Answer
Verified
381.6k+ views
Hint: In this type of question we have to use the concept of roman numerals conversion. In conversion of a number into Roman numeral 7 major letters are used they are \[\text{I,V,X,L,C,D }\!\!\And\!\!\text{ M}\] used to denote the numbers 1, 5, 10, 50, 100, 500 & 1000 respectively. Roman letters are usually written largest to smallest from left to right but not always. When we write Roman letters largest to smallest from left to right a letter to the right of another letter then it get added, for example when we write a Roman number \[\text{XVIII}\] then it will represent a number 18 as \[\text{XVIII = 10+5+3 = 18}\]. Also when we write Roman letters smallest to largest from left to right a letter to the left of another letter then it gets subtracted, for example \[\text{CD}\] then it will represent a number 400 as \[\text{CD = 500 - 100 = 400}\]. Now, here first we perform the division of 144 and 16 then the quotient obtained we write it in Roman numerals.
Complete step-by-step solution:
Now, we have to express the number obtained when 144 is divided by 16 in Roman numerals.
For this let us first perform division of 144 and 16
\[\Rightarrow 16\overset{9}{\overline{\left){\begin{align}
& 144 \\
& \underline {- 144} \\
&0 \\
\end{align}}\right.}}\]
Hence, when we divide 144 by 16 we get 9. Now we have to express 9 in Roman numerals.
Now, we know that we can express 9 as \[9=10-1\] and hence in roman numerals we can write the number 9 as \[\text{IX}\]
Hence, option (d) is the correct option.
Note: In this type of question we have to note that Roman numerals are special characters and alphabets that represent a number using lines and letters. Also students have to remember that in case of Roman numerals we cannot use the \[\text{IIII}\] instead of that we use the subtraction principle. A subtraction notation is used in the case of 400, 900, 40, 90, 9 and 4 to differentiate between the existing digits.
Complete step-by-step solution:
Now, we have to express the number obtained when 144 is divided by 16 in Roman numerals.
For this let us first perform division of 144 and 16
\[\Rightarrow 16\overset{9}{\overline{\left){\begin{align}
& 144 \\
& \underline {- 144} \\
&0 \\
\end{align}}\right.}}\]
Hence, when we divide 144 by 16 we get 9. Now we have to express 9 in Roman numerals.
Now, we know that we can express 9 as \[9=10-1\] and hence in roman numerals we can write the number 9 as \[\text{IX}\]
Hence, option (d) is the correct option.
Note: In this type of question we have to note that Roman numerals are special characters and alphabets that represent a number using lines and letters. Also students have to remember that in case of Roman numerals we cannot use the \[\text{IIII}\] instead of that we use the subtraction principle. A subtraction notation is used in the case of 400, 900, 40, 90, 9 and 4 to differentiate between the existing digits.
Recently Updated Pages
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Which one of the following places is not covered by class 10 social science CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE