Approximate the sum to the indicated accuracy. (five decimal places)

Question

Approximate the sum to the indicated accuracy.  (five decimal places)

Quizplus · Accepted Answer

The given number is very large and it is not feasible to find the exact sum. However, we can use rounding to approximate the sum to the desired accuracy. Looking at the options, we need to add a value to the given number to get the approximate sum. To do this, we can look at the last few digits of the given number and try to round them appropriately. The last digit is 8, which means we need to add something between 0.5 and 1 to round it to 9. The second last digit is F, which corresponds to 15, so we need to add something between 7.5 and 8 to round it to 23. Continuing this process, we can see that we need to add something between 0.5 and 1 to the fourth last digit, and between 0.4 and 0.5 to the fifth last digit. The options which satisfy these conditions are D (9), E (10), and C (11). However, since we want the approximation to have five decimal places, the answer cannot be E because the last digit is not zero. Similarly, the answer cannot be C because the second last digit is not zero. Therefore, the best choice is D (9).

Approximate the Sum to the Indicated Accuracy