Question
Which phrase describes the decimal expansion of the following number?
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
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
Answers
GPT-4o mini
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.
**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.