A number that can be expressed as a ratio of two integers, x and y where y >0, is said to be rational.
A real number that is not rational is irrational.
The decimal representation of a rational number is either terminating or (after a finite number of digits) repeats a finite sequence for ever after. An irrational number has an infinite, non-recurring decimal representation.
The qualities of decimal representations also apply to representations in any integer base - for example, binary, octal, hexadecimal.
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In math, a rational number is one that can be expressed as the RATIO (or fraction) between two integers. This includes the integers themselves, and fractions such as 2/3, 7/5, -3/2, etc.An irrational number is one that can't be expressed exactly as a fraction. For example, the square root of 2 (indeed, the square root of any positive integer is either a whole number or an irrational number), pi, e, and combinations such as square root of 2 + 1, pi/4, etc.
Outside of math, "rational" means something that makes sense; "irrational" is something that doesn't.
A rational number is a number which can be expressed as a ratio of two integers: that is, ion the form p/q where p and q are integers. An irrational number is a real number which cannot be expressed in such a way.
No. A rational plus an irrational is always an irrational.
rational
It is always irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.