Definitions for

**"Irrational number"****Related Terms:**Rational number, Irrational numbers, Rational numbers, Real number, Mantissa , Integers, Whole number, Multiple of a number, Integer, Floating-point number, Natural number, Counting numbers, Real numbers, Cardinal number, Multiples, Prime number, Decimal number, Numerator, Imaginary number, Googol, Complex numbers, Mixed number, Perfect number, Scientific notation, Square number, Rational, Fraction, Multiple, Even number, Number , Abundant number, Quotient, Deficient number, Natural numbers, Gaussian integer, Composite number, Divisible, Transcendental number, Decimal, Odd number, Numerical, Algebraic number, Exponent, Number , Denominator, Multiplicative inverse, Floating point, Mole, Identity, Complex number

A number that cannot be expressed either as a quotient of two integers or as a repeating or terminating decimal, for example, are irrational numbers.

A number that cannot be expressed as a repeating or terminating decimal Example: pi and the square root of 5

A number that is not rational.

a real number that cannot be expressed as a rational number

a cut separating all rational numbers into two classes, an upper and lower class ( set )

a non-repeating, non-terminating decimal

a number that cannot be expressed as a fraction for any integers and

a number that cannot be expressed in the form (a / b) where a and b are integers

a number that cannot be written as a simple fraction - it's decimal goes on forever without repeating

a number that you cannot conceptualise

a number which cannot be expressed exactly in any algebraic or arithmetical form

a number with a decimal that neither terminates or repeats

a real number that cannot be reduced to any ratio between an integer and a natural number

A number that cannot be written as a simple fraction. It is an infinite and non-repeating decimal.

number that cannot be expressed as (a / b) where b is not equal to zero

A number that cannot be expressed as a repeating or terminating decimal. Example: 21/2 = 1.414213562... .

a real number whose decimal representation neither repeats nor terminates; may also be defined as a real number which cannot be expressed in fraction form as a/b where a and b are Integers (e.g., both Ö and are irrational)

A number that cannot be expressed as the ratio of two integers. The first irrational number to be discovered was the square root of 2. "Most" real numbers are irrational.

a number that cannot be written in fraction form. For example, the number cannot be written in fraction form.

a real number that cannot be expressed as a ratio of two numbers (e.g., þ).

An irrational number is a number that cannot be written as a fraction (like a/b, where a and b are whole numbers and b is â‰ 0). For example, the square root of 2 is an irrational number.

A number that cannot be expressed as a quotient of two integers, e.g., âˆš2. It can be shown that a number is irrational if and only if it cannot be written as a repeating or terminating decimal.

s - nonrational numbers

A number that cannot be represented as an exact ratio of two integers. For example, the square root of 2 or p .

A number which cannot be represented in fractional form,such as PI (3.14159..).

A real number that cannot be represented as a fraction.

A real number that cannot be represented as an exact ratio of two integers. The decimal form of the number never terminates and never repeats. Examples: The square roots of 2 or Pi.

In mathematics, an irrational number is any real number that is not a rational number, i.e., it is a number not of the form n/m, where n and m are integers. Almost all real numbers are irrational, in a sense which is defined more precisely below.

A number in which the decimal portion never ends and doesn't repeat (Dec. 14, p. 8)
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