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

Question

Quizplus · Accepted Answer

Based on the given options, the difference between the original number and the approximated number is in the fourth block of digits. Since we want to approximate to the nearest thousandth, we need to consider the decimal point in the fourth block of digits. The differential is the smallest possible change in the fourth block of digits, which is 0.001. Therefore, we add 0.001 to the original number to get the approximated number. Only option C has the correct addition of 0.001 that leads to the nearest thousandth approximation.

Use a Differential to Approximate the Quantity to the Nearest