N.CN.B.6: Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

Example Problems

Divide the following complex numbers.

\frac{5 + 5i}{1 + 2i}

Divide the following complex numbers.

\frac{5 + 14i}{2 + 3i}

Divide the following complex numbers.

\frac{30 + 20i}{1 + 5i}

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