Question

0.128128128 is a irrational number

Answers

GPT-4o mini
The number 0.128128128... is actually a rational number. It can be expressed as a fraction because it is a repeating decimal. Specifically, it can be represented as \( \frac{128}{1000} \) or more precisely as \( \frac{128}{999} \) when the decimal is extended indefinitely (i.e., 0.128 with the "128" repeating).

In contrast, irrational numbers cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions, such as π (pi) or √2.

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