Do in your Maths copy. 1. Express each of the following as a Roman numeral: i) 36 ii) 73 iii) 99 iv) 105 v) 114 2. Express each of the following as a Roman numeral: i) 226 ii) 341 iii) 596 iv) 611 v) 759 3. Write each of the following as a Hindu-Arabic numeral: (i) XXVII (ii) LXXIV (iii) CLIV (v) XCI (iv) XXXIV 4. Show that each of the following is meaningless. Give reason in each :- (i) VC (ii) IL (iii) VVII (iv) IXX Hint. (i) V is never subtracted. (ii) I can be subtracted from V and X only. (iii) V, L, D are never repeated. (iv) IX cannot occur to the left of X.
The Correct Answer and Explanation is:
Here are the correct answers:
Roman Numerals
- Express each number as a Roman numeral:
- 36 → XXXVI
- 73 → LXXIII
- 99 → XCIX
- 105 → CV
- 114 → CXIV
- Express each number as a Roman numeral:
- 226 → CCXXVI
- 341 → CCCXLI
- 596 → DXCVI
- 611 → DCXI
- 759 → DCCLIX
Hindu-Arabic Numerals
- Convert the Roman numerals to Hindu-Arabic numerals:
- XXVII → 27
- LXXIV → 74
- CLIV → 154
- XXXIV → 34
- XCI → 91
Meaningless Numerals with Explanation
- Each of these Roman numeral formations is incorrect:
- VC → V (5) cannot be subtracted from C (100); only I, X, and C allow subtraction in specific cases.
- IL → I (1) should only subtract from V (5) or X (10), not L (50).
- VVII → V is never repeated; instead, 10 should be written as X.
- IXX → IX (9) cannot occur before X (10); instead, 19 should be XIX.
Explanation
Roman numerals follow a strict set of rules to ensure clarity and consistency in numerical representation. The subtraction principle dictates that only certain numbers can be subtracted from specific higher values. For instance, I can be deducted from V and X but not from L, C, or M. Similarly, IX signifies 9, but placing it before X disrupts the expected order. The repetition guideline prevents symbols such as V, L, and D from appearing more than once in succession, ensuring a streamlined and logical numeric system. The incorrect formations presented violate these conventions, making them nonsensical within the framework of Roman numeral principles. Understanding these rules allows for proper application in writing numbers accurately.
