Roman Numerals Worksheet (Page 3 of 5) in pdf

Roman Numerals Worksheet Page 3

26 – 10 + 10 + 5 + 1 = XXVI

The next smallest Roman alphabet lesser than 26 is X (10). So X is chosen.

Numeral

Value

compare

10 < 26 (ok)

10+10 = 20

20 < 26 (ok)

XXX

10+10+10 = 30

30 > 26 (not ok, choose next largest alphabet

lesser than X). Revert to step 2.

XXV

10 + 10 + 5 = 25

25 < 26 (ok)

XXVV

10 + 10 + 5 + 5 =

30 > 26 (not ok, choose next largest alphabet

lesser than X). Revert to step 4.

XXVI

10 + 10 + 5 + 1 =

26 = 26 (End here)

2. Any roman alphabet is never repeated more than 3 times consecutive. Instead, the next biggest

Roman alphabet is picked and a subtraction is performed.

4 = 1 + 1 + 1 + 1 = IIII by rule 1(wrong)

4 = 5 – 1 = IV (right)

4 is addition of four ones but 4 ones cannot be written consecutive. So next highest roman

alphabet (V) is chosen and a subtraction is performed, hence the result is IV.

9 = 5 + 1 + 1 + 1+ 1 = VIIII by first rule, but quadruple repetition not allowed. Instead of ‘ V’

selecting next biggest alphabet (X) and subtracting 1 (I).

9 = 10 – 1 = IX. (right)

3. Only powers of 10 (1, 10, 100…I, X and C respectively) can be subtracted. That means non power

of 10 can be in subtraction, but cannot assume the negative sign. (VXX = 15 is wrongs as it

translates to (10-5) + 10, non power of 10 has negative sign here. But 4 = 5 -1 = IV is valid here as

the alphabet bearing negative sign is 1 = 10

and 5 has positive sign.)

45 cannot be written as 50 – 5, that is, VL (wrong)

Roman Numerals Worksheet Page 3