Description: Use this printable study sheet to review or learn the techniques for working with complex numbers and the imaginary number i, including addition, subtraction, multiplication, and division.
The Coefficient in a complex number is the real number that is multiplied by i. For example, the cofficient in the expression 2 + 4i is 4.
A Complex Conjugate of a complex number is found by changing the sign on the imaginary part. For example, the complex conjugate of 2 + 4i is 2 - 4i.
A Complex Number is any number that can be expressed in the form a + bi where a and b are real numbers. Complex numbers are not algebraic expressions, they are numbers that have a real part (a) and an imaginary part (bi).
The Constant in a complex number is the real number that is not multiplied by i. For example, the constant in the expression 2 + 4i is 2.
The Imaginary Number i is defined as the square root of -1. (It is an imaginary number, since the square root of any negative number is not real.) An important property to remember is that i2 = -1.
Like-Terms in a complex number are those terms that are similarly formatted. For example, 7i and -3i are like-terms since they are both a coefficient multiplied by i, whereas 3 and 3i are not like-terms.