Which phrase describes the decimal expansion of the following number?

Question

4π
(1 point)
Responses

a non-terminating, non-repeating decimal
a non-terminating, non-repeating decimal

a terminating decimal
a terminating decimal

does not have a decimal expansion
does not have a decimal expansion

a repeating decimal

Answer 1

The decimal expansion of \( 4\pi \) can be described as:

a non-terminating, non-repeating decimal

This is because \( \pi \) is an irrational number, meaning it cannot be expressed as a fraction and has a non-terminating, non-repeating decimal expansion. Thus, multiplying \( \pi \) by 4 will also result in a non-terminating, non-repeating decimal.