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.
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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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