Question

Write the following in the Hindu-Arabic numeral.
CCXXIV

Answer 1

Hint: In this question, we first need to know the Arabic representation of the numerals. Then from the given Arabic numeral we can write the numerical value of each of the letters and add them at the end to get the result. To get started, the letter C represents 100 and I represents 1. Try to recollect the rest and get the result.

Complete step by step solution:
Roman numerals are a numeral system that originated in ancient Rome. Numbers in this system are represented by a combination of letters from the Latin alphabet.
Let us first look at the roman numerals
1 - I
2 - II
3 - III
4 - IV
5 - V
6 - VI
7 - VII
8 - VIII
9 - IX
10 - X
100 - C
1000 - K

Now, we need to find the numerical value of the Hindu-Arabic numeral given
CCXXIV
Now, from the above table we have the values as
C - 100, X - 10, IV - 4
Now, let us add the respective values from the given Arabic numeral
\[\Rightarrow \text{CCXXIV}=100+100+10+10+4\]
Now, this can be further written in the simplified form as
\[\Rightarrow \text{CCXXIV}=200+20+4\]
Now, on further simplification we get,
\[\therefore \text{CCXXIV}=224\]
Hence, the numeral value of the Arabic numeral CCXXIV is 224.

Note:
Instead of writing the numerical value of each roman numeral given we can also write it accordingly using some of the standard roman representations like CC - 200, XX - 20 and then simplify further. Both the methods give the same result.
It is important to note that on changing the place of the roman numbers in the given Arabic numeral the complete numerical values changes accordingly. So while noting and simplifying we should not neglect any of the numerals.