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Math K-Plus

Definition Of Rational Number

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What Denotes A Rational Number


In mathematics, a Rational Number is any number that can be expressed as a Fraction - Proper Fraction or Improper Fraction. Most importantly, all fractions (numerator/denominator) are considered rational numbers provided the denominator is not zero.


Another important fact of arithmetic, the denominator may be equal to 1, which means every integer is a rational number. Simple example: 10/1 = 10. This means all integers are always rational numbers. Rational Numbers are the opposite of Irrational Numbers.



Examples
Numerical Example Rational Number
35711131719/0 No - any number divided by zero is undefined!
37 Yes
12/5 Yes (2.4)
0.123456789 Yes
√2 No - no fraction can produce the same number as √2.