Answer
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Hint:
We can list the symbols in Roman numerals representing each number. Then we can write the given number as the sum of Roman numerals. Then we can write the symbols representing the sum of the given number together to get the required Roman numeral.
Complete step by step solution:
We know that in Roman numerals,
I represent the number 1.
V represents the number 5.
X represents the number 10.
L represents the number 50.
M represents the number 100.
And so on.
We have the number 66.
We can write it as the sum of the product of the face value and the place’s value.
$ \Rightarrow 66 = 6 \times 10 + 6$
So, we have,
$ \Rightarrow 66 = 60 + 6$
We expand it in such a way that each term represents a Roman numeral.
$ \Rightarrow 66 = 50 + 10 + 5 + 1$
We give the corresponding symbols representing the Roman numerals
$ \Rightarrow 66 = L + X + V + I$
We know that Roman numeral writing together in the decreasing order represents the values each symbol represents.
$ \Rightarrow 66 = LXVI$
So, the number 66 in Roman numerals is LVXI
Note:
We must note that the numbers 4 are represented by IV writing a smaller number before the larger number which represents subtraction. This method is used to represent the numbers 9, 40, 90 etc. In Roman numerals we must never write a number as the sum of more than 3 symbols.
Alternate solution to the problem is given by,
We know that 6 is represented as IV which is the sum of 5 and 1.
So, 60 can be represented as the sum of 50 and 10. We know that X represents the number 10 and L represents the number 50.
So, we can write 60 as LX.
Now we can write them together as LVXI.
So, the number 66 in Roman numerals is LVXI
We can list the symbols in Roman numerals representing each number. Then we can write the given number as the sum of Roman numerals. Then we can write the symbols representing the sum of the given number together to get the required Roman numeral.
Complete step by step solution:
We know that in Roman numerals,
I represent the number 1.
V represents the number 5.
X represents the number 10.
L represents the number 50.
M represents the number 100.
And so on.
We have the number 66.
We can write it as the sum of the product of the face value and the place’s value.
$ \Rightarrow 66 = 6 \times 10 + 6$
So, we have,
$ \Rightarrow 66 = 60 + 6$
We expand it in such a way that each term represents a Roman numeral.
$ \Rightarrow 66 = 50 + 10 + 5 + 1$
We give the corresponding symbols representing the Roman numerals
$ \Rightarrow 66 = L + X + V + I$
We know that Roman numeral writing together in the decreasing order represents the values each symbol represents.
$ \Rightarrow 66 = LXVI$
So, the number 66 in Roman numerals is LVXI
Note:
We must note that the numbers 4 are represented by IV writing a smaller number before the larger number which represents subtraction. This method is used to represent the numbers 9, 40, 90 etc. In Roman numerals we must never write a number as the sum of more than 3 symbols.
Alternate solution to the problem is given by,
We know that 6 is represented as IV which is the sum of 5 and 1.
So, 60 can be represented as the sum of 50 and 10. We know that X represents the number 10 and L represents the number 50.
So, we can write 60 as LX.
Now we can write them together as LVXI.
So, the number 66 in Roman numerals is LVXI
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