Definition of Rational Numbers
A Rational Number is a real number written as a ratio of integers with a non-zero denominator.
More About Rational Numbers
Rational numbers are indicated by the symbol Q
Rational number is written in form, where p and q are integers and q is a non-zero denominator.
All the repeating or terminating decimal numbers are rational numbers.
Rational numbers are the subset of real numbers.
Examples of Rational Numbers
3/5,10.3,0.6,12/5,3/4 - All these are examples of rational numbers as they terminate.
Video Examples: Definition of Rational Numbers
Solved Example on Rational Numbers
Ques: Identify a number that is a rational number but not an integer.
- B. 10.3
- C. - 3.523...
- D. -
Correct Answer: B
- Step 1: - 3.523... is a non-terminating and a non-repeating decimal number, so it is not a rational number.
- Step 2: = - 5 is a rational number and also an integer.
- Step 3: cannot be expressed as a quotient of two integers, so it is not a rational number.
- Step 4: 10.3 = 103 / 10 is a rational number, but not an integer.