# SAT II Math I : Types of Numbers

## Example Questions

### Example Question #1 : Number Theory

Express 374 in base six.

Explanation:

To convert a base ten number to base six, divide the number by six, with the remainder being the digit in the units place; continue, dividing each successive quotient by 6 and putting the remainder in the next position to the left until the final quotient is less than 6.

- the rightmost digit is 2

- the next digit to the left is 2

- the next digit to the left is 4, and the digit to the left of that is 1.

### Example Question #2 : Number Theory

Express   in base ten.

Explanation:

Place values in the base five system are powers of five rather than powers of ten.  is equal to

### Example Question #3 : Number Theory

Which of the following is the smallest prime number:?

Explanation:

A prime number has only two factor,  and itself.

This is not true for  or  so they are not the answer.

are all prime numbers and  is the smallest so it is your answer.

### Example Question #4 : Number Theory

Which of the following is a rational number?