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Why is -16 considered an imaginary number?
Because it's not. However, if you were to take the square root of -16, the answer would be 4i, which is an imaginary number, considered imaginary because multiplication of a real number by itself cannot equal a negative number.
Can a number be imaginary but not pure imaginary?
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?
It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).
Is -23 an imaginary number?
No, but √-23 is. An imaginary number is the square root of a negative number.
What is the Difference between a natural log and a log with base 10?
The natural log of a number is some other number such that if you take e (2.718281828...) and raise it to that other number you would get the first number. Another way to say this is that a natural log is a log with base e. The common log of a number is some other number such that if you take 10 and raise it to that other number you would get the first number. The natural log base, e, is a special transcendental number, chosen so that the derivative (respect to x) of ex is equal to ex . In other words, the slope of a tangent line to the curve y = ex at point (x, ex) is equal to ex for all x
