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

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 imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, which means i^2 = -1.

Front

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

Back

7i

Front

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

Back

8-9i

Front

What is the result of (-8+i)+(-2+i)?

Back

-10+2i

Front

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

Back

-5+6i

Front

What is the result of (1+3i)+(7-2i)?

Back

8+i

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate of a complex number a + bi is a - bi.