Question

the closure property implies that the product of 4/5 and 15 is what type of number

Answer 1

The closure property states that when you perform an operation (like addition, subtraction, multiplication, or division) on two numbers from a specific set, the result will also belong to that set.

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

When you multiply:

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

The result, \( 12 \), is an integer, which is also a rational number.

Therefore, the closure property implies that the product of \( \frac{4}{5} \) and \( 15 \) is a **rational number**.