## Rational numbers - what are their properties?

Rational numbers are those that we can write as a fraction of two integers. In rational numbers, the divisor is not zero. What is the difference between rational and irrational numbers? What are the properties of rational numbers?

## 1. What are rational numbers?

Rational numbers are numbers that can be written as a quotient of two integers, when the second number - the divisor, is other than zero.

We denote the set of rational numbers as Q and it is infinite. It includes all natural and integer numbers.

Examples of rational numbers would be 4, -20, 0.7 or 8. They can be written as a fraction, and so we get 4/1, -20/1, 7/10 or 8/1. Real numbers. Definition and properties

Real numbers are all rational and irrational numbers. We can equate them with points on the axis ...

## 2. Properties of rational numbers

What are the properties of rational numbers?

• rational numbers with multiplication, addition, zero and one constitute a body;
• in theoretical arithmetic, the body of rational numbers is defined as the body of fractions of the ring of integers;
• the set of rational numbers is a countable set - it is equal to the set of natural numbers;
• as a subset of the real number space R, rational numbers are dense in R. Natural numbers. Definition and rules

What is the definition of a natural number? What are some examples of natural numbers? Is zero natural? ...