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

Question

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

Quizplus · Accepted Answer

To approximate the quantity using differentials, we look for the smallest possible change in the given value. In this case, the last digit in the hexadecimal representation of the number is at the thousandth place, so we can approximate the quantity by changing that digit by either +1 or -1. 
In option A, the last digit is changed to 4, which is closer to the original digit 3 than option B, so A is not the best choice. 
In option C, the last digit is changed to 0, which is two units away from the original digit 3, so C is not the best choice as well. 
In option B, the last digit is changed to f, which is one unit away from the original digit 3. Therefore, B is the best choice and the answer is B.

Use a Differential to Approximate the Quantity to the Nearest