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What are real numbers, rational numbers and irrational numbers in mathematics?
Real numbers can be divided into rational numbers and irrational numbers, or algebraic numbers and transcendental numbers, or positive real numbers, negative real numbers and zero. Infinitely cyclic decimals and numbers with infinite roots are called irrational numbers. Integers and fractions are collectively called rational numbers, including integers and fractions, and can also be expressed as finite decimals or infinite cyclic decimals.

What is a real number rational number irrational number Real numbers can be divided into rational numbers and irrational numbers, or algebraic numbers and transcendental numbers, or positive real numbers, negative real numbers and zero. Rational numbers can be divided into integers and fractions, and integers can be divided into positive integers, zero and negative integers. Scores can be divided into positive scores and negative scores. Irrational numbers can be divided into positive irrational numbers and negative irrational numbers. A set of real numbers is usually represented by the letter r or r n, and r n represents an n-dimensional real number space. Real numbers are uncountable.

What is a rational number? Integers and fractions are collectively called rational numbers.

Include integers and fractions, and can also be expressed as finite decimals or infinite cyclic decimals.

This definition applies to decimal and other decimal (such as binary) numbers.

Mathematically, a rational number is the ratio of an integer a to a nonzero integer b, which is usually written as a/b, so it is also called a fraction. The Greek name is λ ο γ ο? The original meaning is "rational number", but the Chinese translation is not appropriate, and it has gradually become "rational number". Real numbers that are not rational numbers are called irrational numbers.

The set of all rational numbers is expressed as q, and the fractional part of rational numbers is finite or cyclic.

What is an irrational number? Irrational number, also known as infinite acyclic decimal, cannot be written as the ratio of two integers. If written in decimal form, there are infinitely many digits after the decimal point, which will not cycle. Common irrational numbers include the square root, π and E (the latter two are transcendental numbers) of incomplete square numbers. Another feature of irrational numbers is the expression of infinite connected fractions. Irrational numbers were first discovered by a disciple of Pythagoras.