Roman Numerals Worksheet will help you in practicing and making you efficient in this topic. So our questions are based on roman numerations and rules that are used in solving them. So in this Roman Numerals Practice Worksheet, we will solve problems on how to represent roman numerals, how to convert roman numerals to Hindu-Arabic numbers, Writing given roman numerals in ascending and descending order, etc. Look no further and begin practicing using our Worksheet on Roman Numeration.
Also, Read: Roman Numerals
1. Convert given Hindu-Arabic numbers into roman numerical symbols.
(i)28
(ii)55
(iii)105
(iv)165
(v)189
(vi)1124
Solution:
(i)28
Now to convert Hindu–Arabic number 28 to roman numerical symbol. We have to first expand given numbers into thousands, hundreds, tens, and ones. This means we have to divide the given number according to its units, after expanding we have to follow roman number tables and rules to assign symbols to the numbers as follows.
28= 10 + 10 + 5 + 1 + 1 + 1
= XXVIII
(ii)55
Now to convert Hindu–Arabic number 55 into a roman numerical symbol. We have to first expand the given number as below, after expanding we have to follow roman number tables and rules to assign symbols to the numbers as following
55 = 50 + 5
= LV
(iii)105
Now to convert Hindu–Arabic number 105 into a roman numerical symbol. We have to first expand given number into thousands, hundreds, tens, and ones. This means we have to divide the given number according to its units, after expanding we have to follow roman number tables and rules to assign symbols to the numbers as follows.
105 = 100 + 5
= C V
(iv)165
Now to convert Hindu–Arabic number 165 to roman numerical symbol. We have to first expand given number into thousands, hundreds, tens, and ones. This means we have to divide the given number according to its units, after expanding we have to follow roman number tables and rules to assign symbols to the numbers as follows.
165 = 100 + 50 + 10 + 5
= C L X V
(v)189
Now to convert Hindu–Arabic number 189 to roman numerical symbol. We have to first expand given number into thousands, hundreds, tens, and ones. This means we have to divide the given number according to its units, after expanding we have to follow roman number tables and rules to assign symbols to the numbers as follows.
189 = 100 + 50 + 10 +10 + 10 + 9
= C L X X X IX
(vi)1124
Now to convert Hindu–Arabic number 1124 to roman numerical symbol. We have to first expand given number into thousands, hundreds, tens, and ones. This means we have to divide the given number according to its units, after expanding we have to follow roman number tables and rules to assign symbols to the numbers as follows.
1124 = 1000 + 100 + 10 +10 + 10 + 4
= M C X X IV
2. Convert given roman numerical symbols into Hindu-Arabic numbers.
(i) XXXVII
(ii) XLIV
(iii) LXXIX
(iv) CXCII
(v) CCVIII
(vi) MMMCCXI
Solution:
(i) XXXVII
Now to convert the given roman numerical symbol XXXVII to the Hindu-Arabic number we have to initially split the given symbol split the given number into a digit, double-digit, triple-digit, quadruple-digit symbols. Now after splitting our given roman numerical symbol we have to follow the rules to obtain the result as follows
XXXVII = X + X + X + V + I + I
= 10 + 10 + 10 + 5 + 1 + 1
= 37
(ii) XLIV
Now to convert the given roman numerical symbol XLIV to the Hindu-Arabic number we have to initially split given symbol split the given number into a digit, double-digit, triple digit, quadruple digit symbols. Now after splitting our given roman numerical symbol we have to follow the rules to obtain result as following
