Question

Покажите, что любая десятичная дробь является рациональным числом. СРОЧНО.

Answer 1

Рациональным является число которое представлено дробью
Пример:
0.5-5-числитель 10-знаменатель (ноль целых пять десятых)
количество знаков после запятой показывает нулей в знаменателе после единицы
 

Answer 2

Any Decimal Fraction is a Rational Number

A decimal fraction is a number that has a decimal point followed by digits. It can be written in the form of a fraction, where the numerator is the decimal number without the decimal point and the denominator is a power of 10.

For example, the decimal fraction 0.5 can be written as the fraction 1/2, where the numerator is 1 and the denominator is 2. Similarly, the decimal fraction 0.25 can be written as the fraction 1/4, where the numerator is 1 and the denominator is 4.

In general, any decimal fraction can be expressed as a rational number, which is a number that can be written as the ratio of two integers. This is because decimal fractions can always be converted into fractions with integers as the numerator and denominator.

Let's consider an example to illustrate this:

Example: Take the decimal fraction 0.75. We can convert it into a fraction by writing it as 75/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 25. So, 75/100 simplifies to 3/4, which is a rational number.

Therefore, we can conclude that any decimal fraction can be expressed as a rational number.