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Roman Numerals Chapter Notes

Introduction

Dive into the fascinating world of Roman numerals, a number system created by the ancient Romans thousands of years ago! Unlike the numbers we use today, Roman numerals use special letters from the alphabet to represent values. This chapter will take you on a journey to understand these unique symbols, how to read them, and how to write them. Get ready to explore a system that’s still used on clocks, in books, and even in movies, bringing a touch of history to our modern world!

Roman Numerals Chapter Notes | Mathematics Class 4 ICSE

Symbols of Roman Numerals

  • Roman numerals use seven letters as symbols: I, V, X, L, C, D, and M.
  • Each symbol represents a specific value in the Hindu-Arabic numeral system.
  • There is no symbol for zero in the Roman numeral system.
  • The values are:
    • I = 1
    • V = 5
    • X = 10
    • L = 50
    • C = 100
    • D = 500
    • M = 1000
  • Example: The symbol X represents the number 10.

Reading Roman Numerals

  • Roman numerals are written by combining the seven symbols to form numbers.
  • Numbers are created by adding or subtracting the values of these symbols based on specific rules.
  • Example: XV = 10 + 5 = 15

Rule 1

  • When a symbol is repeated, add its value each time to get the total.
  • A symbol can only be repeated up to three times.
  • Example: III = 1 + 1 + 1 = 3

Rule 2

  • When a smaller symbol comes after a larger symbol, add their values together.
  • Example: VIII = 5 + 1 + 1 + 1 = 8

Rule 3

  • When a smaller symbol comes before a larger symbol, subtract the smaller value from the larger one.
  • Example: IV = 5 - 1 = 4

Rule 4

  • When a smaller symbol is between two larger symbols, subtract the smaller symbol’s value from the larger symbol that comes after it, then add the result to the first larger symbol.
  • Example: XIV = 10 + (5 - 1) = 10 + 4 = 14

​Roman Numerals up to 39

Roman Numerals Chapter Notes | Mathematics Class 4 ICSE

Solved Examples

Example 1: Write 27 in Roman numeral system.
Sol: 
​Break down 27 into parts: 20 + 7.
For 20, use XX (10 + 10).
For 7, use VII (5 + 1 + 1).
Combine: XX + VII = XXVII.
Ans: 27 = XXVII

Example 2: Write XIX in Hindu-Arabic numeral system.
Sol: 
​Break down XIX: X + IX.
X = 10.
IX = 10 - 1 = 9 (Rule 3).
Add: 10 + 9 = 19.
Ans: XIX = 19

Example 3: Write the predecessor of 38 in Roman numeral system.
Sol: 
Predecessor of 38 is 38 - 1 = 37.
Break down 37: 30 + 7.
For 30, use XXX (10 + 10 + 10).
For 7, use VII (5 + 1 + 1).
Combine: XXX + VII = XXXVII.
Ans: Predecessor of 38 = XXXVII

Example 4: Write the successor of XXVII in Hindu-Arabic numeral system.
Sol: 
Convert XXVII to Hindu-Arabic: XX = 20, VII = 5 + 1 + 1 = 7, so XXVII = 20 + 7 = 27.
Successor of 27 is 27 + 1 = 28.
Ans: Successor of XXVII = 28

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FAQs on Roman Numerals Chapter Notes - Mathematics Class 4 ICSE

1. What are the basic symbols used in Roman Numerals?
Ans.The basic symbols used in Roman Numerals are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). Each symbol has a specific value that is used to represent numbers.
2. How do you read Roman Numerals?
Ans.Reading Roman Numerals involves understanding the value of each symbol and the order in which they are placed. For example, if a smaller numeral appears before a larger one, you subtract the smaller from the larger (e.g., IV = 4). If a smaller numeral follows a larger one, you add it (e.g., VI = 6).
3. Can you explain how to convert a number from Arabic to Roman Numerals?
Ans.To convert an Arabic number to Roman Numerals, break the number down into thousands, hundreds, tens, and units. Then, use the corresponding Roman symbols for each part. For example, to convert 1987: 1000 (M) + 900 (CM) + 80 (LXXX) + 7 (VII) = MCMLXXXVII.
4. What are some examples of Roman Numerals in everyday life?
Ans.Roman Numerals are often found on clock faces, in the titles of movies (like Rocky II), and in the numbering of book chapters or events (like the Olympics). They provide a traditional way of denoting numbers.
5. Why are Roman Numerals still relevant today?
Ans.Roman Numerals are still relevant today because they represent a historical numbering system that is used for decorative purposes, formal events, and to convey a sense of tradition. They help in distinguishing certain events or works, like the Super Bowl or annual reports.
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