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Question

In a Roman numeral, explain with the help of examples whether the value of the symbols will get added or subtracted if

(i) A symbol of smaller value is written to the right of a symbol of greater value?
(ii) A symbol of smaller value is written to the left of a symbol of greater value?

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Solution

(i) 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 the greater symbol.
For example, let us take VI. Here, the value of V in decimal value = 5
And the value of I in decimal value = 1
Now, 5 > 1, the left part is greater than the right part.
So we will add the value of the smaller value of the greater one.
The decimal value of VI = 5 + 1 = 6

(ii) 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.
For example, let us take IX.
Here, X = 10 and I = 1.
10>1, the value on the left is greater than the value on the right.
So, IX = 10 - 1 = 9.

But we need to be a little careful while using this rule.
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.

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