Add, Subtract, & Multiply Imaginary Numbers

Front

What is an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is 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 two complex numbers?

Back

To add two complex numbers, add their real parts and their imaginary parts separately.

Front

How do you subtract two complex numbers?

Back

To subtract two complex numbers, subtract their real parts and their imaginary parts separately.

Front

What is the product of two imaginary numbers, (ai)(bi)?

Back

The product of two imaginary numbers is (ai)(bi) = ab(i^2) = -ab, since i^2 = -1.

Front

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

Back

The result is -2 + 6i.

Front

What is the result of (2i)(3i)?

Back

The result is -6.

Front

What does 'a' represent in the complex number a + bi?

Back

The 'a' represents the real part of the complex number.

Front

What is the result of (10 + 15i) - (48 - 30i)?

Back

The result is -38 + 45i.

Front

How do you multiply a complex number by a real number?

Back

To multiply a complex number by a real number, multiply both the real and imaginary parts by that real number.