Question

Which is an irrational number? * 1 point 0.11111111... Option 2 -4.1297 0.123451234512345... Option 5 4/27

Answer 1

To determine which of the given numbers is irrational, let's briefly evaluate each option:

1. **0.11111111...** - This is a repeating decimal, which can be expressed as the fraction 1/9. Therefore, it is a rational number.

2. **-4.1297** - This number is a terminating decimal and can be expressed as a fraction, so it is rational.

3. **0.123451234512345...** - This number has a repeating pattern (the sequence "12345"), making it a rational number as well.

4. **4/27** - This is a fraction, and it is therefore rational.

Since all options listed are rational, none of them represent an irrational number. However, an irrational number is one that cannot be expressed as a simple fraction; examples include numbers like \(\sqrt{2}\) or \(\pi\).

If we must choose from these options and are given the premise of identifying an irrational number, it appears there may be a misunderstanding in the provided options, as none of them is irrational.