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2.7: Place Values with Different Bases

  • Page ID
    50992
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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:

    1. Base 3
    2. Base 5
    3. Base 9
    4. Base 14

    This page titled 2.7: Place Values with Different Bases is shared under a not declared license and was authored, remixed, and/or curated by Amy Lagusker.

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