Complex Numbers and Operations with Complex Numbers

Front

What is the standard form for 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

Simplify (-9 + 5i) + (3 - 2i)

Back

The simplified form is -6 + 3i.

Front

What is the result of -6i + 3i?

Back

The result is -3i.

Front

Simplify (4 + 2i) - (5 - 7i) + (-6 + 9i)

Back

The simplified form is -7 + 18i.

Front

What is the complex conjugate of 4 - 3i?

Back

The complex conjugate is 4 + 3i.

Front

Define 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 i = sqrt(-1).

Front

What is the imaginary unit 'i'?

Back

Front

How do you add two complex numbers?

Back

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

Front

What is the result of (2 + 3i) + (4 + 5i)?

Back

The result is 6 + 8i.

Front

What is the product of (1 + 2i) and (3 + 4i)?

Back

The product is -5 + 10i.