Question

How do you write $98$ in roman numerals?

Answer 1

Convert into Roman numerals

In Roman numerals, $1$, $5$, $10$, $50$, $100$, $500$ and $1000$ are represented as $\mathrm{I}$, $\mathrm{V}$, $\mathrm{X}$, $\mathrm{L}$, $\mathrm{C}$, $\mathrm{D}$ and $\mathrm{M}$ (or $\overline{\mathrm{I}}$) respectively.

Every other number is written by adding or subtracting these from one another.

When smaller numbers are written after a bigger number, it is an addition. Example: $6=5+1=\mathrm{V}+\mathrm{I}=\mathrm{VI}$.

When smaller numbers are written before bigger numbers, it is subtraction. Example: $4=5-1=\mathrm{V}-\mathrm{I}=\mathrm{IV}$.

To write $98$ in roman numbers we need to follow the following steps.

1. Split the number into its place value: $98=90+8$
2. Convert each subgroup place value
$$\begin{gathered} 90=100-10=\mathrm{C}-\mathrm{X}=\mathrm{XC}\left[\because \mathrm{C}=100,\mathrm{X}=10\right] \\ 8=\mathrm{VIII} \end{gathered}$$

3. Combine the Roman numeral of the subgroup place value:

$\begin{array}{rcl}98& =& 90+8\\ & =& \mathrm{XC}+\mathrm{VIII}\\ & =& \mathrm{XCVIII}\end{array}$

Hence, $98$ in Roman numeral is $\mathrm{XCVIII}$.