All SAT II Math II Resources
Example Question #1 : Number Theory
Express as a base ten number.
Place values in the base two system are powers of two rather than powers of ten.
is equal to:
Example Question #2 : Number Theory
Express 68 as a base two (binary) number.
68 can be expressed as the sum of distinct powers of two as follows:
Therefore, there are 1's in the seventh and third place from the right, and 0's everywhere else, so
Example Question #3 : Number Theory
Express 73 as a binary (base two) number.
73 can be uniquely expressed as the sum of distinct powers of two as follows:
Therefore, there is a "1" in the seventh, fourth, and first positions from the right, and a "0" everywhere else. So,
Example Question #4 : Number Theory
Which of the following numbers is an imaginary number?
By definition, an imaginary number is a number with the term "i" in it. For this problem 7i is the only answer with the imaginary part.