Which of the following represents the numeral for 2949 ?

Options

A. MMMIXL
B. MMXMIX
C. MMCMIL
D. MMCMXLIX

Answer

To convert the numeral 2949 into Roman numerals, we can break it down into its components and represent each part in Roman numeral form. Here’s the step-by-step solution:

### Step 1: Break down the number
We start with the number 2949. We can break it down into thousands, hundreds, tens, and units:
- 2000
- 900
- 40
- 9

### Step 2: Convert 2000 to Roman numerals
The Roman numeral for 1000 is "M". Therefore, for 2000, we write:
- 2000 = MM (M + M)

### Step 3: Convert 900 to Roman numerals
To represent 900 in Roman numerals, we can use the concept of subtraction:
- 1000 (M) - 100 (C) = 900
Thus, 900 is represented as:
- 900 = CM

### Step 4: Convert 40 to Roman numerals
For 40, we again use subtraction:
- 50 (L) - 10 (X) = 40
So, 40 is represented as:
- 40 = XL

### Step 5: Convert 9 to Roman numerals
For 9, we can also use subtraction:
- 10 (X) - 1 (I) = 9
Thus, 9 is represented as:
- 9 = IX

### Step 6: Combine all parts
Now, we combine all the parts we have converted:
- 2000 = MM
- 900 = CM
- 40 = XL
- 9 = IX

Putting it all together, we get:
- 2949 = MMCMXLIX

### Conclusion
The Roman numeral representation of 2949 is MMCMXLIX, which corresponds to option D.

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