N: Number and Quantity

Number and Quantity

Example Problems

Rewrite the following expression involving complex numbers in the form

a + bi

where

a

and

b

are real numbers:

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

Ravi bought 4 newly released comic books and wants to line them up on his shelf in some order.

How many unique arrangements can Ravi make?

Last Sunday, an accident caused a traffic jam

12\text{ miles}

long on a straight stretch of a

\text{two-lane}

freeway.

How many vehicles do you think were in the traffic jam?
Explain your thinking and show all calculations.

Is

\\sqrt{5} + \\sqrt{20}

rational or irrational?

The component form of vector

\vec{v}

is

\vec{v} = (2, 0)

.
Find

5\vec{v}

.

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