Question

Hindu-Arabic numeral for \[CCCXLVII\]
A.357
B.347
C.367
D.387

Answer 1

Hint: Here we need to convert the given Roman numeral to Hindu- Arabic numeral. For that, we will first break the given Roman numeral and then we will convert the broken part of Roman numeral into the Arabic numerals. Then we will add all the converted roman numerals into Arabic-Hindu numerals to get the final value of the given Roman numeral in Hindu-Arabic numeral.

Complete step-by-step answer:
Here we need to convert the given Roman numeral i.e. \[CCCXLVII\] to Hindu- Arabic numeral.
We will first break the Roman numeral into place value subgroups i.e.
\[CCCXLVII = C + C + C + XL + V + II\] …….. \[\left( 1 \right)\]
Now, we will find the value of these Roman numerals into Hindu- Arabic numerals.
We know that:
\[\begin{array}{l}C = 100\\XL = 40\\V = 5\\II = 2\end{array}\]
Now, we will substitute these values of Roman numerals in Arabic numerals in equation \[\left( 1 \right)\].
\[ \Rightarrow CCCXLVII = 100 + 100 + 100 + 40 + 5 + 2\]
On adding the numeral in right hand side of the equation, we get
\[ \Rightarrow CCCXLVII = 347\]
Hence, the value of the Roman numeral \[CCCXLVII\] in Hindu-Arabic numeral is equal to 347.
Hence, the correct option is option B.

Note: We need to know the rules to convert the Roman numerals in Hindu-Arabic numerals to solve this question. In order to convert any Roman numerals , we need to first break it into addition of each letter given. Then substituting the value of letters we get the desired form. The Roman Numeral System is a system where numbers are represented by the combination of Latin alphabet letters. It was the standard way of writing numbers in Europe during the late middle ages. The process of replacement was, however, quite slow. Today, the Roman numerals still have minor applications. Numbers in Roman numerals feature the combination of symbols and addition of values.