The Closure Property implies that the product of [tex]\frac{4}{5}[/tex] and 15 is what type of number?

A. Zero
B. an Integer
C. Irrational
D. Rational



Answer :

To determine the type of number produced by multiplying [tex]\(\frac{4}{5}\)[/tex] by 15 according to the Closure Property, let's go through the steps involved:

1. Identify the two numbers:
- The fraction is [tex]\(\frac{4}{5}\)[/tex].
- The integer is 15.

2. Calculate the product of the two numbers:
[tex]\[ \frac{4}{5} \times 15 = 0.8 \times 15 = 12.0 \][/tex]

3. Evaluate the resulting product:
- The product calculated is 12.0.

4. Determine the type of the resulting number:
- The number 12.0 can be written as 12, which is a whole number.
- Since 12.0 is equivalent to 12, it is an integer.

Therefore, according to the Closure Property, the product of [tex]\(\frac{4}{5}\)[/tex] and 15 is an integer.