Read Roman numerals to 1,000 (M) 4 - Reasoning

The task involves comparing two Roman numerals to determine which represents the larger number. The first numeral given is DCXXX, which translates to 630 in Arabic numerals. This is broken down into D (500) + C (100) + X (10) + X (10) + X (10). The second numeral, DCCX, converts to 710, comprised of D (500) + C (100) + C (100) + X (10). When comparing the two, it is clear that DCCX represents a larger number than DCXXX.

To explain why DCCX is larger, we can look at the composition of each numeral. Both start with 'D', which signifies 500, so this part of the numerals is equal. The difference comes with the next symbols. DCCX has two 'C's, indicating two hundreds, which adds up to 200, whereas DCXXX has only one 'C', representing 100. The 'X's at the end of both numerals are equal in value, each representing 10. Therefore, the sum of values in DCCX is greater than in DCXXX, making DCCX the larger number. In summary, DCCX (710) is greater than DCXXX (630).