What is the roman numerals for 275345?

Answer 1

Using standard notation, you would need 275 m symbols in succession (m=1,000), followed by cccxlv (345). However, the accepted convention does not permit any symbol to be repeated more than 3 times in succession, including m. This is understandable when you realise a large number such as 1,000,000 would require 1,000 m symbols, which is clearly impractical.

However, there is another convention that replaces D (D=500), with its original symbol, |ᴐ, while M is replaced with c|ᴐ. Under this system, large numbers can be notated more easily, by extending the symbol on both sides. Thus cc|ᴐᴐ represents 10,000 while ccc|ᴐᴐᴐ represents 100,000. Moreover, adding an extra ᴐ to the right adds 500, while adding ᴐᴐ would add 5,000, and so on.

Thus 275,345 could be represented by the following Roman numeral:

ccc|ᴐᴐᴐᴐᴐᴐccc|ᴐᴐᴐᴐᴐcc|ᴐᴐᴐᴐ|ᴐᴐcccxlv

To make it clearer, let's separate each symbol.

ccc|ᴐᴐᴐᴐᴐᴐ ccc|ᴐᴐᴐᴐᴐ cc|ᴐᴐᴐᴐ |ᴐᴐ ccc xl v

ccc|ᴐᴐᴐᴐᴐᴐ = 150,000

ccc|ᴐᴐᴐᴐᴐ = 105,000

cc|ᴐᴐᴐᴐ = 15,000

|ᴐᴐ = 5,000

ccc = 300

xl = 40

v = 5

= 275,345

When using capitals, c|ᴐ is usually replaced with ↀ, which is often credited as the basis for the infinity symbol, ∞.