Let's carefully analyze the question step by step.
Step 1: Identify the Given Terms
We have two numbers:
[tex]\[ a = \frac{4}{5} \][/tex]
[tex]\[ b = 15 \][/tex]
Step 2: Calculate the Product
We need to find the product of these two numbers:
[tex]\[ \text{Product} = a \times b \][/tex]
Substitute the values:
[tex]\[ \text{Product} = \frac{4}{5} \times 15 \][/tex]
Step 3: Simplify the Multiplication
First, multiply the numerator [tex]\(\frac{4 \times 15}{5}\)[/tex]
[tex]\[ \text{Product} = \frac{60}{5} \][/tex]
Now, simplify the fraction:
[tex]\[ \text{Product} = 12 \][/tex]
Step 4: Determine the Type of Number
Now, let's classify the resulting number 12.
- A rational number is any number that can be expressed as the quotient or fraction of two integers.
- An integer is a whole number (positive, negative, or zero).
- An irrational number cannot be expressed as a simple fraction.
- Zero is a special integer that represents no quantity.
The number 12 is a whole number and, hence, it is classified as an integer.
Therefore, the product of [tex]\(\frac{4}{5}\)[/tex] and 15 is an integer.
