Chapter Notes: Roman Numerals

# Chapter Notes: Roman Numerals Notes | Study Mathematics for Class 5 - Class 5

## Document Description: Chapter Notes: Roman Numerals for Class 5 2022 is part of Mathematics for Class 5 preparation. The notes and questions for Chapter Notes: Roman Numerals have been prepared according to the Class 5 exam syllabus. Information about Chapter Notes: Roman Numerals covers topics like What are Roman Numerals?, How to Write Numbers in Roman Numerals?, Large Roman Numerals and Chapter Notes: Roman Numerals Example, for Class 5 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Chapter Notes: Roman Numerals.

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 Table of contents What are Roman Numerals? How to Write Numbers in Roman Numerals? Large Roman Numerals
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What are Roman Numerals?

• Romans developed a different system of numeration about 2000 years ago, known as Roman numerals.
• Roman numerals are denoted using a different combination of symbols that include the English alphabet.
• There are seven basic Roman numerals
• These numerals and their corresponding Hindu-Arabic numerals are given below.

How to Write Numbers in Roman Numerals?

• You already know about the numerals I, V, and X and the method to write numbers up to 39.

• Here, we will learn how to write larger numbers using Roman numerals.

Tip: There is no symbol for zero in Roman system.

Question for Chapter Notes: Roman Numerals
Try yourself:Give the Arabic representation for the following numerals. XI

Large Roman Numerals

With the help of the chart given below, you can write large numbers in Roman numerals.

Chart of Roman Numerals from 1 to 10,000

Question for Chapter Notes: Roman Numerals
Try yourself:Write 69 in roman numerals.

Rule Number 1

When a letter is used more than once, we add its value each time to get the number.

Examples: II = 1 + 1 = 2
XXX = 10 + 10 + 10 = 30
CCC = 100 + 100 + 100  = 300
MM = 1000 + 1000 = 2000
MMM = 1000 + 1000 + 1000 = 3000

Tips:

• The same symbol cannot be repeated more than 3 times together.
• The symbols V, L and D are never repeated.

Check out the correct way of writing 45 in Roman Numerals!

Rule Number 2

When a symbol of smaller value is written to the right of a symbol of larger value, add the two values.

Examples: VII = 5 + 1 + 1 = 7
XII = 10 + 1 + 1 = 12
XXVII = 10 + 10 + 5 + 1 + 1 = 27
LVII = 50 + 5 + 1 + 1= 57
LXVI = 50 + 10 + 5 + 1 = 66
CVII = 100 + 5 + 1 + 1 = 107
CLXV = 100 + 50 + 10 + 5 = 165
DC = 500 + 100 = 600
MDCXVIII = 1000 + 500 + 100 + 10 + 5 + 1 + 1 + 1 = 1618

Question for Chapter Notes: Roman Numerals
Try yourself:

Choose the Roman representation for 18

Rule Number 3

When a symbol of a smaller value is written to the left of a symbol of a larger value, the smaller value is subtracted from the larger value.

Examples: IV = 5 – 1 = 4
IX = 10 – 1 = 9
XL = 50 – 10 = 40
XC = 100 – 10 = 90
CD = 500 – 100 = 400
CM = 1000 – 100 = 900

Tips:

• V, L and D are never subtracted.
• I can be subtracted from V and X only once.
• X can be subtracted from L and C only once.
• C can be subtracted from D and M only once.
• Thus, I or V is never written to the left of L or C. L is never written to the left of C.

Example 1: Write the following in Roman numerals.
(a) 45

45 = 40 + 5 = XL + V = XLV

(b) 99

99 = 90 + 9 = XC + IX = XCIX

(c) 92

92 = 90 + 2 = XC + II = XCII

(d) 78

78 = 50 + 20 + 5 + 3 = L + XX + V + III = LXXVIII

(e) 181

181 = 100 + 80 + 1 = C + LXXX + I = CLXXXI

Example 2: Write the following in Hindu-Arabic numeral.
(a) LXV

LXV = L + X + V = 50 + 10 + 5 = 65

(b) LIII

LIII = L + III = 50 + 3 = 53

(c) CDXCIX

CDXCIX = CD + XC + IX = 400 + 90 + 9 = 499

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