Fractions and Rational Numbers – What is the Difference?

Most of us go through years of school math courses and still are confused about some basic things. For example: Why can not you divide by zero? Why is .999 … equal to 1, and not a bit less?

There are loads of these kinds of questions, that would not be a cause of frustration at all, if they were taught reasonably and clearly.

Unfortunately most of these things are supposed to be covered in elementary school, and most elementary school teachers do not have a good understanding of basic math concepts. Instead they are supposedly to teach just a collection of "skills."

One of the simplest concepts that is usually left inadequately explained is the difference between fractions and rational numbers. Let's see if we can clear it up now.

A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).

A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.

But even though every fraction is a rational number, not every rational number is a fraction.

Why? Consider this:

Every integer (all the whole numbers, including zero, and their negatives ….- 3, -2, -1, 0, 1, 2, 3 …) is a rational number , because it can be expressed as a quotient of integers, as in the case of 4 = 8/2 or 1 = 3/3 or -3 = 3 / -1 and so on. So integers such as 4 or 1 can be expressed as the quotient of integers.

But an integer is not a fraction . 4 is an integer, but it is not a fraction. 4 is not expressed as the quotient of integers. The difference here is in the wording.

A fraction is a number that expresses part of a whole. An integer does not express a part. It only expresses a whole number.

A rational number is a number that can be expressed as a quotient of integers, or as part of a whole, but fraction is a number that is (must be) expressed as a quotient of integers, or as part of a whole – there is a difference. The difference is subtle, but it is real.

There are slightly different variations of the definition of a fraction, including, "A fraction is the ratio of two whole numbers, or to put it simply, one whole number divided by another whole number."

That definition also shows that an integer is not a fraction, because an integer is not a ratio. It can be expressed as a ratio, but it is not a ratio in itself; it can be divided by another whole number, but it i s not being divided.

In a nutshell, the fractions are a subset of the rational numbers. The rational numbers contain the integers, and fragments do not.

Conspiring Against an Employee

Some of us are happy with the job we have and are content with or even love what we do. Some of us are not happy with our job and it frustrates us the more we perform at work. Whether you like your job or not you primarily work for a paycheck. When conditions at work are so stressful that you find it difficult to work for your paycheck you might want to consider your work environment situation.

In some cases, employees are victims of conspiracies in the workplace. It may sound like something out of a workplace drama series, but it is a common deterrent of progress and ultimately a very unprofessional practice in the workplace.

We can pretend that drama doe not exist at work, but the truth is work is run by people. It is part of the human condition to play favorites and disrespect others. When this sort of unprofessionalism arises in an employer or employee, there is a great chance that he or she will attempt to gather additional employees on his or her side to rally against another employee in secret. This is a conspiracy.

Harassment

A conspiracy against an employee is almost always used to harass. Harassment is any conduct that will lead to the victim to feel unsafe, threatened, persecuted, or distressed. When an employer brings employees together to play a harmful role against an employee, he or she has a personal feud against that individual. This may be due to race, religion, gender, appearance, or anything that he or she does not like about that individual.

Harassment is used as a tool to single someone out and make them feel unwanted or embarrassed in the workplace. An employee may feel that he or she is underperforming at work and that his or her opinions are not of value.

Coercion

Most people who would like to see someone leave the workplace that know there are not sufficient grounds to fire him or her, will coerce the employee into resigning by use of conspiring. If someone starts to feel an incredible amount of stress at work and unwanted, he or she will more than likely resign. This is one of the main goals employers and employees try to achieve when conspiring against an employee.

For additional resources on conspiring in the workplace and legal avenues available for victims, contact the Houston employment lawyers of the Ross Law Group.

How To Start A Restaurant Business

First of all you will need to think about the type of restaurant you want to open. Primarily, restaurants are grouped into three categories: quick service or fast food, midscale where you will get a good meal for a good price, and upscale with plenty of charm and fancy cuisine. This will also be dependent upon the type of food you want to serve, and the type of customers frequent the area.

One idea is to open an ethnic restaurant such as, Italian, Mexican, French, etc.. You can open an ethnic restaurant in any of the three categories, but before you choose take a look at the demographics of your area. You may want to take a demographic survey so you can get information on:

o The ages of the customers that will eat at your restaurant business.

o What types of ethnic groups live in the surrounding area.

o The occupations and income levels near your restaurant business.

o How many people will be interested in the type of food you will be serving.

o What are the needs, in terms of services or products, of the people in your area? Will you get enough business in the area you are planning to put your restaurant business?

