in an organized manner.
Overview
FOIL is a basic math function that stands for First, Outside, Inside, Last. It is like the Order of Operations – it gives you a set order to solve problems in. FOIL is used when you multiply two binomials together. Binomials are sets of parenthesis that have two added or subtracted numbers with variables in them. Here is an example of a problem that would need FOIL:
(a + b) (x – y)
You would use FOIL to multiply together different parts of the problem. We will highlight the parts of the problem in their correct order:
First: (a + b) (x – y)
Outside: (a + b) (x – y)
Inside: (a + b) (x – y)
Last: (a + b) (x - y)
Notice that the addition and subtraction signs are grouped with the last term in each set of parenthesis – this is very important if you expect to get the right answer. So, our problem can be simplified by writing it this way:
(a + b) (x – y) = (a * x) + (a * -y) + (b * x) + (b * -y)
Tags: algebra, binomials, F.O.I.L., First, FOIL, Inside, Last, Math, multiplication, Outside, parenthesis, terms
Posted in Algebra | 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 »
