Question

Объясните доступным языком как отличить рациональные числа от нерациональных

Answer 1

Рациональное число, представляемое обыкновенной дробью
Иррациональное число — это  число, которое не является рациональным, то есть не может быть представлено в виде дроби

Answer 2

How to Distinguish Rational Numbers from Irrational Numbers

To distinguish between rational and irrational numbers, it's important to understand the fundamental differences between the two types of numbers.

Rational Numbers: Rational numbers are numbers that can be expressed as the quotient or fraction p/q of two integers, where q is not equal to 0. In other words, a rational number is any number that can be written in the form p/q, where p and q are integers and q is not equal to 0. Rational numbers can be terminating or repeating decimals.

Irrational Numbers: Irrational numbers, on the other hand, cannot be expressed as a simple fraction or quotient of two integers. They are non-repeating, non-terminating decimals and cannot be represented as a simple fraction.

Distinguishing Characteristics

1. Form of Representation: - Rational numbers can be represented as fractions or quotients of two integers. - Irrational numbers cannot be represented as fractions or quotients of two integers.

2. Decimal Representation: - Rational numbers can be represented as terminating or repeating decimals. - Irrational numbers are represented as non-terminating, non-repeating decimals.

3. Examples: - Examples of rational numbers include 1/2, 3/4, 5, and -7. - Examples of irrational numbers include √2, π (pi), and e (Euler's number).

In summary, rational numbers can be expressed as fractions of two integers and have terminating or repeating decimals, while irrational numbers cannot be expressed as simple fractions and have non-terminating, non-repeating decimals.

I hope this explanation helps you distinguish between rational and irrational numbers!