Which of the following is an example of a pure imaginary number?(1 point)
Responses
4i
4i
-4
-4
π
pi
5+3i
To determine which of the given options is an example of a pure imaginary number, we need to understand what a pure imaginary number is.
A pure imaginary number is a complex number with the real part equal to zero. In other words, it is a number that can be written in the form "bi," where b is a real number and i is the imaginary unit (√-1).
Now, let's analyze the given options:
1. 4i: This option is a pure imaginary number since the real part is zero (4 * 0 = 0).
2. -4: This option is not a pure imaginary number because it has a non-zero real part.
3. π (pi): This option is not a pure imaginary number because it is a real number with no imaginary part.
4. 5 + 3i: This option is not a pure imaginary number because it has a non-zero real part.
Therefore, the example of a pure imaginary number from the given options is 4i.