Roman Numerals Worksheet (Page 2 of 5) in pdf

Roman Numerals Worksheet Page 2

VI = 5+1 = 6

VIII = 5+1+1+1 = 5+3 = 8

XXXVII = 10 + 10 + 10 + 5 + 1 + 1 = 30 + 5 + 2 = 30 + 7 = 37

XVIII = 10 + 5 + 1 + 1 + 1 = 10 + 5 +3 = 10 + 8 = 18

In the last example, X (10) > V (5) > I (1), the result is addition of respective decimal values. Since

‘I’ is repeated thrice, the value is calculated first.

4. If more than 2 roman alphabets appear in an arithmetic and the decimal values are such that, in

ABC, A > B and B < C, first since B is less than C and appears to the left, going by rule 2 B’s

decimal value is subtracted from C’s decimal value. Then this temporary result is added to A’s

decimal value.

XXXIX = 10 + 10 + 10 + (10 – 1) = 10 + 10 +10 + 9 = 39

LXIV = 50 + 10 + (5 – 1) = 50 + 10 + 4 = 64

L (50) > X (10), I (1) < V (5), therefore first IV will be calculated (5 – 1 = 4) and then added to L +

Rules to construct roman numerals:

1. Pick the largest Roman alphabet lower than the value of the number to convert to Roman

numeral. Repeat the Roman alphabet until the sum adds up to the number or the sum not

exceeding the number. If the sum is not equal to the number and adding another currently

selected alphabet will exceed the number, chose the next largest Roman alphabet smaller than

the current Roman alphabet. Make the chosen alphabet as the current Roman alphabet and

repeat this procedure until the alphabets add up to give you the desired no.

3 – 1 + 1 + 1 = III

The next largest Roman alphabet smaller than 3 is I. Therefore ‘I’ is chosen and repeated 3 times

to represent 3.

8 – 5 + 1 + 1 + 1 = VIII

The next largest Roman alphabet lesser than the value of ‘8’ is V. So V is chosen and used once.

Repeating V again will make the sum as 10, so V is not repeated. Instead next smallest Roman

alphabet from the table (‘I’) is chosen and added to V. ‘I’ is repeated thrice to give a sum of 8.

Roman Numerals Worksheet Page 2