In XMCXLIII, the 'X' preceding 'M' (10 before 1000) signifies subtraction, meaning 1000 - 10 = 990. The 'C' before 'L' (100 before 50) does not indicate subtraction because the numeral of lesser value precedes that of greater value in a way that typically does not form a standard subtractive pair, thus the values are added: 100 + 50 = 150. However, in the standard Roman numeral system, 'XC' is a subtractive pair representing 90 (100-10). Therefore, XMCXLIII is interpreted as follows: X (10) + MC (1000+100) + XL (50-10) + III (1+1+1). This interpretation is incorrect as Roman numerals are read from left to right.
A more standard interpretation of XMCXLIII would be to treat XC as 90 (100-10) and XL as 40 (50-10). Therefore, XMCXLIII is calculated as X (10) + MC (1000 + 100) + XL (40) + III (3). This is still not correct. The correct Roman numeral system dictates that numerals are generally added from left to right, with subtractive notation only applying to specific pairs (IV, IX, XL, XC, CD, CM). Thus, XMCXLIII is interpreted as follows: X (10) + M (1000) + C (100) + XL (40) + III (3). This results in 10 + 1000 + 100 + 40 + 3 = 1153. However, the 'X' before 'M' is not standard. If we consider 'XMC' as an unusual grouping, it is still unclear.
Revisiting the standard rules, XMCXLIII is interpreted as: X (10) + M (1000) + C (100) + X (10) + L (50) + I (1) + I (1) + I (1). This would be 10 + 1000 + 100 + 10 + 50 + 1 + 1 + 1 = 1173. This is also not correct.
The most common and widely accepted interpretation of Roman numerals dictates that subtractive pairs take precedence. Therefore, XMCXLIII would be read as: X (10) + M (1000) + C (100) + XL (40) + III (3) which yields 1153. However, this is a misinterpretation of the numeral.
The standard Roman numeral system would represent 1153 as MCLIII. The notation XMCXLIII is therefore not a standard representation of a Roman numeral. It appears to be a concatenation of individual Roman numerals without adhering to the established rules for forming larger numbers, particularly the subtractive principles. As such, assigning a definitive numerical value to XMCXLIII based on standard Roman numeral rules is not possible without further clarification or context.