Question

Write the corresponding Hindu-Arabic numerals for the following.$KKCXXIII.$

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.

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.