Question

The Hindu-Arabic numeral for MMMCCCXXXIII is
A. $ 333 $
B. $ 30303 $
C. $ 3333 $
D. $ 3330 $

Answer 1

Hint: The given number is in the form of Roman numerals which are the combinations of letters such as M, C, X and I which stands for a specific number. Here we will convert the roman numerals to Hindu – Arabic numerals by writing down the value of each alphabet involved.

Complete step-by-step answer:
Hindu- Arabic numeral system which is also known as Indo-Arabic numeral system which is the positional number system which consists of the ten digits such as \[0,1,2,3,4,5,6,7,8,9\]
Here we will convert the Roman numerals in Hindu-Arabic by converting its part.
As by identity –
M $ = 1000 $
C $ = 100 $
X $ = 10 $
I $ = 1 $
Since the Roman number “M” is three times, therefore value for MMM $ = 3(1000) = 3000 $ ..... (A)
Also, the Roman number “C” is three times, therefore value for CCC $ = 3(100) = 300 $ ..... (B)
The Roman number “X” is three times, therefore value for XXX $ = 3(10) = 30 $ ..... (C)
The Roman number “I” is three times, therefore value for III $ = 3(1) = 3 $ ..... (D)
By using the equations (A), (B), (C) and (D) –
The value of MMMCCCXXXIII is $ = 3000 + 300 + 30 + 3 = 3333 $
So, the correct answer is “Option C”.

Note: Remember the basic conversational relation of the roman numerals to the Arabic numerals. The correct conversion relation is the most important factor in these types of problems, since solution solely depends on it.
Hindu- Arabic numerals were invented between the first and the fourth centuries by the Indian Mathematicians. Later by the ninth century the system was adopted in Arabic mathematics which is also called Islamic mathematics.