Question

The Closure Property implies that the product of 4/5 and 15 is what type of number?(1 point)
Responses

Answer 1

The closure property refers to the idea that when you perform an operation (like addition, subtraction, multiplication, or division) on numbers from a certain set, the result will also be a member of that set.

In this case, you are multiplying \( \frac{4}{5} \) (a rational number) by 15 (an integer). The product is:

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

Here, 12 is an integer. Since both rational numbers and integers are subsets of the real numbers, we can say:

- The product of \( \frac{4}{5} \) and 15 is an **integer**.

Thus, the answer to the question is that the product is an **integer**.