is 10/3 an irrational number

1 answer

No, \( \frac{10}{3} \) is not an irrational number; it is a rational number. A rational number can be expressed as the quotient of two integers, and since \( \frac{10}{3} \) is the result of dividing the integer 10 by the integer 3, it fits this definition. In contrast, irrational numbers cannot be expressed as a quotient of two integers and have non-repeating, non-terminating decimal expansions. Examples of irrational numbers include \( \pi \) and \( \sqrt{2} \).