Question

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

Answer 1

he Closure Property implies that the product of 4/5 and 15 is what type of number?
Responses

zero
zero

rational
rational

an integer
an integer

irrational
irrational

Answer 2

The Closure Property states that when you perform an operation (like addition, subtraction, multiplication, or division) on two elements of a certain set, the result will also be an element of that same set.

In this case, you're multiplying two numbers: \( \frac{4}{5} \) (a rational number) and \( 15 \) (an integer).

The product is calculated as follows:

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

The result, \( 12 \), is an integer.

Since both \( \frac{4}{5} \) and \( 15 \) are rational numbers, and the product of two rational numbers is also a rational number, we can conclude that:

- The product \( 12 \) is an integer, and therefore also a rational number.

So, the product of \( \frac{4}{5} \) and \( 15 \) is a rational number.

Answer 3

The product of \( \frac{4}{5} \) and \( 15 \) is \( 12 \), which is an integer.

Since every integer is also a rational number, the most specific response in your list would be "an integer." However, "rational" is also correct, as all integers are rational numbers.

Given the choices, the most accurate answer is:

**an integer**