
XIX+XXX=______
A. 49
B. 51
C. 55
D. 44
Answer
509.7k+ views
Hint: First of all we will convert the given roman symbols into roman numbers using the rules of conversion, that are, when a symbol appears after a larger or equal symbol then the symbols are added and if a symbol appears before a larger symbol then the values of the symbols are subtracted. At last, we will add the numbers to get the required result.
Complete step by step answer:
We have to add the roman symbols XIX+XXX
We will first convert the given roman symbols to Roman numerals.
We shall begin by converting XIX
Now, we know that x represents 10 and I represent 1 in Roman numerals.
The rule to convert such Roman symbols to Roman numerals states that when a symbol appears after a larger or equal symbol then the symbols are added.
Hence, the symbols X and IX will be added.
Also, if a symbol is before a larger symbol then the symbol is subtracted from the larger number. Then the value of IX is 10-1 which is equal to 9.
Hence the value of XIX is 10+9=19
Now, we will find the value of XXX
Here the symbols are added, then XXX represents 10+10+10 which is 30
But, we have to find the value of XIX+XXX
On substituting the value of the symbols, we get
\[19 + 30 = 49\]
Thus, option A is correct.
Note: Students must know the rules of conversion of Roman symbols to Roman numerals. One also has to remember certain symbols of numerals to do the questions correctly.
Complete step by step answer:
We have to add the roman symbols XIX+XXX
We will first convert the given roman symbols to Roman numerals.
We shall begin by converting XIX
Now, we know that x represents 10 and I represent 1 in Roman numerals.
The rule to convert such Roman symbols to Roman numerals states that when a symbol appears after a larger or equal symbol then the symbols are added.
Hence, the symbols X and IX will be added.
Also, if a symbol is before a larger symbol then the symbol is subtracted from the larger number. Then the value of IX is 10-1 which is equal to 9.
Hence the value of XIX is 10+9=19
Now, we will find the value of XXX
Here the symbols are added, then XXX represents 10+10+10 which is 30
But, we have to find the value of XIX+XXX
On substituting the value of the symbols, we get
\[19 + 30 = 49\]
Thus, option A is correct.
Note: Students must know the rules of conversion of Roman symbols to Roman numerals. One also has to remember certain symbols of numerals to do the questions correctly.
Roman Symbol | I | II | III | IV | V | VI | VII | VIII | IX | X | L | C | D | M |
Roman numeral | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 50 | 100 | 500 | 1000 |
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