
The number $ LIV $ is greater than $ LVI $ .
A. True
B. False
Answer
577.8k+ views
Hint: To find comparison between Roman numbers we first convert them in normal by using fixed assign values to different letters and then after that on comparing with each other one can easily find numbers greater or smaller.
Complete step-by-step answer:
To find a solution to the given problem we first convert Roman number to normal numbers and then from that we compare them to find which is greater or smaller.
To write or understand a Roman we need to know some basic fixed values of letters.
For example in roman counting
Letter $ X\,\,stands\,\,for\,\,10 $
Letter $ L\,\,stands\,\,for\,\,50 $
Letter $ C\,\,stands\,\,for\,\,100 $
Letter $ D\,\,stands\,\,for\,\,500 $
and
Letter $ M\,\,s\tan ds\,\,for\,\,1000 $ .
Also, the letter written on Left stands for subtraction and Letter written on right stands for addition.
Given roman numbers are $ LIV $ and $ LVI $
Clearly, from given numbers we see that there is a letter L which stands equal to $ 50. $ and there is one I on the left of V, which stands for number $ 4 $ . As, $ IV $ if on the right of L therefore, its value will be added to the value of L.
Hence, value of $ LIV $ is $ 50 + 4 = 54 $
Now, for the number $ LVI $ we see that I is on the right of V. Therefore, one is added to value of V. So, $ VI $ stands for $ 5 + 1 = 6 $
Also, VI is on the right of L therefore, its value will be added to the value of L.
Hence, the value of $ LVI $ is $ 50 + 6 = 56 $ .
Therefore, from above we see that number $ 56 $ is greater than that of $ 54. $
Or we can say that $ LVI $ is greater than $ LIV $ .
Hence, the given statement is false.
So, the correct answer is “Option B”.
Note: In roman counting while doing calculation in roman one must be careful regarding few rules. Which are numbers V can’t be written more than once and no letter is written more than three times. Left of V, X, C, L and D stands for subtraction and right of these stands for addition.
Complete step-by-step answer:
To find a solution to the given problem we first convert Roman number to normal numbers and then from that we compare them to find which is greater or smaller.
To write or understand a Roman we need to know some basic fixed values of letters.
For example in roman counting
Letter $ X\,\,stands\,\,for\,\,10 $
Letter $ L\,\,stands\,\,for\,\,50 $
Letter $ C\,\,stands\,\,for\,\,100 $
Letter $ D\,\,stands\,\,for\,\,500 $
and
Letter $ M\,\,s\tan ds\,\,for\,\,1000 $ .
Also, the letter written on Left stands for subtraction and Letter written on right stands for addition.
Given roman numbers are $ LIV $ and $ LVI $
Clearly, from given numbers we see that there is a letter L which stands equal to $ 50. $ and there is one I on the left of V, which stands for number $ 4 $ . As, $ IV $ if on the right of L therefore, its value will be added to the value of L.
Hence, value of $ LIV $ is $ 50 + 4 = 54 $
Now, for the number $ LVI $ we see that I is on the right of V. Therefore, one is added to value of V. So, $ VI $ stands for $ 5 + 1 = 6 $
Also, VI is on the right of L therefore, its value will be added to the value of L.
Hence, the value of $ LVI $ is $ 50 + 6 = 56 $ .
Therefore, from above we see that number $ 56 $ is greater than that of $ 54. $
Or we can say that $ LVI $ is greater than $ LIV $ .
Hence, the given statement is false.
So, the correct answer is “Option B”.
Note: In roman counting while doing calculation in roman one must be careful regarding few rules. Which are numbers V can’t be written more than once and no letter is written more than three times. Left of V, X, C, L and D stands for subtraction and right of these stands for addition.
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