Addition and Subtraction of 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, which means i² = -1.

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

Solve: (-1 + 5i) - (3 + 2i)

Back

-4 + 3i

Front

Calculate the sum: (7 - 2i) - (-4 + 3i)

Back

11 - 5i

Front

Find the result of: (1 + 4i) - (2 - 6i)

Back

-1 + 10i

Front

Compute: (4 + 2i) + (2 - 3i)

Back

6 - i

Front

Determine the addition: (-5 + 6i) + (3 - 4i)

Back

-2 + 2i

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi. It reflects the number across the real axis in the complex plane.