Types of Numbers - SAT Subject Test in Math II

Card 0 of 4

Question

Express 73 as a binary (base two) number.

Answer

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,

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Question

Express as a base ten number.

Answer

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

is equal to:

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Question

Express 68 as a base two (binary) number.

Answer

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

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Question

Which of the following numbers is an imaginary number?

Answer

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.

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