Name the subset(s) of real numbers to which each number belongs.

8.1π
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1 answer

8.1π belongs to the subset of real numbers called irrational numbers.

To show this, we need to review the definition of irrational numbers. An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers.

In this case, 8.1π cannot be expressed as a fraction or a ratio of two integers. Pi (π) is an irrational number, since its decimal representation goes on forever without repeating. Multiplying π by any number, including 8.1, will result in an irrational number.

Therefore, 8.1π belongs to the subset of real numbers called irrational numbers.