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Write the Roman Numerals for the following:

Mathematics

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Step-by-step solution

18 steps

Here are the Roman numerals for the given numbers:

  1. 1707
  1. Break down the number into thousands, hundreds, tens, and ones.

    $$
    1707 = 1000 + 700 + 7
    $$
    
  2. Convert each part to Roman numerals.

    $$
    1000 = \text{M}
    $$
    $$
    700 = 500 + 100 + 100 = \text{DCC}
    $$
    $$
    7 = 5 + 1 + 1 = \text{VII}
    $$
    
  3. Combine the Roman numerals.

    $$
    \text{M} + \text{DCC} + \text{VII} = \text{MDCCVII}
    $$
    The Roman numeral for 1707 is $\boxed{\text{MDCCVII}}$
    

    2. 2564

  4. Break down the number.

    $$
    2564 = 2000 + 500 + 60 + 4
    $$
    
  5. Convert each part.

    $$
    2000 = \text{MM}
    $$
    $$
    500 = \text{D}
    $$
    $$
    60 = 50 + 10 = \text{LX}
    $$
    $$
    4 = \text{IV}
    $$
    
  6. Combine the Roman numerals.

    $$
    \text{MM} + \text{D} + \text{LX} + \text{IV} = \text{MMDCLXIV}
    $$
    The Roman numeral for 2564 is $\boxed{\text{MMDCLXIV}}$
    

    3. 3350

  7. Break down the number.

    $$
    3350 = 3000 + 300 + 50
    $$
    
  8. Convert each part.

    $$
    3000 = \text{MMM}
    $$
    $$
    300 = \text{CCC}
    $$
    $$
    50 = \text{L}
    $$
    
  9. Combine the Roman numerals.

    $$
    \text{MMM} + \text{CCC} + \text{L} = \text{MMMCCCL}
    $$
    The Roman numeral for 3350 is $\boxed{\text{MMMCCCL}}$
    

    4. 1903

  10. Break down the number.

    $$
    1903 = 1000 + 900 + 3
    $$
    
  11. Convert each part.

    $$
    1000 = \text{M}
    $$
    $$
    900 = 1000 - 100 = \text{CM}
    $$
    $$
    3 = \text{III}
    $$
    
  12. Combine the Roman numerals.

    $$
    \text{M} + \text{CM} + \text{III} = \text{MCMIII}
    $$
    The Roman numeral for 1903 is $\boxed{\text{MCMIII}}$
    

    5. 1298

  13. Break down the number.

    $$
    1298 = 1000 + 200 + 90 + 8
    $$
    
  14. Convert each part.

    $$
    1000 = \text{M}
    $$
    $$
    200 = \text{CC}
    $$
    $$
    90 = 100 - 10 = \text{XC}
    $$
    $$
    8 = 5 + 1 + 1 + 1 = \text{VIII}
    $$
    
  15. Combine the Roman numerals.

    $$
    \text{M} + \text{CC} + \text{XC} + \text{VIII} = \text{MCCXCVIII}
    $$
    The Roman numeral for 1298 is $\boxed{\text{MCCXCVIII}}$
    

    6. 1340

  16. Break down the number.

    $$
    1340 = 1000 + 300 + 40
    $$
    
  17. Convert each part.

    $$
    1000 = \text{M}
    $$
    $$
    300 = \text{CCC}
    $$
    $$
    40 = 50 - 10 = \text{XL}
    $$
    
  18. Combine the Roman numerals.

    $$
    \text{M} + \text{CCC} + \text{XL} = \text{MCCCXL}
    $$
    The Roman numeral for 1340 is $\boxed{\text{MCCCXL}}$
    
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