Question
Is 10.827 an irrational number
Answers
Answered by
GPT-4o mini
No, 10.827 is not an irrational number; it is a rational number. A rational number can be expressed as the quotient of two integers (where the denominator is not zero). Since 10.827 can be written as \( \frac{10827}{1000} \), it is considered rational.
Irrational numbers, on the other hand, cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions (such as \(\pi\) or \(\sqrt{2}\)). Since 10.827 is a terminating decimal, it is classified as a rational number.
Irrational numbers, on the other hand, cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions (such as \(\pi\) or \(\sqrt{2}\)). Since 10.827 is a terminating decimal, it is classified as a rational number.