Fractions and rational numbers – What's the difference?

Most of us are going through math courses and are still confused about some basic things. For example: Why can not you break zero? Why is .999 … equal to 1, not less?

There are many such questions that would not be a cause for frustration if they learned sensibly and clearly. 19659002] Unfortunately, most of these things are supposed to be covered in primary school, and most primary school teachers do not have a good understanding of mathematical concepts. Instead, they only have to teach a collection of "skills".

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

is a number that expresses part of the whole as a part of numbers (where the denominator is not zero)

A is a number that can be expressed as part of numbers (where the denominator is not zero), or as a decimal or recurring decimal. Each part corresponds to the first part of this definition. Therefore, each fraction is a rational number

But although each fraction is a rational number, not every rational number is a small fraction

Why? Think about this:

Each number (all integer numbers including zero and their negatives ….- 3, -2, -1, 3 …) is a rational number because it can be expressed as a part of numbers, as in the case of 4 = 8/2 or 1 = 3/3 or -3 = 3 / -1, n. Thus integers such as 4 or 1 can be expressed as part of numbers. But the number is not part . 4 is an integer but is not a part. 4 is not expressed as a coefficient of numbers. The difference here is in the text

Fragment is a number that expresses part of the whole. The integer does not express part. may be expressed as part of numbers or as part of the whole, but the fraction is a number that is (must be) expressed as part of numbers or as part of the whole – difference. The difference is insignificant but real

There are a few different variants of the definition of a fraction, including: "Share is the ratio of two integers, or simply say, an integer divided by the other integer."

This definition also indicates that an integer is not part because the number is not a ratio. He can be expressed as a ratio, but is not a ratio by itself; can be divided into another integer, but is not divided. In short, fractions are a subset of rational numbers. Rational numbers contain numbers and no fractions.



Source by Brian Foley