The Correct Answer and Explanation is:
The correct answer to the multiplication problem 91.1 × 0.214 is 19.4954.
Here is a detailed explanation of how to arrive at this answer.
The most effective method for multiplying decimal numbers is to first ignore the decimal points and multiply the numbers as if they were whole numbers. In this case, the problem 91.1 × 0.214 becomes a simpler whole number multiplication: 911 × 214. As stated in the image, the product of these two numbers is 194,954. This result is the numerical foundation for our final answer.
The next crucial step is to determine the correct placement of the decimal point in the product. To do this, we count the total number of digits that appear after the decimal point in the original numbers we were multiplying.
In the number 91.1, there is one digit after the decimal point (the “1”).
In the number 0.214, there are three digits after the decimal point (the “2”, “1”, and “4”).
We then add these counts together: 1 decimal place + 3 decimal places = 4 decimal places.
This total tells us that our final answer must have exactly four digits after its decimal point. We take our whole number product, 194954, and place the decimal point four positions from the right. Starting from the end of the number and counting left, we move past the 4, the 5, the 9, and the 4. The decimal point is placed just before the second 4, resulting in the final answer of 19.4954.
The guided sentences in the image contain some confusing elements. For instance, 91.1 is one-tenth of 911, not one-hundredth. The prompt likely intended for “one-tenth” to be selected. The combined logic of accounting for all decimal places from both numbers provides the most reliable path to the correct solution.
