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.

Recruitment Video is an Important Part of an Employment Branding Strategy

Video is the # 1 form of Internet communication and can be one of the most effective medium organization uses to build its employment brand. Recruitment videos posted on an organization's career site, distributed via podcasts and posted on YouTube and social networking sites can create excitation for the organization by allowing potential candidates to experience an organization's corporate culture, values, see multiple employees' passion for the organization and see what it's like to live and work in the organization. Google's recruitment video "An inside look at Google" as been viewed over a half million times on the Internet. Other organizations such as Yahoo, Microsoft, Cisco, IBM, JP Morgan, TiVo, the US Army and Home Depot have found great success using recruitment video. I recently read that studies have shown an effective recruitment video can increase passive candidate flow by up to 30%.

An organization's recruitment video is not a commercial and should not be scripted. The goal of the video is to give an inside look at the company and employees doing real work. A recruitment video should show real employees telling real stories about the organization. The video should also include a message from the CEO or an executive in the area of ​​the organization the video is targeted. The more real the video is the more effective it will be. An effective recruitment video should be 2 to 4 minutes in length. Remember you want a potential candidate to take action so make the video compelling and fun. When you create your recruitment video give potential candidates an avenue to respond by including a link to the organization's career site and if possible an e-mail address for candidates to forward their resume.

Recruitment video is a great way to increase employee referrals. Encourage employees to include a link to recruitment videos in their e-mail auto-signatures and individual FaceBook, LinkedIn, Ning, MySpace and other social networking site pages. We've discussed using viral marketing techniques to build employment branding. Ensure that those writing about the organization include a link to the organization's recruitment video.

Remember that your recruitment video is only as good as the employment site it directs potential candidates to. Potential candidates will visit an organization's employment site to confirm if what they hear about the organization is true, read detailed information about the organization, and submit their resume. The career site should clearly identify the organization's culture, values, vision, current job openings and benefit programs. The site should reflect an organization's brand and strengthen a candidate's desire to consider employment opportunities with the organization. Included on the site should be testimonials from employees that reinvigorate what potential candidates viewed in the video.

Adirondack All Weather Furniture – Choosing the Right Wood Type

Few people are aware of the fact that the idea for quality Adirondack all weather furniture began with a quest to find the perfect chair for relaxing on lazy summer evenings. This is why comfort is one of the very first things anyone thinks of when imagining an Adirondack chair or lounger. Aside from comfort, the other feature that most comes to mind when thinking about Adirondack all weather furniture is durability … why else would they call it all-weather !?

Because the original Adirondack chairs were originally designed for outdoor use at some lake cottage or similar retreat-the furniture had to be durable and was made from woods such as:

1. Cypress

2. Pine

3. Cedar

The use of cypress for construction purposes dates all the way back to ancient Egypt when the wood was a material for the construction of caskets for the first pharaohs. Today, cypress is a very common wood and used to make outdoor furniture like swings and various deck accessories. Cypress is also commonly used to make doors and windows as well because it has a conservative within the wood grain that helps it naturally repel insects and resist rot and decay which is why it is a popular choice when crafting quality-made Adirondack chairs and patio furniture .

Pine is another common wood used to make quality Adirondack all weather chairs and other seasonal outdoor furniture. Because of its abundance and reliably quick growth cycle, pine tends to be cheaper wood and is used extensively in the construction of many outdoor furniture pieces, including tables, benches, swings, chairs, and loungers. Pine tends to have a relatively low oil content and bids to that dry out easily, making it susceptible to cracking. However, when properly maintained, pine can be used to make premium Adirondack all weather furniture.

Cedar is a great wood when thinking about quality Adirondack outdoor furniture. Having a reddish brown color, cedar wood tend to be somewhat knotty and is actually a softwood. Cedar is naturally insect repellant and tend to have a very distinct aroma which can be managed with a sealer. However, quality Adirondack all weather furniture made from cedar is both beautiful and very durable making it an excellent choice when buying patio or deck chairs, tables, or accessories.

How To Search Google For Country Specific Results

Running an international online business with the capability to service people from any country means that you want your site to perform well not only in local country specific results but also global results. You may not realize this but doing a standard Google search and leaving the "full web" option selected does not necessarily give you your website's true location in the Google global results. It gives you the global results given your location.

For example, the results of doing a full web search in my home city of Brisbane Australia will be different to a full web search from Toronto Canada.

Google gives results based on your location even when you are not stipulating a local result. You can click your local country only result button and get sites that are from your home country, usually determined by the domain name extension, for example for Australia, .ca for Canada, etc. or the IP address of your web hosting server, or you can click the web option and get global Internet results that vary depending on your computer's location in the world (based on the IP address of the computer you are using to access the Internet).

Think Global

If your business can service the world then you really can not ignore the American marketplace, or if you are in the USA do not forget about Europe, Asia and the rest. Since you need to know how well your site is performing in Google global search results and unfortunately simply ticking the "the web" option in Google when searching can be misleading because your ranking will be different if it was someone in a different country doing the exact same search.

What you want to know is when someone in the UK does a Google search for one of your terms, how high is your website up in the search results? With this little trick you can figure it out.

The Code

All you need to do is add & gl = uk to the URL at the end of the Google search query.

For example: & gl = uk

This tells Google to spit out the results for the query based on UK servers.

I can not guarantee 100% conclusively that this works as I expect it does, but it definitely does something and you should try it yourself and see if your site shows up in a different place in the results. The "gl" stands for G eographic L ocation and of course you can exchange the last letters to test different country results around the world.