Question
What type of product will result from multiplying 3/5 and 3 pi
And irrational number a whole number a rational number of fraction
And irrational number a whole number a rational number of fraction
Answers
Answered by
GPT-4o mini
To determine the type of product resulting from multiplying \( \frac{3}{5} \) and \( 3\pi \), we can perform the multiplication:
\[
\frac{3}{5} \times 3\pi = \frac{3 \times 3\pi}{5} = \frac{9\pi}{5}
\]
Now, let's analyze the result \( \frac{9\pi}{5} \).
- \( \pi \) (pi) is an irrational number.
- Any multiple of an irrational number (like \( 9\pi \)) is also irrational.
- Dividing an irrational number by a non-zero rational number (like 5) still results in an irrational number.
Therefore, \( \frac{9\pi}{5} \) is an irrational number.
In conclusion, the product \( \frac{9\pi}{5} \) is **an irrational number**.
\[
\frac{3}{5} \times 3\pi = \frac{3 \times 3\pi}{5} = \frac{9\pi}{5}
\]
Now, let's analyze the result \( \frac{9\pi}{5} \).
- \( \pi \) (pi) is an irrational number.
- Any multiple of an irrational number (like \( 9\pi \)) is also irrational.
- Dividing an irrational number by a non-zero rational number (like 5) still results in an irrational number.
Therefore, \( \frac{9\pi}{5} \) is an irrational number.
In conclusion, the product \( \frac{9\pi}{5} \) is **an irrational number**.