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.

What Are the Top 10 Tips for Small Business Branding?

Managing a business is not an easy job but promoting your business may be as hard as anyone else could ever imagine. And some small business owners thought that they have only limited things in order to manage and promote their business then they are definitely wrong. And some think that branding is for big businesses only then I will prove you wrong. And despite the business size, branding can be as effective as it can be. Here are the top 10 tips for small business branding.

The first one is to focus on the thing that you would like to establish, people won’t be attracted if you promote everything and anything under the sun, being an expert on one thing is what matters the most for the clients, making clients confused can never be a good idea, make them think on one important thing that stands your business.

The second one, is consistency on your performance. No one would love to patronize a company that doesn’t have consistency on its performance or on its quality. If you commit something to some clients, make sure you’ll do it, first impressions really lasts so better make sure to impress them positively and maintain it in order for you to have their loyalty.

The third one is to make an overview of your business at least on a one page document, letting them know how your business is running and what are your goals, mission and vision are very important tools in achieving for their approval, just be sure to make it brief and concise, no one will last if you write on plenty of flowering words, better to put on true informations.

The fourth one is, good treatment between you and your employees and between clients and employees as well, nothing can beat that.

The fifth one is, to remember that branding needs straight direction and longer maintenance and that there should be straight connection between the actual and the desired image.

The sixth one, join locally organized events and be one of the committees, it’s a good way to establish your image and business.

The seventh one is to blog, blogging is one of the great tools in establishing your business, making other people have an idea about it.

The eight one, you don’t have to depend everything to your logo, logo doesn’t make up the whole part of the business, so never spend too much time and effort on it, its just a part of the business.

And having your own company website is on the ninth place because obviously almost all people uses web, and the last one is not to depend too much on blogs, you must explore more over.

That’s the top 10 tips for small business branding Just don’t be afraid to give a try and to plan big for your business. And searching for branding tips can be easily done when you are eager to do it.

Food and Food Health

We all have passed through a phase, or are still in one where the mind still walks the streets of dilemma as to whether the salad in the afternoon can make up for the double cheese hamburger of last night. Whatever the calories gained through the chocolate pudding can be balanced through the oatmeal in breakfast.

A few years back, there was a stigma about having the perfect thin or muscular (as one prefers), flat-stomached body. There was this misconception that slim and trim is the way to look beautiful. But fortunately, this stigma and misapprehension is slowly and somehow being eliminated from the society. Today, every type of body is beautiful, whether it is a flat-stomach or a fat belly. But that does not give any of us the right to overlook the fact about eating healthy.

Eating healthy does not mean gulping down only chunks of vegetables and salads. Eating healthy does not mean being on a "diet". Eating healthy means providing the body every kind of nutrients to function properly. And it includes the Broccoli Soup one cringes to as well as the delicious classic double crust cheese-filled pepperoni pizza, everyone craves for.

REQUIREMENTS OF THE BODY

We all love eating, mainly the junk type, but sometimes realization hits us and we tend to understand that salads and vegetables and fruits are really important part of a diet. Every type of nutrient is needed to keep the body functions in its right place. Vitamins, proteins, minerals, carbohydrates, fats, roughage and water, these are the nutrients we need almost on a daily basis. I will not waste time by telling what these are and how each of them are important because this is something we all have learnt in six-grade science subject. But I do would like to mention some of the dishes that are delicious, healthy and contain all of the above nutrients in the right amount.

THE FINGER-LICKING CLASSIC CHICKEN SALTIMBOCCA

It is a delicious chicken preparation, which is roled up with prosciutto and mozzarella cheese and drenched in a tasty white wine pan sauce. It is a mouth-watering dish with the goodness of protein (found in chicken), fats (cheese) and the palatable white wine sauce. It can easily be garnished with vegetables, providing the wholesome richness of vitamins and minerals.

THE DELICIOUS UN-CHEESY POTATO BROCOLLI SOUP

The name may seem to have no part of it seem delicious- 'un-cheesy', the dreaded 'broccoli' and 'potato', but the taste seems to be contradictory It's not-so appealing name. It is a preparation which will fill the tastebuds with an explosion of flavor and its richness makes it almost hard to resist. The dish is a mixture of health and taste.

THE OH-SO YUMMY APPLE CINNAMON BREAKFAST BARS

This is the perfect preparation for all those fuzzy kids who refuse to eat any fruits. This flavorful dish is full of protein and fiber and a favorite among the children and adults alike.

THE IMPORTANCE OF FOOD HEALTH IN OUR LIFE

There is absolutely no need to state what importance food holds in the existence of an individual. As stated above, it does not matter if one is slim or fat, what matters is where the individual is eating healthy. Excess of nothing is good, especially not food. But we need to understand the right amount and the right kind of nutrients for our body needs, to stay healthy and to keep our loved ones healthy as well.

5 Things To Consider When You Buy Clothes For Your Baby

If you think that shopping for a baby is a simple affair, then it is time to think again. With so many options to choose from, it is difficult to make up your mind. Whether you are buying clothes for your child or for the children of your friends or relatives, you need to consider few factors.

The first and the most essential point that you must remember is that you should buy clothes that are at least one size ahead of the baby's present age. This is because babies grow very fast in the first few months and buying larger clothes will make sure that you can use them for a longer time.

The second important thing that you should take into account is the season when the baby will actually put on the outfit. If you are planning ahead and buying clothes for your newborn that it can wear in the near future, choose the specific range of outfits designed for different seasons.

The third factor in the list is to buy clothes that match your baby's need. As it is already said that babies grow very fast, do not buy very expensive outfits for it. Be realistic in your choice and choose outfits that are easy to put on and remove. Go for a bodysuit and a few pairs of comfortable pants, buy lots of bibs, booties and hats that your baby will need more often than any other designer dress. Pick the clothes that allow easy diaper change. Go for those dresses that have two pieces and do not opt ​​for single-piece outfits that do not allow you to access and change the baby's diaper easily.

The fourth thing in this list of discussion is to choose clothes that you can wash and dry very easily. Babies soil their clothes now and then and so it is important to buy out that that does not keep the stains or marks and are easy to clean.

Last but not the least, when you are buying clothes for your little one, make sure you choose clothes that you can use for both boys and girls. This is all the more important if you are planning to have more children in the future. You can reuse these clothes and save a lot of money.

Now that you know what to look for when you go shopping for your sweetheart, there is no chance of any confusion. Whether you shop online or offline, these points will guide you towards the right clothes for your baby.