Round to the nearest thousandth 2,718.0354

Round to the nearest thousandth 2,718.0354. a. 3,000 b. 2,718.04 c. 2,718.035 d. 2,718.036

The correct answer and explanation is:

The correct answer is d. 2,718.036.

To round 2,718.0354 to the nearest thousandth, we need to examine the digit in the fourth decimal place, which is the ten-thousandths place.

Step-by-step explanation:

1. Identify the relevant digits:
   • The number is 2,718.0354.
   • The thousandths place is the third digit after the decimal, which is 5.
   • The digit in the ten-thousandths place (the fourth digit after the decimal) is 4.
2. Apply rounding rules:
   • If the digit in the place immediately after the one you are rounding to is 5 or greater, you round the target place up by one.
   • If the digit is less than 5, you leave the target place unchanged.
3. In this case:
   • The thousandths place is 5 (which meets the rule for rounding up).
   • The digit in the ten-thousandths place is 4, which is less than 5, meaning the thousandths place will remain 5 and the number will round up to 2,718.036.

Thus, when rounding 2,718.0354 to the nearest thousandth, it becomes 2,718.036.

Additional note on rounding:

Rounding is a method used to reduce the number of digits in a number while maintaining the number’s value as close as possible to the original. The convention of rounding up or down ensures consistency and accuracy in representing numbers when they are approximated for use in calculations or reporting.