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Word Problems: Roman Numerals | Mathematics for Class 5 PDF Download

Q1: Write the Roman numeral for 349.
Ans: 
CCCXLIX

Sol: 
Step 1: Break down the number into largest tens and ones according to roman numerals that fits into that number
349 can be broken down into:  349 = 300+40+9 
Step 2: Write Each Part as Roman Numerals 
300 = CCC
40= XL
9 = IX
Step 3: Combine the Roman Numerals After combining, we get 
=CCC + XL + IX  
=CCCXLIX

Q2: Add the Roman numerals XLIII and XVII.
Ans:
LX

Sol: 
Step 1 :Let's find the values of XLIII and XVII

1. XLIII = 43
XL = 40
III = 3
So, XLIII = 40 + 3 = 43

2. XVII = 17
X = 10
V = 5
II = 2
So, XVII = 10 + 5 + 2 = 17
Step 2: Now, add the two
43 + 17 = 60
Step 3: Convert 60 back into Roman numerals
LX=60.
As,
L = 50
X = 10
So, L + X = 60
Therefore, XLIII + XVII = LX.

Q 3: Subtract the Roman numeral XXIV from LVI.
Ans:
XXXII

Sol: 
Step 1:To subtract XXIV from LVI, Lets calculate the respective values
1. LVI = 50 + 5 + 1 = 56
2. XXIV = 10 + 10 + (5 - 1) = 24
Step 2: Subtract:
56-24 = 3256 - 24 = 32
Step 3: Now, let's convert 32 back into Roman numerals
30 is written as XXX.
2 is written as II.
So, 32 in Roman numerals is XXXII.

Q 4: Express the Hindu-Arabic number 789 in Roman numerals.
Ans: 
DCCLXXXIX

Sol: 
Step 1: We break it down into its components
789 = 700+80+9
Step 2: Write each part in Roman Numerals

1. 700 = DCC (D = 500, CC = 200)
2. 80 = LXXX (L = 50, XXX = 30)
3. 9 = IX (10 - 1)
Step 2: Now, combine these components

DCC + LXXX + IX = DCCLXXXIX

Q 5: Choose the Roman representation for 56.

a. LVI

b. XLVI

c. XVII

d. LXVI

Ans: Option 'a' is correct

Sol: 
The Hindu-Arabic number 56 is represented in Roman numerals as LVI.
L = 50
V = 5
I = 1
So, 56 = L + V + I = LVI.

Q 6: Add the Roman numerals CD and XC.
Ans:
CDXC

Sol: 
Step 1: Convert them to their numeric values
CD = 400 (C = 100, D = 500; CD means 500 - 100)
XC = 90 (X = 10, C = 100; XC means 100 - 10)
Step 2:Add the values together
400+90=490
Step 3:Convert 490 back into Roman numerals
400 is written as CD.
90 is written as XC.
So after combining, 490 in Roman numerals is CDXC.

Q 7: Subtract the Roman numeral IX from XXV.
Ans:
XVI

Sol: 
Step 1: Convert them into their numeric values
XXV = 10 + 10 + 5 = 25
IX = 10 - 1 = 9
Step 2: Now, subtract
25−9=16
Step 3: Convert 16 back into Roman numerals
10 is represented as X.
5 is represented as V.
1 is represented as I.
So, 16 in Roman numerals is XVI.

Q 8: Write the Roman numeral for the year 1776.
Ans: 
MDCCLXXVI

Sol: 
Step 1: break it down into its components
1. 1000 = M (for 1000)
2. 700 = DCC (D = 500, CC = 200)
3. 70 = LXX (L = 50, XX = 20)
4. 6 = VI (5 + 1)
Step 2: Now, combine these components
M + DCC + LXX + VI = MDCCLXXVI

Q 9: Convert the Roman numeral LXXXIV to a Hindu-Arabic number.
Ans:
84

Sol: 
Step 1: Break it down as follows
L = 50
XXX = 30 (10 + 10 + 10)
IV = 4 (5 - 1)
Step 2: Now, add these values together
= 50+30+4
=84

Q 10: Add the Roman numerals DCCC and CC.
Ans: 
M

Sol: 
Step 1: Convert them to their numeric values
DCCC = 800 (D = 500, CCC = 300)
CC = 200 (C = 100, C = 100)
Step 2: Now, add the values together
800+200=1000
Step 3: Convert 1000 back into Roman numerals
1000 is represented as M.

The document Word Problems: Roman Numerals | Mathematics for Class 5 is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Word Problems: Roman Numerals - Mathematics for Class 5

1. What are Roman numerals and how are they used in everyday life?
Ans.Roman numerals are a numeral system originating from ancient Rome, using combinations of letters from the Latin alphabet (I, V, X, L, C, D, M) to represent numbers. They are often used to denote the year of a movie release, the chapters in books, or the numbering of events like the Olympics.
2. How do you convert Roman numerals to Arabic numbers?
Ans.To convert Roman numerals to Arabic numbers, you add the values of the letters together, but if a smaller numeral precedes a larger one, you subtract it. For example, IV is 4 (5 - 1), while VI is 6 (5 + 1).
3. What are the basic symbols used in Roman numerals and their values?
Ans.The basic symbols in Roman numerals include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). Each symbol has a specific value that contributes to the overall number.
4. How do you write the number 2023 in Roman numerals?
Ans.The number 2023 is written as MMXXIII in Roman numerals. This is derived from 2000 (MM) + 20 (XX) + 3 (III).
5. What are some tips for learning and remembering Roman numerals?
Ans.Some tips for learning Roman numerals include practicing by converting common numbers, using flashcards with symbols and values, and associating Roman numerals with historical dates or events to make them more memorable.
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