There are several useful representations of the constant e.
1. e = the unique number a such that if f(x) = a^x, then f'(x) = a^x.
2. e = lim(x->infinity)(1 + 1/x)^x
3. e = the infinite sum 1/0! + 1/1! + 1/2! + 1/3! + ...
All three of these representations can be shown to be equal.
In base 10, e is approximately 2.718281828.
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it is defined as such.
e-6
E 102 hope this helps!:P
It is rational.
The definition is the same as the definition of just about any division. Dividing by a number can be defined as multiplying by the reciprocal of the number. The reciprocal is the number which, when multiplied by a number, results in a product of 1. For example, dividing by 2 is defined as multiplying by 1/2 (since 2 x 1/2 = 1). Division can also be defined as finding a solution of an inverse multiplication problem. For example, 5 / 2 = x is equivalent to x times 2 = 5; thus, the division can be defined as finding a number that solves the multiplication. Although I didn't use mixed fractions in the above examples, the definitions are exactly the same for mixed numbers.