Question

Write the corresponding Hindu-Arabic numerals for the following.
\[KKCXXIII.\]

Answer 1

Hint: To solve this question first we will write the basic conversion of Hindu Arabic numerals to Roman numerals further we will discuss the process for converting a number in the form of Hindu Arabic numerals.

Complete step-by-step answer:
Given roman number is \[KKCXXIII.\]

Roman numerals used to make the conversion:

\[\begin{array}{*{20}{l}}
  {K{\text{ }} = {\text{ }}1000} \\
  {X{\text{ }} = {\text{ }}10} \\
  {C{\text{ }} = {\text{ }}100} \\
  {III{\text{ }} = {\text{ }}3}
\end{array}\]

We shall now proceed step by step further by discussing the procedure

Step 1-Break the number into place value subgroups (decompose it):

\[KKCXXIII{\text{ }} = {\text{ }}K{\text{ }} + {\text{ }}K{\text{ }} + {\text{ }}C{\text{ }} + {\text{ }}X{\text{ }} + {\text{ }}X + III\]

Step 2-Convert each subgroup to their Hindus Arabic numerals

  $
  K = 1000 \\
  K = 1000 \\
  C = 100 \\
  X = 10 \\
  X = 10 \\
  III = 3 \\
$
 Step 3-Envelope Hindu numerals-Arabic numerals

\[KKCXXIII{\text{ }} = {\text{ }}K + K + C + X{\text{ + }}X + III{\text{ }} = {\text{ }}1000 + 1000 + 100 + 10 + 10 + 3{\text{ }} = {\text{ }}2123\]

The correct Hindu-Arabic numeral is therefore $2123$.

Note-Roman numeral, any of the symbols used in a numerical notation scheme based on the old Roman system. ... The symbols are \[I,{\text{ }}V,{\text{ }}X,{\text{ }}L,{\text{ }}C{\text{ }},{\text{ }}D,\]and $M,$ which stand in the Hindu-Arabic numeral system for \[1,{\text{ }}5,{\text{ }}10,{\text{ }}50{\text{ }},{\text{ }}100,{\text{ }}500,\] and $1000$ respectively.