Algebra 2 operations with complex numbers worksheet answers

What is a complex number in Algebra 2?

A complex number is a combination of a Real Number and an Imaginary Number, written as a + bi (where a and/or b may equal zero). (a and b are real numbers and i is the imaginary unit) • If we have a + bi with a = 0, we have 0 + bi which gives bi, a purely imaginary number.

How do you multiply complex numbers?

(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.

How do you divide complex numbers?

To divide complex numbers, follow the procedure given below:.
Multiply the given complex number by the conjugate of the denominator on both the numerator and the denominator..
Distribute the number in both the numerator and denominator in order to eliminate the parentheses..
Simplify the powers of i..