Question
Short-Answer Questions:
Explain why $0.15015001500015...$ is an irrational number.

Answer

The numbers which when expressed in decimal form are expressible as non-terminating and non-repeating decimals are known as irrational numbers.
Clearly, $0.15015001500015...$ is a non-terminating and non-repeating decimal.
Hence, it is irrational.

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