What is the relationship between decimals, integers and fractions?

All three are mathematical terms, all fractions can be expressed as decimals, and integers do not include decimals and fractions. The point in the decimal is called the decimal point, which is the dividing line between the integer part and the decimal part of a decimal. Decimals with integer part zero are pure decimals, and decimals with integer part not zero are decimals.

In the integer system, zero and positive integers are collectively called natural numbers. -1, -2, -3, …, -n, …(n is a non-zero natural number) are negative integers. Positive integers, zero integers and negative integers form an integer system.

In addition, if and only if the denominator of the simplest fraction contains only prime factor 2 or 5 or both, the fraction can be converted into decimal finite fraction. Similarly, a simplest fraction can be transformed into a finite fraction of the base of a positive integer if and only if the prime factor of its denominator is a subset of the prime factor of the base.

Extended data:

1, the nature of decimal:

Add or delete any zeros at the end of the decimal part, and the size of the decimal remains the same. For example: 0.4=0.400, 0.060=0.06. Move the decimal point to the right (or left) by n bits respectively, and the value of the decimal point will be expanded (or reduced) by n times. (for example, for decimal).

2, the characteristics of the integer:

(1) If the last digit of a number is a single even number, then the number can be divisible by 2.

(2) If the sum of all digits of a number is divisible by 3, then the integer can be divisible by 3.

(3) If the last two digits of a number are divisible by 4, then the number can be divisible by 4.

(4) If the last digit of a number is 0 or 5, the number can be divisible by 5.

(5) If a number is divisible by 2 and 3, it is divisible by 6.

3. Introduction to scores:

In fractions, the number of equal parts described is numerator, and the type or category of parts is denominator. In informal text, numerator and denominator can only be distinguished by their positions, but in formal text, they are always separated by fractional lines. The fractional line can be horizontal (such as), oblique (such as) or oblique (such as).

These marks are called horizontal line, diagonal line (US) or diagonal line (UK), divided diagonal line and fractional diagonal line respectively. In typesetting, scores with horizontal dividing lines are also called "en scores" or "nut scores", and scores with diagonal lines are called "em scores", which is the width of the lines they occupy.