4.5.5: Chapter Test

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    4.5.5: Chapter Test

    1. Expand the Hindu-Arabic numeral 5,789 .

    2. Evaluate the expression \(4 \times 7^3+5 \times 2^5\).

    3. Rewrite \(6 \times 10^5+0 \times 10^4+8 \times 10^3+0 \times 10^2+1 \times 10^1+9 \times 10^0\) in Hindu-Arabic form.

    4. Convert the Babylonian numeral to a Hindu-Arabic numeral.

    Exercise \(\PageIndex{5}\)

    Convert the Mayan number to a Hindu Arabic numeral.

    Mayan numeral 13 is displayed.

    Mayan numeral 7 is displayed.

    Mayan numeral 6 is displayed.

    6. What base system did the Babylonians use?

    Exercise \(\PageIndex{7}\)

    Which system—Roman, Babylonian, Mayan—used place values?

    Exercise \(\PageIndex{8}\)

    Convert the Roman numeral MDXLVII to a Hindu-Arabic numeral.

    Exercise \(\PageIndex{9}\)

    How many symbols are needed for a base 9 system?

    Exercise \(\PageIndex{10}\)

    For a system in a base larger than 10, what symbols are used as digits representing more than 10?

    Exercise \(\PageIndex{11}\)

    Convert 1328 to a base 10 number.

    Exercise \(\PageIndex{12}\)

    List the numbers in base 4 up to 1004.

    Exercise \(\PageIndex{13}\)

    Convert 74 to a base 12 number.

    Exercise \(\PageIndex{14}\)

    Create the addition table for base 4.

    Exercise \(\PageIndex{15}\)

    Calculate \({314_6} + {453_6}\).

    Exercise \(\PageIndex{16}\)

    Calculate 4B112 − 2A612.

    Exercise \(\PageIndex{17}\)

    When calculating \({23_6} + {53_6}\), a student obtains 766 . How do you know an error was made?

    Exercise \(\PageIndex{18}\)

    Create the multiplication table for base 4.

    Exercise \(\PageIndex{19}\)

    Calculate \({323_4} \times {132_4}\).

    Exercise \(\PageIndex{20}\)

    Calculate \({21_4} \div {3_4}\).


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