Express sum of roman numerals xl and cxx in roman numeral
The correct answer and explanation is:
To find the sum of the Roman numerals XL and CXX, we first need to understand what these Roman numerals represent in standard numbers.
- XL represents 40. This is derived from L (50) and X (10). Since X comes before L, it means subtract 10 from 50, which gives us 40.
- CXX represents 120. C stands for 100, and XX represents 20 (two X’s). So, 100 + 20 gives us 120.
Now, we add these two values:
40 (XL) + 120 (CXX) = 160.
The next step is to convert 160 back into a Roman numeral.
- C represents 100.
- L represents 50.
- X represents 10.
To express 160 in Roman numerals:
- Start with 100 (C).
- Add 50 (L).
- Finally, add 10 (X).
Thus, 160 is written as CLX in Roman numerals.
So, the sum of XL (40) and CXX (120) is CLX (160).
Roman numerals follow a pattern where smaller numerals come before larger ones to indicate subtraction, and smaller numerals come after larger ones to indicate addition. For example, IV means 4 (5 – 1), and VI means 6 (5 + 1). This rule is consistent in constructing larger numbers, ensuring that Roman numerals are precise and structured in their representation.