To estimate the multiplication of \( 12.3 \times 4.8 \), we can round the numbers to make the calculation simpler.
- Round \( 12.3 \) to \( 12 \).
- Round \( 4.8 \) to \( 5 \).
Now, we calculate the estimated product:
\[ 12 \times 5 = 60 \]
Now let's assess the decimal places in the original numbers. The number \( 12.3 \) has one decimal place, and \( 4.8 \) also has one decimal place. When multiplying, the total number of decimal places in the product should equal the sum of the decimal places from the two numbers:
1 (from 12.3) + 1 (from 4.8) = 2
Therefore, when we multiply \( 12.3 \) and \( 4.8 \), we should expect the decimal point in the product \( 59.04 \) to be placed with two decimal places.
This aligns with our calculation of the estimate (60) being a little higher than the actual product (59.04), confirming that our placement of the decimal point in \( 59.04 \) is reasonable.
So, the result is: \[ \text{The decimal point in } 12.3 \times 4.8 = 59.04 \text{ is in the correct place.} \]