Rounded to three decimal places, the value of the irrational number e is ‾​ .A.3.327B.3.142C.2.875D.2.718SUBMITarrow_backPREVIOUS

Break Down the Problem

1. Identify the values provided for the irrational number e.
2. Determine the correct value of e rounded to three decimal places.

Relevant Concepts

• The mathematical constant $e$ (approximately 2.718) is an important number in mathematics, especially in calculus and exponential growth.

Analysis and Detail

1. The actual value of $e$ is approximately 2.718281828459.
2. Rounding this value to three decimal places involves looking at the fourth decimal place:
   • The value is $2.7182$ (the fourth digit is 2).
   • Since 2 is less than 5, we do not round up.

Verify and Summarize

1. The rounded value of e to three decimal places is $2.718$.
2. Looking at the provided options:
   • A. 3.327
   • B. 3.142
   • C. 2.875
   • D. 2.718

Among these, the correct answer that matches our findings is option D.

Final Answer

The value of the irrational number $e$ rounded to three decimal places is D. 2.718.