Write 493 in roman system.

Options

A. LDXClll
B. CDXClll
C. CDCXlll
D. DXCXlll

Answer

To convert the number 493 into the Roman numeral system, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Roman Numerals**:
- Roman numerals are represented by letters:
- D = 500
- C = 100
- X = 10
- I = 1

2. **Break Down the Number**:
- We need to express 493 in terms of Roman numeral values.
- We can break it down as follows:
- 493 = 400 + 93

3. **Convert 400 to Roman Numerals**:
- 400 can be expressed as 500 - 100.
- In Roman numerals, this is represented as:
- D (500) - C (100) = CD (400)

4. **Convert 93 to Roman Numerals**:
- 93 can be expressed as 90 + 3.
- 90 can be expressed as 100 - 10, which is:
- C (100) - X (10) = XC (90)
- The number 3 can be expressed as:
- III (1 + 1 + 1)

5. **Combine the Roman Numerals**:
- Now, we combine the Roman numeral representations:
- 493 = 400 + 93 = CD + XC + III
- Therefore, 493 in Roman numerals is:
- CDXCIII

### Final Answer:
493 in Roman numerals is **CDXCIII**.

---