Operations with Complex Numbers Academic

Front

Simplify: (10 + 15i) - (48 - 30i)

Back

-38 + 45i

Front

Simplify: (3 + 2i) + (4 - 5i)

Back

7 - 3i

Front

Find the sum: (5 - 2i) + (-7 + 8i)

Back

-2 + 6i

Front

What is the complex conjugate of 4 - 3i?

Back

4 + 3i

Front

True or False: (-5 + 10i)(-5 - 10i) = 125

Back

True

Front

Definition: Complex Number

Back

A number of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

Definition: Imaginary Unit (i)

Back

i is defined as the square root of -1.

Front

Definition: Real Part of a Complex Number

Back

The real part of a complex number a + bi is a.

Front

Definition: Imaginary Part of a Complex Number

Back

The imaginary part of a complex number a + bi is b.

Front

How to add complex numbers?

Back

Add the real parts and the imaginary parts separately.