Write the Hindu - Arbic numeral for each of the following :
(i) CCXLII
(ii) CDLXV
(iii) LXXVI
(iv) DCCXLI
(v) XCIV
(vi) CXCIX

Answer

To convert the given Roman numerals into Hindu-Arabic numerals, we will break down each numeral step by step.

### (i) CCXLII

1. **Identify the values**:
- C = 100
- C = 100
- X = 10
- L = 50
- I = 1
- I = 1

2. **Calculate the total**:
- CC = 100 + 100 = 200
- XL = 50 - 10 = 40
- II = 1 + 1 = 2
- Now, add them together: 200 + 40 + 2 = 242

**Hindu-Arabic numeral**: 242

### (ii) CDLXV

1. **Identify the values**:
- C = 100
- D = 500
- L = 50
- X = 10
- V = 5

2. **Calculate the total**:
- CD = 500 - 100 = 400
- LX = 50 + 10 = 60
- V = 5
- Now, add them together: 400 + 60 + 5 = 465

**Hindu-Arabic numeral**: 465

### (iii) LXXVI

1. **Identify the values**:
- L = 50
- X = 10
- X = 10
- V = 5
- I = 1

2. **Calculate the total**:
- L = 50
- XX = 10 + 10 = 20
- V = 5
- I = 1
- Now, add them together: 50 + 20 + 5 + 1 = 76

**Hindu-Arabic numeral**: 76

### (iv) DCCXLI

1. **Identify the values**:
- D = 500
- C = 100
- C = 100
- X = 10
- L = 50
- I = 1

2. **Calculate the total**:
- D = 500
- CC = 100 + 100 = 200
- XL = 50 - 10 = 40
- I = 1
- Now, add them together: 500 + 200 + 40 + 1 = 741

**Hindu-Arabic numeral**: 741

### (v) XCIV

1. **Identify the values**:
- X = 10
- C = 100
- I = 1
- V = 5

2. **Calculate the total**:
- XC = 100 - 10 = 90
- IV = 5 - 1 = 4
- Now, add them together: 90 + 4 = 94

**Hindu-Arabic numeral**: 94

### (vi) CXCIX

1. **Identify the values**:
- C = 100
- X = 10
- I = 1

2. **Calculate the total**:
- C = 100
- XC = 100 - 10 = 90
- IX = 10 - 1 = 9
- Now, add them together: 90 + 9 = 199

**Hindu-Arabic numeral**: 199

### Summary of Hindu-Arabic Numerals:
- (i) CCXLII = 242
- (ii) CDLXV = 465
- (iii) LXXVI = 76
- (iv) DCCXLI = 741
- (v) XCIV = 94
- (vi) CXCIX = 199