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Calculate the number of years between the following dates: a) 18 BC to 21 AD, b) 107 BC to 14 AD, c) 200 AD to 1993 AD, d) 1807 BC to 1798 BC, e) 1994 AD to 2008 AD

Mathematics

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Here are the calculations for the number of years:

1) From 18 BC to 21 AD

  1. Identify the type of dates.

    One is BC and one is AD.

  2. Add the years and subtract 1 (since there is no year 0).

    Number of years=18+21−1\text{Number of years} = 18 + 21 - 1 Number of years=39−1\text{Number of years} = 39 - 1 Number of years=38\text{Number of years} = 38

    The number of years is 38 years\boxed{\text{38 years}}.

    2) From 107 BC to 14 AD

  3. Identify the type of dates.

    One is BC and one is AD.

  4. Add the years and subtract 1.

    Number of years=107+14−1\text{Number of years} = 107 + 14 - 1 Number of years=121−1\text{Number of years} = 121 - 1 Number of years=120\text{Number of years} = 120

    The number of years is 120 years\boxed{\text{120 years}}.

    3) From 200 AD to 1993 AD

  5. Identify the type of dates.

    Both are AD.

  6. Subtract the earlier year from the later year.

    Number of years=1993−200\text{Number of years} = 1993 - 200 Number of years=1793\text{Number of years} = 1793

    The number of years is 1793 years\boxed{\text{1793 years}}.

    4) From 1807 BC to 1798 BC

  7. Identify the type of dates.

    Both are BC.

  8. Subtract the later year (smaller number) from the earlier year (larger number).

    Number of years=1807−1798\text{Number of years} = 1807 - 1798 Number of years=9\text{Number of years} = 9

    The number of years is 9 years\boxed{\text{9 years}}.

    5) From 1994 AD to 2008 AD

  9. Identify the type of dates.

    Both are AD.

  10. Subtract the earlier year from the later year.

    Number of years=2008−1994\text{Number of years} = 2008 - 1994 Number of years=14\text{Number of years} = 14

    The number of years is 14 years\boxed{\text{14 years}}.

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