Answer
Verified
406.5k+ views
Hint: In order to solve this question first we will write the basic conversion of roman numerals further we will discuss the procedure to convert a number in the form of roman numerals.
Complete step-by-step answer:
Given arabic number is $25819$
Roman numerals used to make the conversion:
\[\begin{array}{*{20}{l}}
{I{\text{ }} = {\text{ }}1} \\
{V{\text{ }} = {\text{ }}5} \\
{X{\text{ }} = {\text{ }}10} \\
{C{\text{ }} = {\text{ }}100} \\
{D{\text{ }} = {\text{ }}500} \\
{\left( V \right){\text{ }} = {\text{ }}5,000} \\
{\left( X \right){\text{ }} = {\text{ }}10,000}
\end{array}\]
Now we will proceed further by discussing its procedure step by step
Step 1 - Break the number (decompose it) into place value subgroups:
\[25,819{\text{ }} = {\text{ }}20,000{\text{ }} + {\text{ }}5,000{\text{ }} + {\text{ }}800{\text{ }} + {\text{ }}10{\text{ }} + {\text{ }}9\]
Step 2- Convert each subgroup in their respective roman numerals:
\[20,000{\text{ }} = {\text{ }}10,000{\text{ }} + {\text{ }}10,000{\text{ }} = {\text{ }}\left( X \right){\text{ }} + {\text{ }}\left( X \right){\text{ }} = {\text{ }}\left( X \right)\left( X \right)\]
\[5,000{\text{ }} = {\text{ }}\left( V \right)\]
\[\begin{array}{*{20}{l}}
{800{\text{ }} = {\text{ }}500{\text{ }} + {\text{ }}100{\text{ }} + {\text{ }}100{\text{ }} + {\text{ }}100{\text{ }} = {\text{ }}D{\text{ }} + {\text{ }}C{\text{ }} + {\text{ }}C{\text{ }} + {\text{ }}C{\text{ }} = {\text{ }}DCCC} \\
{10{\text{ }} = {\text{ }}X} \\
{9{\text{ }} = {\text{ }}10{\text{ }} - {\text{ }}1{\text{ }} = {\text{ }}X{\text{ }} - {\text{ }}I{\text{ }} = {\text{ }}IX}
\end{array}\]
Step 3- Wrap up the Roman numeral:
\[\begin{array}{*{20}{l}}
{25,819{\text{ }} = {\text{ }}20,000{\text{ }} + {\text{ }}5,000{\text{ }} + {\text{ }}800{\text{ }} + {\text{ }}10{\text{ }} + {\text{ }}9{\text{ }} = } \\
{\left( X \right)\left( X \right){\text{ }} + {\text{ }}\left( V \right){\text{ }} + {\text{ }}DCCC{\text{ }} + {\text{ }}X{\text{ }} + {\text{ }}IX{\text{ }} = } \\
{\left( X \right)\left( X \right)\left( V \right)DCCCXIX}
\end{array}\]
Hence the required answer is \[\left( X \right)\left( X \right)\left( V \right)DCCCXIX.\]
Note- Roman numerals are a number system which originated in ancient Rome and remained the standard way of writing numerals well into the Late Middle Ages throughout Europe. Numbers within this scheme are represented by combinations of Latin alphabet letters. Just seven symbols are used by the Roman numeral system: \[I,{\text{ }}V,{\text{ }}X,{\text{ }}L,{\text{ }}C{\text{ }},{\text{ }}D,\] and $M$. $I$ reflect the number $1$, $V$ being \[{\mathbf{5}}\], $X$ being $10$, $L$ being $50$, $C$ being $100$, $D$ being $500$, and $M$ being $1000$.
Complete step-by-step answer:
Given arabic number is $25819$
Roman numerals used to make the conversion:
\[\begin{array}{*{20}{l}}
{I{\text{ }} = {\text{ }}1} \\
{V{\text{ }} = {\text{ }}5} \\
{X{\text{ }} = {\text{ }}10} \\
{C{\text{ }} = {\text{ }}100} \\
{D{\text{ }} = {\text{ }}500} \\
{\left( V \right){\text{ }} = {\text{ }}5,000} \\
{\left( X \right){\text{ }} = {\text{ }}10,000}
\end{array}\]
Now we will proceed further by discussing its procedure step by step
Step 1 - Break the number (decompose it) into place value subgroups:
\[25,819{\text{ }} = {\text{ }}20,000{\text{ }} + {\text{ }}5,000{\text{ }} + {\text{ }}800{\text{ }} + {\text{ }}10{\text{ }} + {\text{ }}9\]
Step 2- Convert each subgroup in their respective roman numerals:
\[20,000{\text{ }} = {\text{ }}10,000{\text{ }} + {\text{ }}10,000{\text{ }} = {\text{ }}\left( X \right){\text{ }} + {\text{ }}\left( X \right){\text{ }} = {\text{ }}\left( X \right)\left( X \right)\]
\[5,000{\text{ }} = {\text{ }}\left( V \right)\]
\[\begin{array}{*{20}{l}}
{800{\text{ }} = {\text{ }}500{\text{ }} + {\text{ }}100{\text{ }} + {\text{ }}100{\text{ }} + {\text{ }}100{\text{ }} = {\text{ }}D{\text{ }} + {\text{ }}C{\text{ }} + {\text{ }}C{\text{ }} + {\text{ }}C{\text{ }} = {\text{ }}DCCC} \\
{10{\text{ }} = {\text{ }}X} \\
{9{\text{ }} = {\text{ }}10{\text{ }} - {\text{ }}1{\text{ }} = {\text{ }}X{\text{ }} - {\text{ }}I{\text{ }} = {\text{ }}IX}
\end{array}\]
Step 3- Wrap up the Roman numeral:
\[\begin{array}{*{20}{l}}
{25,819{\text{ }} = {\text{ }}20,000{\text{ }} + {\text{ }}5,000{\text{ }} + {\text{ }}800{\text{ }} + {\text{ }}10{\text{ }} + {\text{ }}9{\text{ }} = } \\
{\left( X \right)\left( X \right){\text{ }} + {\text{ }}\left( V \right){\text{ }} + {\text{ }}DCCC{\text{ }} + {\text{ }}X{\text{ }} + {\text{ }}IX{\text{ }} = } \\
{\left( X \right)\left( X \right)\left( V \right)DCCCXIX}
\end{array}\]
Hence the required answer is \[\left( X \right)\left( X \right)\left( V \right)DCCCXIX.\]
Note- Roman numerals are a number system which originated in ancient Rome and remained the standard way of writing numerals well into the Late Middle Ages throughout Europe. Numbers within this scheme are represented by combinations of Latin alphabet letters. Just seven symbols are used by the Roman numeral system: \[I,{\text{ }}V,{\text{ }}X,{\text{ }}L,{\text{ }}C{\text{ }},{\text{ }}D,\] and $M$. $I$ reflect the number $1$, $V$ being \[{\mathbf{5}}\], $X$ being $10$, $L$ being $50$, $C$ being $100$, $D$ being $500$, and $M$ being $1000$.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Two charges are placed at a certain distance apart class 12 physics CBSE
Difference Between Plant Cell and Animal Cell
What organs are located on the left side of your body class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
The planet nearest to earth is A Mercury B Venus C class 6 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
What is BLO What is the full form of BLO class 8 social science CBSE