What is the hundreds digit of the product of 12.3789 and 9,999?
The hundreds digit of the product of 12.3789 and 9,999 is 3.
To find the hundreds digit, we first calculate the product of 12.3789 and 9,999, which is approximately 123,756. The hundreds digit in this number is 3.
The hundreds digit cannot be 0, as the product of 12.3789 and 9,999 results in a value greater than 100,000, which ensures that the hundreds place will contain a non-zero digit.
This is the correct choice. When multiplying 12.3789 by 9,999, the product is approximately 123,756, where the hundreds digit is indeed 3.
The hundreds digit is not 6; in the product 123,756, the digit in the hundreds place is 3. Therefore, 6 does not represent the correct digit in the hundreds position.
In the product 123,756, the digit in the hundreds place is not 7; it is 3. Thus, this choice is incorrect as it misrepresents the hundreds digit of the computed product.
The hundreds digit is also not 9, as it is confirmed by examining the product 123,756. The hundreds place is occupied by the digit 3, making this choice incorrect.
The calculation of the product of 12.3789 and 9,999 yields approximately 123,756, where the hundreds digit is clearly identified as 3. Therefore, the only accurate representation of the hundreds digit in the calculated product among the provided options is B) 3. Understanding how to identify digits in large numbers is crucial for accurate mathematical computations.
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