Complex Numbers - Graphing & Adding & Subtracting

Front

What is a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -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 extend the real number system to include solutions to equations that do not have real solutions.

Front

How do you add two complex numbers?

Back

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

Front

What is the result of adding (4 + 7i) and (9 - 2i)?

Back

13 + 5i

Front

How do you subtract two complex numbers?

Back

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

Front

What is the result of subtracting (3 - 5i) from (8 + 2i)?

Back

5 + 7i

Front

What is the sum of (5 - 2i) and (-7 + 8i)?

Back

-2 + 6i

Front

What is the result of (10 - 6i) - (2 + 3i)?

Back

8 - 9i

Front

What is the simplified form of (-9 + 5i) + (3 - 2i)?

Back

-6 + 3i

Front

What is the graphical representation of a complex number?

Back

A complex number can be represented on the complex plane, where the x-axis represents the real part and the y-axis represents the imaginary part.