3.6: Place Values with Different Bases

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Page ID: 51823

Amy Lagusker
College of the Canyons

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Table 2.7.1: Place Values with different bases
Base 10		Base 2		Base 8		Base 12
\(10^0\)	ones	\(2^0\)	ones	\(8^0\)	ones	\(12^0\)	ones
\(10^1\)	tens	\(2^1\)	twos	\(8^1\)	eights	\(12^1\)	twelves
\(10^2\)	hundreds	\(2^2\)	fours	\(8^2\)	sixty-fours	\(12^2\)	one-hundred forty-fours
\(10^3\)	thousands	\(2^3\)	eights	\(8^3\)	five-hundred twelves	\(12^3\)	one-thousand seven-hundred twenty-eights

Notice that all the words are plural!

Note: \(8^{3}=512\) and \(12^{3}=1728\)

Practice Problems

In our Base 10 system, the place value for 10,000 is called the ten thousands. Write the equivalent name for the same place value for:

Base 3
Base 5
Base 9
Base 14