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.
