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 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

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 sum of (5 - 2i) + (-7 + 8i)?

Back

The sum is -2 + 6i.

Front

What is the result of -12i + 7i?

Back

The result is -5i.

Front

Calculate the sum: (1 - 2i) + (-4 + 2i).

Back

The sum is -3.

Front

Simplify: 2i - 7i + 10.

Back

The simplified form is -5i + 10.

Front

Calculate: (4 - 7i) - (-3 + 6i).

Back

The result is 7 - 13i.

Front

What is the real part of a complex number?

Back

The real part of a complex number a + bi is the value 'a'.