Question

What type of product will result from multiplying 3/5
and 3π
?(1 point)
Responses

a rational number
a rational number

a fraction
a fraction

an irrational number
an irrational number

a whole number

Answer 1

To determine the type of product that results from multiplying \( \frac{3}{5} \) and \( 3\pi \), we can analyze the components:

- \( \frac{3}{5} \) is a rational number.
- \( \pi \) is an irrational number.

When you multiply a rational number by an irrational number, the product is always an irrational number.

Now, let's perform the multiplication:

\[
\frac{3}{5} \times 3\pi = \frac{3 \times 3\pi}{5} = \frac{9\pi}{5}
\]

Since \( \pi \) is irrational, \( \frac{9\pi}{5} \) is also irrational.

Thus, the product \( \frac{3}{5} \times 3\pi \) results in:

**an irrational number**.