Express each of the following as a Roman numeral : (i) 2 (ii) 8 (iii) 14 (iv) 29 (v) 36 (vi) 43 (vii) 54 (viii) 61 (ix) 73 (x) 81 (xi) 91 (xii) 95 (xiii) 99 (xiv) 105 (xv) 114

Answer

To express each of the given numbers as Roman numerals, we will follow the Roman numeral system based on the values of the symbols:

- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000

Now, let's convert each number step by step:

### Step-by-Step Solution:

1. **Convert 2 to Roman Numerals:**
- 2 is represented as I + I = II.
- **Roman numeral:** II

2. **Convert 8 to Roman Numerals:**
- 8 can be broken down into 5 + 1 + 1 + 1 = V + III = VIII.
- **Roman numeral:** VIII

3. **Convert 14 to Roman Numerals:**
- 14 is 10 + 4 = X + (5 - 1) = X + IV = XIV.
- **Roman numeral:** XIV

4. **Convert 29 to Roman Numerals:**
- 29 is 20 + 9 = (10 + 10) + (10 - 1) = XX + IX = XXIX.
- **Roman numeral:** XXIX

5. **Convert 36 to Roman Numerals:**
- 36 is 30 + 6 = (10 + 10 + 10) + (5 + 1) = XXX + VI = XXXVI.
- **Roman numeral:** XXXVI

6. **Convert 43 to Roman Numerals:**
- 43 is 40 + 3 = (50 - 10) + III = XL + III = XLIII.
- **Roman numeral:** XLIII

7. **Convert 54 to Roman Numerals:**
- 54 is 50 + 4 = L + (5 - 1) = L + IV = LIV.
- **Roman numeral:** LIV

8. **Convert 61 to Roman Numerals:**
- 61 is 50 + 10 + 1 = L + X + I = LXI.
- **Roman numeral:** LXI

9. **Convert 73 to Roman Numerals:**
- 73 is 70 + 3 = (50 + 10 + 10) + III = LXX + III = LXXIII.
- **Roman numeral:** LXXIII

10. **Convert 81 to Roman Numerals:**
- 81 is 80 + 1 = (50 + 10 + 10 + 10) + I = LXXX + I = LXXXI.
- **Roman numeral:** LXXXI

11. **Convert 91 to Roman Numerals:**
- 91 is 90 + 1 = (100 - 10) + I = XC + I = XCI.
- **Roman numeral:** XCI

12. **Convert 95 to Roman Numerals:**
- 95 is 90 + 5 = (100 - 10) + V = XC + V = XCV.
- **Roman numeral:** XCV

13. **Convert 99 to Roman Numerals:**
- 99 is 90 + 9 = (100 - 10) + (10 - 1) = XC + IX = XCIX.
- **Roman numeral:** XCIX

14. **Convert 105 to Roman Numerals:**
- 105 is 100 + 5 = C + V = CV.
- **Roman numeral:** CV

15. **Convert 114 to Roman Numerals:**
- 114 is 100 + 10 + 4 = C + X + (5 - 1) = C + X + IV = CXIV.
- **Roman numeral:** CXIV

### Final Answers:
- (i) 2 = II
- (ii) 8 = VIII
- (iii) 14 = XIV
- (iv) 29 = XXIX
- (v) 36 = XXXVI
- (vi) 43 = XLIII
- (vii) 54 = LIV
- (viii) 61 = LXI
- (ix) 73 = LXXIII
- (x) 81 = LXXXI
- (xi) 91 = XCI
- (xii) 95 = XCV
- (xiii) 99 = XCIX
- (xiv) 105 = CV
- (xv) 114 = CXIV