Final answer:
The question requires converting a verbal number description into decimal notation, which is 412.082. In calculations requiring rounding, it's essential to round to the place value of the least precise number used in the calculation. An example provided illustrates rounding to two decimal places, yielding an answer of 922.00.
Step-by-step explanation:
The student's question involves converting a number expressed in words into its numerical form and understanding place value and rounding. The number 'four hundred twelve and eighty-two thousandths' can be written in decimal form as 412.082. In questions that involve calculation, rounding might be required based on the given significant figures of the numbers involved in the calculation.
For example, if you are provided the calculation and the calculator answer is 921.996, but one of the numbers involved in your calculation is 13.77, which has its farthest-right significant figure in the hundredths place, you would need to round your final answer to the hundredths place as well. Since the first digit to be dropped is greater than five, the rounded answer would be 922.00.
It's crucial in mathematics to consider the significant figures of all numbers involved in your calculation to ensure that the final answer is as accurate as possible with respect to the given precision of the numbers.