Write the following in Roman numerals. 154
Answer
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Hint: Here, we will denote the given number in the form of Roman Numeral. Roman Numerals are the system of representation of numbers in the form of letters.
Complete step-by-step answer:
Roman Numerals are the symbols based on the notation of numbers based on the ancient roman system. The symbols I, V, X, L, C, D and M denote the numbers 1, 5, 10, 50, 100, 500 and 1000 respectively.
We can write the roman numerals by using the rules:
1. If a letter or a group of letters are placed before the letter of greater value, then the value has to be subtracted.
2.If a letter or a group of letters are placed after the letter of greater value, then the value has to be added.
3. A letter can be repeated only for three times.
Now, we will find the Roman Numeral for the number 154.
\[154 = 100 + 50 + 4\]
As in roman numbers the number 4 is the combination of 5 and 1, so rewriting 4 in terms of 5 and 1, we get
\[ \Rightarrow 154 = 100 + 50 + 5 - 1\]
We can denote 100 as C and 50 as L, the number 1 as I and 5 as V.
By using the rule, we get
\[ \Rightarrow 154 = CLIV\]
Therefore, the roman numeral for 154 is \[CLIV\].
Note: We should know the rules for writing a roman numeral. While writing the roman numeral we have to write the given number in the expansion form that is we will break the numbers in terms of thousands, hundreds, tens and ones. When we are given the roman numeral to find the number then the same rule can be used. We can see the roman numerals are used in marking the hours in the clock and in denoting the chapters in the book.
Complete step-by-step answer:
Roman Numerals are the symbols based on the notation of numbers based on the ancient roman system. The symbols I, V, X, L, C, D and M denote the numbers 1, 5, 10, 50, 100, 500 and 1000 respectively.
We can write the roman numerals by using the rules:
1. If a letter or a group of letters are placed before the letter of greater value, then the value has to be subtracted.
2.If a letter or a group of letters are placed after the letter of greater value, then the value has to be added.
3. A letter can be repeated only for three times.
Now, we will find the Roman Numeral for the number 154.
\[154 = 100 + 50 + 4\]
As in roman numbers the number 4 is the combination of 5 and 1, so rewriting 4 in terms of 5 and 1, we get
\[ \Rightarrow 154 = 100 + 50 + 5 - 1\]
We can denote 100 as C and 50 as L, the number 1 as I and 5 as V.
By using the rule, we get
\[ \Rightarrow 154 = CLIV\]
Therefore, the roman numeral for 154 is \[CLIV\].
Note: We should know the rules for writing a roman numeral. While writing the roman numeral we have to write the given number in the expansion form that is we will break the numbers in terms of thousands, hundreds, tens and ones. When we are given the roman numeral to find the number then the same rule can be used. We can see the roman numerals are used in marking the hours in the clock and in denoting the chapters in the book.
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