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CBSE Class 5  >  Class 5 Notes  >  Mathematics  >  Worksheet Solution: Roman Numerals

Worksheet Solution: Roman Numerals

Q 1: Write each of the following Hindu-Arabic numerals in Roman numerals.
1. 12 
2. 35 
3. 39 
4. 170
5. 198

Sol: 
1. 12 = XII
2. 35 = XXXV
3. 39 = XXXIX
4. 170 = CLXX
5. 198 = CXCVIII

Q 2: Compare the following pairs of Roman numerals and fill in > or <:
1. LXXXII ______ LXXVII.
2. CLXXIV ______ CLIV
3. CLXXXVII ______ CXLVII

Sol: 
1. LXXXII > LXXVII

2. CLXXIV > CLIV

3. CLXXXVII > CXLVII

Q 3: At the most how many times a symbol can be repeated in Roman system?

Sol:

  • A symbol is not repeated more than three times. 

  • If a smaller symbol is written to the right of a symbol with greater value, then its value gets added to the value of the greater symbol.

Q 4: Express 190 in Roman numerals.

Sol: 190 in Roman Numerals
  • 190 = 100 + 90.
  • Roman Numerals = C + XC.
  • 190 in Roman Numerals = CXC.

Q 5: Which of the following is meaningless?
1. X = 10 
2. XX = 20  
3. XXX = 30  
4. XXXX = 40

Sol: XXXX is meaningless because a symbol is not repeated more than three times.

Q 6: Which symbols in the Roman system are never repeated?

Sol: The symbols V, L and D are never repeated.

Q 7: Write the Hindu-Arabic numeral for each of the following Roman numerals:
1. CDLXXI
2. CDVIII
3. DCXL 

Sol:
1. CDLXXI = 471
2. CDVIII = 408
3. DCXL = 640

Q 8: There is no symbol for zero in the Roman system. Is it true?

Sol: Roman numerals started to count from one and had no symbol to represent "0". 
This happens because the Romans did not need to have a zero in their additive system.

Question 9: In Roman system, by which symbol do we represent 100?

Sol: 100 is represented as C.

Question 10: The symbols that cannot be used for showing subtraction are ______.

Sol: The symbols V, L and D are not written to the left of a symbol that has greater value. 
This means that V, L and D are never subtracted.

The document Worksheet Solution: Roman Numerals is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Worksheet Solution: Roman Numerals

1. How do I convert numbers to Roman numerals for Class 5 CBSE exams?
Ans. Roman numerals use letters I, V, X, L, C, D, and M to represent values. I=1, V=5, X=10, L=50, C=100, D=500, M=1000. To convert, break the number into place values and use addition and subtraction rules. For example, 24 becomes XXIV (20+4). Practise with visual worksheets and flashcards available on EduRev to master numeral conversion quickly.
2. Why do some Roman numerals have a line on top and what does it mean?
Ans. The horizontal line (vinculum or overline) placed above a Roman numeral multiplies its value by 1000. For instance, V̄ equals 5000, not 5. This notation helps represent larger numbers beyond the standard single-letter system. Students often miss this rule, so refer to detailed notes and PPTs explaining the vinculum notation to avoid exam mistakes.
3. What's the difference between Roman numerals and Arabic numerals that I need to know?
Ans. Arabic numerals (1, 2, 3) use ten digits and a place-value system, making calculation simple. Roman numerals (I, II, III) use letter symbols without a zero, making arithmetic difficult. Roman numerals appear in clock faces, book chapters, and historical dates. Understanding both systems helps students appreciate why modern mathematics relies on Arabic numerals for everyday use.
4. How do I solve Roman numeral subtraction problems without making mistakes?
Ans. In Roman numeral subtraction, only I, X, and C can subtract, and only from the two numerals immediately larger. I subtracts from V and X; X subtracts from L and C; C subtracts from D and M. For example, IV (4) and IX (9) follow this rule. Use mind maps showing subtraction rules and MCQ tests to identify common errors in numeral calculations.
5. Can Roman numerals be used for zero and negative numbers in CBSE Class 5?
Ans. Roman numerals cannot represent zero or negative numbers because the system lacks a symbol for zero. This is a key limitation compared to Arabic numerals. The ancient Romans didn't need zero for their counting system. This concept is important for understanding why Roman numerals are rarely used for modern mathematics, only for special purposes like numbering chapters and historical records.
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