Olympiad Test: Roman Numbers - 1 - Class 5 MCQ

Explanation:

• Conversion of the Roman numeral 'LXXV' to an Arabic numeral:
  • L = 50
  • X = 10
  • X = 10
  • V = 5
• Calculation:
  • 50 (L) + 10 (X) + 10 (X) + 5 (V) = 75

Therefore, the Roman numeral 'LXXV' is equal to 75.

Conversion of MDCCCXXXVI to a number:

• Break down the Roman numeral into its parts:
• M = 1000
• D = 500
• CCC = 300 (100 + 100 + 100)
• X = 10
• X = 10
• X = 10
• V = 5
• I = 1
• Add all the parts to find the total:
• 1000 + 500 + 300 + 10 + 10 + 10 + 5 + 1 = 1836

Therefore, the Roman numeral MDCCCXXXVI equals the number 1836.

Explanation:

• Roman Numeral Conversion: In Roman numerals, C stands for 100, X for 10, and I for 1.
• Combining Values: To find the value of CXI, we add the values of C, X, and I.
• Calculation: C (100) + X (10) + I (1) totals 111.
• Conclusion: Therefore, the Roman numeral CXI is equal to 111.

Explanation:

• Roman numeral IV stands for the number 4.
• Each Roman numeral has a fixed value; IV specifically denotes 4.
• IV is created by combining I (1) and V (5).
• When I precedes V, it indicates subtraction: 5 - 1 equals 4.

1,866 can be broken down into its components:

• 1,000 = M
• 500 = D
• 300 = CCC
• 50 = L
• 10 = X
• 5 = V
• 1 = I

Combining these values, we have:

• 1,000 + 500 + 300 + 50 + 10 + 5 + 1

Thus, 1,866 is represented as MDCCCLXVI in Roman numerals.

Converting DCLXIV to a number

• D = 500
• C = 100
• L = 50
• X = 10
• IV= 4
• When we add these values together: 500 + 100 + 50 + 10 + 4 = 664

Conclusion

• Thus, DCLXIV in Roman numerals is equal to 664 in standard number form.
  
   

• Step 1: Find the largest Roman numeral for 524, which is D (500).
• Step 2: Subtract 500 from 524 to get 24.
• Step 3: The largest Roman numeral for 24 is X (10).
• Step 4: Subtract 10 from 24 to get 14.
• Step 5: Use X (10) again for 14.
• Step 6: Subtract 10 from 14 to get 4.
• Step 7: The numeral for 4 is IV.

DXXIV

Therefore, 524 in Roman numerals is DXXIV.

MMDCCLXXIV can be converted to ordinary numerals by breaking it down into its components:

• MM = 2,000
• D = 500
• CC = 200
• L = 50
• XX = 20
• IV = 4

Adding these values together:

2,000 + 500 + 200 + 50 + 20 + 4 = 2,774

Thus, MMDCCLXXIV equals 2,774.

• Step 1: Start by breaking down 2328 into its Roman numeral components. The largest Roman numeral that fits into 2328 is 1000, which is represented by the letter M.



• Step 2: Subtract 1000 from 2328, leaving us with 1328. The largest Roman numeral that fits into 1328 is 1000 again, so we add another M to our Roman numeral representation.



• Step 3: Repeat this process until we have represented all of 2328 in Roman numerals. Continuing this process, we find that 2328 = 2000 (MM) + 300 (CCC) + 20 (XX) + 8 (VIII).



• Step 4: Putting it all together, we get MMCCCXXVIII as the Roman numeral representation of 2328.

Therefore, the correct answer is MMCCCXXVIII.

Conversion of 2752 to Roman Numerals

• Step 1: Write down the Roman numeral symbols and their values:
  • M = 1000
  • D = 500
  • C = 100
  • L = 50
  • X = 10
  • V = 5
  • I = 1
• Step 2: The largest Roman numeral fitting into 2752 is 2000, represented as MM.
• Step 3: Subtract 2000 from 2752, leaving 752.
• Step 4: For 752:
  • The largest numeral fitting into 752 is 500, represented as D.
  • Subtract 500 from 752, leaving 252.
• Step 5: For 252:
  • The largest numeral fitting into 252 is 200, represented as CC.
  • Subtract 200 from 252, leaving 52.
• Step 6: For 52:
  • The largest numeral fitting into 52 is 50, represented as L.
  • Subtract 50 from 52, leaving 2.
• Step 7: For 2:
  • The largest numeral fitting into 2 is 2, represented as II.
  • Subtract 2 from 2, leaving 0.
• Step 8: Combine all the Roman numerals to get the final answer: MMDCCLII.