The true statements about the number e are:
B. e is approximately 2.718.
C. e is an irrational number.
The statement "D. e is between and √2 on the number line" is false because e is actually greater than √2.
The statement "A. e is a rational number" is false because e cannot be expressed as a fraction of two integers.
The statement "E. e is exactly 2.718" is also false because e is an irrational number that cannot be expressed exactly as a decimal or fraction.