Adding & Subtracting Complex Numbers

Front

Define complex numbers.

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit (i = √-1).

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1. It is used to express complex numbers.

Front

How do you add complex numbers?

Back

To add complex numbers, combine their real parts and their imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract their real parts and their imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.

Front

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

Back

7 - 3i.

Front

Simplify (6 - 3i) - (2 + 4i).

Back

4 - 7i.

Front

What is the result of (1 + 2i) + (3 + 4i)?

Back

4 + 6i.

Front

What is the result of (5 - 2i) - (1 + 3i)?

Back

4 - 5i.

Front

If z1 = 2 + 3i and z2 = 4 - 2i, what is z1 + z2?

Back

6 + i.

Front

If z1 = 7 + 5i and z2 = 3 + 2i, what is z1 - z2?

Back

4 + 3i.