Use a differential to approximate the quantity to the nearest thousandth.

Question

Quizplus · Accepted Answer

Since we are asked to approximate the quantity to the nearest thousandth, we need to consider the third decimal place. The digit in the third decimal place can be changed by a maximum of 0.0005 with a differential. In this case, we need to change the eighth digit after the decimal point from 7 to 8 to move the third decimal place by one place to the right. Therefore, the best choice is C, where the eighth digit is changed from a to c (a difference of 4 in hexadecimal is equivalent to a change of 1 in the corresponding decimal place).

Use a Differential to Approximate the Quantity to the Nearest