Show that each of the following is meaningless. Give reason in each case.
(i) VC
(ii) IL
(iii) VVII
(iv) IXX
Hint. (i) V is never subtracted.
(ii) I can be subtracted from V and X only.
(iii) V, L, D are never repeated.
(iv) IX cannot occur to the left of X.
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Answers
Answer:
Step-by-step explanation:
1. VC
2. IL
3. VVII
4. IXX
Now we need to show that each of the given Roman Numbers are meaningless.
So in the first case we have VC
Now in terms of subtraction in Roman numerals, like X, C, I are subtracted but not V or L. Also the numeral V does not appear in front of a greater value that is C = 100
So 95 is XCV and not VC
In the next number we have IL
Here subtraction with a numeral less than 1/10th of the value to its right is not there.
I will be subtracted from V and X. So 49 is written as XLIX.
So from third case we have VVII.
Here some symbols can be repeated in a row up to 3 times but the number V may not be repeated. So we can write this as XVII = 17
So in the fourth case we have IXX
Here the lower value IX = 9 may not come in front of a greater numeral X = 10 and IX cannot occur to the left.
So we can write this as XIX = 19