Question

Write the Indo-Arabic numerals for the given Roman numerals.

$CXLIX$
$XL$
$XLV$
$DCCLX$
$CXC$
$MCXL$

Accepted Answer

We need to convert the Roman numerals to Indo-Arabic numerals.

Rules of writing a Roman numeral:

$1 .$ When a digit of lower value is written to the left or before a digit of higher value, then the value of the lower digit is subtracted from the value of the digit of higher value.

$2 .$ When a digit of lower value is written to the right or after a digit of higher value, the values of all the digits are added.

$3 .$ The roman digits $MCXL$ can be repeated up to three times in succession to form a number.

Table for Roman numerals and their corresponding Indo-Arabic numerals is:

Roman numeral $I$ $V$ $X$ $L$ $C$ $D$ $M$

Indo-Arabic Numeral $1$ $5$ $10$ $50$ $100$ $500$ $1000$

Consider the first Roman numeral $CXLIX$ .

$CXLIX = C + XL + IX$

$= 100 + 40 + 9$

$= 149$

Hence, the Indo-Arabic numeral for $CXLIX is 149$ .

Now, consider the second Roman numeral $XL$ .

$XL = L - X$

$= 50 - 10$

$= 40$

Hence, the Indo-Arabic numeral for $XL is 40$ .

Now, consider the third Roman numeral $XLV$ .

$XL$

$= L - X + V$

$= 50 - 10 + 5$

$= 40 + 5$

$= 45$

Hence, the Indo-Arabic numeral for $XLV is 45$ .

Now, consider the fourth Roman numeral $DCCLX$ .

$DCCLX = D + C + C + L + X$

$= 500 + 100 + 100 + 50 + 10$

$= 760$

Hence, the Indo-Arabic numeral for $DCCLX is 760$ .

Now, consider the fifth Roman numeral $CXC$ .

$CXC = C + XC$

$= C + C - X$

$= 100 + 100 - 10$

$= 100 + 90$

$= 190$

Hence, the Indo-Arabic numeral for $CXC is 190$ .

Now, consider the sixth Roman numeral $MCXL$ .

$MCXL = M + C + XL$

$= M + C + L - X$

$= 1000 + 100 + 40$

$= 1140$

Hence, the Indo-Arabic numeral for $MCXL is 1140$ .

Write the Indo-Arabic numerals for the given Roman numerals.

$CXLIX$

$XL$

$XLV$

$DCCLX$

$CXC$

$MCXL$

Important Questions on Knowing Our Numbers

Learn and Prepare for any exam you want !

Write the Indo-Arabic numerals for the given Roman numerals. CXLIX XL XLV DCCLX CXC MCXL

Important Questions on Knowing Our Numbers

Learn and Prepare for any exam you want !

Write the Indo-Arabic numerals for the given Roman numerals.

$CXLIX$

$XL$

$XLV$

$DCCLX$

$CXC$

$MCXL$