Question

The Closure Property implies that the products of 4/5 and 15 is what type of number?

Answer 1

The Closure Property states that when two numbers from a specific set are combined using a particular operation (such as addition or multiplication), the result will also belong to that set.

In this case, you are multiplying the numbers \( \frac{4}{5} \) (a fraction) and \( 15 \) (an integer).

First, let's compute the product:

\[
\frac{4}{5} \times 15 = \frac{4 \times 15}{5} = \frac{60}{5} = 12.
\]

The result of the multiplication is \( 12 \), which is an integer.

Therefore, since both \( \frac{4}{5} \) (a rational number) and \( 15 \) (an integer) belong to the set of rational numbers, and their product \( 12 \) is also a rational number, we can conclude that the product of \( \frac{4}{5} \) and \( 15 \) is a **rational number**.

So, the type of number is **rational**.