To solve the multiplication [tex]\(4 \times 7\)[/tex] on a 12-hour clock, let's go through the steps in a detailed manner:
### Step 1: Perform the Multiplication
First, we calculate the product of 4 and 7:
[tex]\[
4 \times 7 = 28
\][/tex]
### Step 2: Convert the Result to a 12-Hour Clock Format
Next, we need to find the equivalent time on a 12-hour clock. This is done by taking the result of the multiplication (which is 28 in this case) and finding the remainder when it is divided by 12. This operation is known as finding the modulus.
When we perform the modulus operation:
[tex]\[
28 \mod 12
\][/tex]
we are essentially looking for the remainder when 28 is divided by 12.
Divide 28 by 12:
[tex]\[
28 ÷ 12 = 2 \text{ with a remainder of } 4
\][/tex]
Thus, the remainder is 4. This means that 28 is equivalent to 4 on a 12-hour clock.
### Final Result:
So,
[tex]\[
4 \times 7 = 28
\][/tex]
and on a 12-hour clock, this equates to:
[tex]\[
28 \equiv 4 \mod 12
\][/tex]
Therefore, the solution is:
[tex]\[
4 \times 7 = 28 \quad (\text{which is } 4 \text{ on a 12-hour clock})
\][/tex]
So, the final answer is:
[tex]\[
4 \times 7 = 4 \quad (\text{on a 12-hour clock})
\][/tex]
