Most of them continue school math courses for years and are still confused about some basic things. For example: Why can not you share with zero? Why is .999 … equal to 1, and not less?

There are many such questions that do not cause frustration when they are reasonably and clearly taught. 19659002] Unfortunately, most of these things have to be addressed in primary school, and most elementary school teachers have no thorough knowledge of basic mathematical concepts. Instead, only a "skill" collection should be taught.

One of the simplest terms that is generally not given correctly is the difference between fractions and rational numbers. Let's Now Clarify

The fraction ** ** is a number that expresses a whole part as integers (where the denominator is not zero).

The rational number ] is a number that can be expressed as a quotient of integers (where the denominator is not zero) or a repeating or ending decimal value. Each faction fits in the first part of the definition. Therefore, each faction is a rational number.

But though each faction is a rational number, not all rational number fractions.

Why? Consider this:

* All *

**integers**(integer, including zero value and their negatives …- 3, -2, -1, 0, 1, 2 , 3 …)

**because it can be expressed as the ratio of integers such as 4 = 8/2 or 1 = 3/3 or -3 = 3 / -1, and so on. So the integers can be expressed as the ratio of integers to 4 or 1 integers.**

*is a rational number* * But a whole number is not a fragment *. 4 is an integer, but this is not a fragment. 4 is not the ratio of integers. The difference is in the text.

A fraction is a number that expresses a whole part of it. An integer is not an explicit part. They only express an integer

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

The definition of the fraction is slightly different, for example, "The fraction is a ratio of two integers or simply an integer divided by another integer."

* This definition also shows that an integer is not a fragment, because an integer is not a ratio. The ratio can be expressed in proportion, but not * by itself;

*can be shared with another integer, but not*

*Students within the fractions are rational numbers. Rational numbers include whole numbers and no fractions.*