Back to Number Sense
Rational and irrational numbers
Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.
Learn it A rational number can be written as a fraction of two integers: every terminating or repeating decimal is rational. An irrational number's decimal never ends and never repeats, like $\sqrt{2}$, $\sqrt{10}$ and $\pi$.
Example: Is $\sqrt{50}$ rational?
- 50 is not a perfect square ($7^2 = 49$, $8^2 = 64$).
- So $\sqrt{50}$ is a never-ending, non-repeating decimal (about 7.07…).
- It is irrational, and it lies between 7 and 8.
Loading questions…