The value of the numeral MCDLXIV is :

Options

A. 1666
B. 664
C. 1464
D. 656

Answer

To find the value of the Roman numeral MCDLXIV, we will break it down into its individual components and sum their values.

### Step-by-Step Solution:

1. **Identify the Roman Numerals**:
- M = 1000
- CD = 400
- LX = 60
- IV = 4

2. **Calculate Each Component**:
- The value of M is 1000.
- The value of CD (which is C before D) is calculated as:
- D = 500
- C = 100
- Therefore, CD = D - C = 500 - 100 = 400.
- The value of LX (which is L before X) is calculated as:
- L = 50
- X = 10
- Therefore, LX = L + X = 50 + 10 = 60.
- The value of IV (which is I before V) is calculated as:
- V = 5
- I = 1
- Therefore, IV = V - I = 5 - 1 = 4.

3. **Sum All the Values**:
- Now we add all the values together:
- M + CD + LX + IV = 1000 + 400 + 60 + 4.

4. **Perform the Addition**:
- 1000 + 400 = 1400
- 1400 + 60 = 1460
- 1460 + 4 = 1464

5. **Final Result**:
- Therefore, the value of the numeral MCDLXIV is 1464.