Adding and Subtracting Complex Numbers

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 standard form of a complex number?

Back

The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.

Front

How do you add complex numbers?

Back

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

Front

What is the first step to solve a complex number equation?

Back

Identify like terms.

Front

What is the result of (8 + 7i) + (4 + 3i)?

Back

12 + 10i.

Front

What is the result of (5 + 6i) - (7 - 3i)?

Back

-2 + 9i.

Front

Is (a + bi) + (c + di) an addition or subtraction operation?

Back

Addition.

Front

What does 'i' represent in complex numbers?

Back

The imaginary unit, defined as the square root of -1.

Front

What is the real part of the complex number 3 + 4i?

Back

3.