Class 6 Maths Knowing Our Numbers Roman Numerals

Roman Numerals

The number system invented by Romans is called Roman number system or Roman Numerals.

Symbol

Value

Repitition Allowed

I

1

Yes (3 times at max)

V

5

No

X

10

Yes (3 times at max)

L

50

No

C

100

Yes (3 times at max)

D

500

No

M

1000

Yes (3 times at max)

 

Rules for writing Roman Numerals:

  1. If a symbol is repeated, its value is added as many times as it occurs. Examples,
    1. II = 2
    2. CCC = 300
  2. A symbol is not repeated more than three times. But the symbols V, L and D are never repeated. Example,
    1. XX is correct but DD is not.
  3. If a symbol of smaller value is written to the right of a symbol of greater value, its value gets added to the value of greater symbol. Example,
    1. XI = 11
    2. VII = 7
  4. If a symbol of smaller value is written to the left of a symbol of greater value, its value is subtracted from the value of the greater symbol. Example,
    1. IX = 9
    2. XC = 90
  5. The symbols V, L and D are never written to the left of a symbol of greater value, i.e. V, L and D are never subtracted. The symbol I can be subtracted from V and X only. The symbol X can be subtracted from L, M and C only.

Problem: Write in Roman Numerals.

Solution:

(a) 73

73 = 70 + 3

70 = 50 + 10 + 10 = LXX

3 = 1 + 1 + 1 = III

Hence 73 can be written as LXXIII

(b) 92

92 = 90 + 2

90 = 100 - 10 = XC

2 = 1 + 1 = II

Hence 92 can be written as XCII

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