A competitive analysis will show you what other restaurant business are in the area and what type of competition they will give you. You can do this by going to the restaurants as a customer, and checking out the menu to see how much they charge for their food and drink. This will help you decide how much to charge for your fare. To start your competitive survey, you should check the phone book and yellow pages in that area that have a restaurant business in the same category as yours.

The type and size of your restaurant business will determine the amount or size of the following:

o What you will need in the line of equipment.

o How many pieces of dishware, glassware, flatware, linens and napkins, you will need.

o Cooler, freezer, and storage size.

o How large your building will need to be.

o How many employees you should hire.

o How much parking you will need.

o What you will need in the line of advertising.

What will you call your restaurant business? The choice of a name should be one that reflects what you sell and will help you sell your goods. You will want all of your customers to be able to pronounce and spell the name to look it up in the phone book, or when writing a check. The name should be more creative than the competition, and represents the type of menu you are offering.

Make sure you are not stepping on someone else, check to see if the name you have chosen has been registered to someone else under a trademark. If it isn’t, make sure that you register the name with your county clerk. You should also check with the federal government to see that there are no trademarks registered through them with the name you have chosen. You can be sued for using an already registered name.

Choosing Ringbearer Gifts Does Not Have to Be A Bear

The significance of wedding rings is best illustrated in people's fear of losing them. There are people who boast of having never removed their wedding ring since their wedding day, though this is sometimes due to changes to their weight since they said, "I do." But really, how important are wedding rings? Moreover, how many times have we heard of what a nightmare it is to lose your ring? We hear stories of people losing their rings in the labyrinth of pipes underneath the kitchen sink. Then, there was the movie "American Wedding," in which wacky Steve Stiffler accidentally feeds the bride's wedding ring to a dog. Clearly, wedding rings are very important. Consequently, even though the ringbearer is one of the shortest members of the bridal party, his is the task of the tallest order. So, when you choose ringbearer gifts, keep in mind the critical role that your ringbearer plays.

The Ringbearer
The use of ringbearers is fairly modern. They tend to be young brothers or nephews of the bride or groom, and usually range in age from 5 to 10. In weddings that are formal, the ringbearer, or pageboy, has one of two different functions. First, the ringbearer might carry the bridal party's rings on a huge white satin pillow. Boys will be boys, and almost anything could happen during his waddle down the aisle. Usually, the best man himself secures the rings, or thread is used to attach the rings onto the ringbearer's pillow.

Another function of the ringbearer is to carry the bride's train, if it is lengthy.

The Basics
Whether the ringbearer totes the rings or holds the train, make him feel special through your choice of ringbearer gifts. For example, consider what your ringbearer likes. Here are some ringbearer gifts that might ring well with him.

Ring Bearer Fun Box Gift: This is decorated to look like a Ringbearer's tuxedo. Inside it is fun games, cookies, and candies.

Ringbearer Baseball Cap: This will remind the boy that he was in the starting lineup of the wedding ceremony.

Space Magic Cookie Pot: This is a bouquet that is packed with cookies and candies. What kid says no to sweets?

Ringbearer Activity Tote Bag: This is a fabric bag with several gift items inside.

Personalized Gifts
Aside from the obvious height difference, kids and adults are not too different from each other. Like adults, kids want to feel special, too. Personalized ringbearer gifts help you do just that. Here are a few personalized ringbearer gifts to consider.

Personalized Baseball: This will make any little leaguer feel like a big leaguer. The ball is mounted on a walnut-finish stand.

Ringbearer T-shirt: This will let your mini lord of the rings remember the special day. How could he not with his name is printed on the shirt?

Personalized Silver Plated Yo-Yo: Give a new twist to the old toy! Each time your ringbearer uses this ringbearer gift, he will remember his walk down the aisle.

Being the ringbearer in a wedding can be daunting for any youngster. Help your ringbearer enjoy the task by giving him a well-thought out ringbearer gift. Carefully chosen ringbearer gifts will make your wedding day one that will always ring a bell in your little ringbearer's mind.