What is the Arabic number for CVII?
a) 57
b) 107
c) 507
d) 1,007
The Correct Answer and Explanation is :
The Arabic number for CVII is 107 (option b).
Explanation:
Roman numerals are a numeral system originating from ancient Rome, using combinations of letters from the Latin alphabet (I, V, X, L, C, D, M) to represent numbers. To understand how to convert CVII to an Arabic number, we break down the Roman numeral:
- C represents 100.
- V represents 5.
- I represents 1.
When Roman numerals are written in a specific order, we determine their value by adding or subtracting based on their placement. In the case of CVII, the letters are arranged as follows:
- C (100) is the largest numeral and comes first.
- V (5) comes next, followed by two I’s (1 each).
We follow these rules:
- If a smaller numeral precedes a larger numeral, we subtract the smaller from the larger. However, in this case, all numerals follow the descending order.
- Thus, we simply add them together.
Calculating CVII involves the following steps:
- Start with C: 100
- Add V: 100 + 5 = 105
- Add II: 105 + 1 + 1 = 107
Therefore, when we combine these values, we arrive at the total of 107.
To summarize, CVII translates to Arabic numerals as follows:
- C (100) + V (5) + I (1) + I (1) = 100 + 5 + 1 + 1 = 107.
This conversion illustrates the fundamental principles of the Roman numeral system, where understanding the values assigned to each letter is key to performing accurate calculations.