Types of Numbers

SAT Subject Test in Math II · Learn by Concept

Help Questions

SAT Subject Test in Math II › Types of Numbers

1 - 4
1

Express 73 as a binary (base two) number.

CORRECT

0

0

0

0

Explanation

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,

2

Which of the following numbers is an imaginary number?

CORRECT

0

0

0

0

Explanation

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.

3

Express as a base ten number.

CORRECT

0

0

0

0

Explanation

Place values in the base two system are powers of two rather than powers of ten.

is equal to:

4

Express 68 as a base two (binary) number.

CORRECT

0

0

0

0

Explanation

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