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A non-terminating, non-repeating decimal which cannot be written as a fraction is called an irrational number.

If the irrational number cannot be expressed the solution to a finite polynomial it is further called a transcendental number.

√2 is the solution to x^2 = 2, so it only called an irrational number.

e (the base of natural logarithms) can be calculated as the value of f(x) = 1 + x/(1!) + (x^2)/(2!) + (x^3)/(3!) + ... when x = 1, ie f(1) = e, and is a transcendental number.

π (the ratio of a circle's diameter to its circumference) is also a transcendental number.

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Q: What is it called when numbers that cannot be written as fractions are decimals that do not end or repeat?
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Related questions

What called integers?

Whole numbers without decimals or fractions are called integers.


Complete units without fractions or decimals are called?

Whole numbers which are called integers


What is it called when fractions terminating repeating decimals integers and percents called?

They are called rational numbers


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They are called rational numbers that can be expressed as fractions


What are numbers that cannot be written as a fraction numbers with decimals that do not end or repeat?

that is called an irrational number


What are numbers that can be written in the form a over b called?

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All whole numbers that are positive negative or zero are called?

They are called integers. Fractions and decimals are NOT integers, even if it has a positive or negative sign.


What numbers are also called natural numbers?

Natural numbers are non-negative whole numbers (no decimals or fractions). This would be 0, 1, 2, 3, 4, 5, 6, etc...


When were fractions discovered?

Historically, any number that did not represent a whole was called a "fraction". The numbers that we now call "decimals" were originally called "decimal fractions"; the numbers we now call "fractions" were called "vulgar fractions", the word "vulgar" meaning "commonplace". The word is also used in related expressions, such as continued fraction and algebraic fraction-see Special cases below.


What are numbers that can be written as fractions?

If the numerator and the denominator is an integer, then it is also called a "rational number".


What is a fraction or mixed number whose denominators are powers of 10?

Although fractions or decimals are not called this, they are, in fact, decimal fractions.


What are numbers called in between whole numbers?

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