Question

Rounded to three decimal places, the value of the irrational number e is .A.3.142B.3.615C.2.718D.2.947

Answer 1

REQUIRED:

Round to 3 decimal placed the value of the irrational number e.

Step-by-step solution/explanation;

The letter e in mathematics is also known as the Eular's number and is a mathematical constant used in many calculations especially natural logarithms of numbers.

The value of the Eular's number is approximately;

$e\approx2.71828182846...$

It can continue till infinity, however approximations of this number is always used to avoid unnecessary complications.

Therefore, rounded to 3 decimal places, the value of e is now;

ANSWER:

$e\approx2.718$

Note that we take 3 digits aftre the decimal and then if the fourth digit after the decimal is 5 or greater than 5, we make it 1 and add that 1 to the third digit after the decimal. Otherwise we simply make it zero and cancel it along with all other digits after it.

The digit that follows 8 (third digit) is less than 5, therefore, we write it off along with all other digits after it, and we are left with the decimal point and then ...718.

Option C is the correct answer.