If you love studying mathematics, check **Facts about Rational Numbers**. Have you learned about rational number before? It is always defined as any number, which can be written with a fraction of quotient p/q. The q refers to the non-zero denominator, while the p refers to the numerator. We can say that the rational number serves for any integer because q probably is equal to 1. Let us check other interesting facts about rational numbers below:

## Facts about Rational Numbers 1: the rationals

The term the rationals is used to call a set of all rational numbers. The boldface Q is used to denote the rationals.

### Facts about Rational Numbers 2: who denoted the rationals?

Giuseppe Peano denoted the rationals into Q in 1895. It was taken from the Italian word of quoziente referring to quotient.

## Facts about Rational Numbers 3: the non rational numbers

The irrational number is a term used to call a real number, which is not rational.

Read Also: (**10 Facts about Zero Gravity**)

### Facts about Rational Numbers 4: the examples of irrational numbers

The f, e, p and v2 are some examples of the irrational numbers in mathematics.

## Facts about Rational Numbers 5: the irrational number in decimals

When an irrational number appears in a decimal expansion, it will come up without repetition.

### Facts about Rational Numbers 6: the countable and uncountable numbers

The countable numbers are spotted on a set of rational numbers. On the other hand, the uncountable ones are spotted on a set of real numbers.

## Facts about Rational Numbers 7: the real numbers

Do you know that most of all real numbers are included as the irrational numbers?

### Facts about Rational Numbers 8: the construction of real number

The rational number can be used to construct the real numbers by using infinite decimals, Dedekind cuts, and Cauchy sequences.

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## Facts about Rational Numbers 9: zero

If you think that zero is an irrational number, you are wrong. Actually, it is a rational number. If zero is divided by integer, it will always equal zero. The undefined result is seen if zero is divided by zero.

### Facts about Rational Numbers 10: the rational number in abstract algebra

The characteristic zero is represented by the rational numbers in abstract algebra along with other operations like multiplication and addition.

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