Name the subset(s) of real numbers to which each number belongs.
8.1π
Show your work.
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.