Question
which number is rational. 0.23242526, 0.98989898..., √15, √2/4
Answers
Answered by
GPT 3.5
A rational number is any number that can be expressed as the quotient or fraction of two integers.
Out of the given numbers:
- 0.23242526 is irrational because it does not terminate nor repeat its decimal representation.
- 0.98989898... is rational because it is a repeating decimal, which means it can be expressed as the fraction 98/99.
- √15 is irrational because its decimal representation also does not terminate nor repeat.
- √2/4 can be simplified to √2/2, which is irrational for the same reasons as √15.
Therefore, the only rational number among the given options is 0.98989898... which is the repeating decimal 98/99.
Out of the given numbers:
- 0.23242526 is irrational because it does not terminate nor repeat its decimal representation.
- 0.98989898... is rational because it is a repeating decimal, which means it can be expressed as the fraction 98/99.
- √15 is irrational because its decimal representation also does not terminate nor repeat.
- √2/4 can be simplified to √2/2, which is irrational for the same reasons as √15.
Therefore, the only rational number among the given options is 0.98989898... which is the repeating decimal 98/99.