Question

Which number is rational? (1 point)
Responses

0.23242526...
0.23242526...

0.98989898...
0.98989898...

2√/4
the fraction with numerator square root of 2 and denominator 4

15−−√

Answer 1

To determine which of the given numbers is rational, we need to identify whether each one can be expressed as a fraction of two integers (i.e., in the form \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \)).

1. **0.23242526...**: This number appears to be a non-repeating decimal. Non-repeating decimals are irrational numbers.

2. **0.98989898...**: This is a repeating decimal (it repeats the digits "98"). Repeating decimals can be expressed as fractions, so they are rational.

3. **2√/4**: This expression simplifies to \( \frac{\sqrt{2}}{4} \). The square root of 2 is an irrational number, so this entire expression is irrational.

4. **15−−√**: The square root of 15 is also an irrational number.

Thus, the rational number among these options is:

**0.98989898...**