XLIX = XL + IV
= (50 – 10) + (5-1)
= 40 + 4
= 44
(iii) LXXIX
Now to convert given roman numerical symbol LXXIX to Hindu-Arabic number we have to initially split given symbol split the given number into digit, double digit, triple digit, quadruple digit symbols. Now after splitting our given roman numerical symbol we have to follow the rules to obtain result as following
LXXIX = L + X + X + (X-1)
= 50 + 20 + 5 + 9
= 79
(iv) CXCII
Now to convert the given roman numerical symbol CXCII to a Hindu-Arabic number we have to initially split the given symbol split the given number into digit, double digit, triple digit, quadruple digit symbols. Now after splitting our given roman numerical symbol we have to follow the rules to obtain result as following
CXCII = C + (XC) + I + I
= 100 + (100 – 10) + 1 + 1
= 192
(v) CCVIII
Now to convert the given roman numerical symbol CCVIII to a Hindu-Arabic number we have to initially split the given symbol split the given number into digit, double digit, triple digit, quadruple-digit symbols. Now after splitting our given roman numerical symbol we have to follow the rules to obtain result as following
CCVIII = 2(C) + V +3(I)
= 100 + 100 +5 + 1 + 1 + 1
= 208
(vi) MMMCCXI
Now to convert the given roman numerical symbol MMMCCXI to a Hindu-Arabic number we have to initially split the given symbol split the given number into digit, double digit, triple digit, quadruple digit symbols. Now after splitting our given roman numerical symbol we have to follow the rules to obtain result as following
MMMCCXI = M + M + M + C + C + X + 1
= 1000 + 1000 + 1000 + 100 + 100 + 10 + 1
= 3211
3. Choose the correct roman numerical symbol for Hindu-Arabic numbers
(i) 28
a) XXVIII
b) XXIIV
Solution:
So to find the correct answers we have to convert the given options into roman numerical symbols.
28= 10 + 10 + 5 + 1 + 1 + 1
= XXVIII
Answer: a) XXVIII
4. Choose the correct roman numeral for the number 55
a) CC
b) LV
Solution:
Converting Numbers to Roman Numerals we have
55 = 50 + 5
= LV
Answer: b) LV
5. Choose the correct roman numeral for the number 105
a) CV
b) VC
Solution:
Expressing the given number as Roman Numeral we have105 = 100 + 5
= C V
Answer: a) CV
6. What is number 165 expressed as a Roman numeral
a) CLXV
b) CXLV
Solution:
165= 100 + 50 + 10 + 5
= C L X V
Answer: a) CLXV
7. What is Roman Numeral XXXVII in Numbers?
a)37
b)57
Solution:
We have to convert the given options into Hindu-Arabic Numbers.
XXXVII =3 (X0) + V + I + I
= 30 + 5 + 1 + 1
= 37
Answer: a) 37
8. What is Roman Numerals XLIV in Numbers?
a) 44
b) 46
Solution:
Converting Roman Numeral to Numbers we haveXLIX = XL + IV
= (50 – 10) + (5-1)
= 40 + 4
= 44
Answer: a) 44
9. What is Roman Numeral LXXIX in Numbers?
a) 76
b) 68
Solution:
Converting Roman Numeral to Numbers we haveLXXIX = L + X + X + V + I
= 50 + 20 + 5 +1
= 76
Answer: a) 76
10. Write given roman numerical symbols in ascending and descending order.
XLIV
CXCII
CCVIII
XXXVII
LXXIX
MMMCCXI
Solution:
Now we have to convert given roman numerical symbols into Hindu-Arabic numbers So that we can arrange them in ascending and descending order.
XLIX = XL + IV
= (50 – 10) + (5-1)
= 40 + 4
= 44
CXCII = C + (XC) + I + I
= 100 + (100 – 10) + 1 + 1
= 192
CCVIII = 2(C) + V +3(I)
= 100 + 100 +5 + 1 + 1 + 1
= 208
XXXVII = X + X + X + V + I + I
= 3(10) + 5 + 1 + 1
= 37
LXXIX = L + X + X + V + I
= 50 + 20 + 5 +1
= 76
MMMCCXI = M + M + M + C + C + X + 1
= 3(1000) + 100 + 100 + 1
= 3211
Ascending order: 37, 44, 76, 192, 208, 3211
XXVII, XLIV, LXXIX, CXCII, CCVIII, MMMCCXI
D, A, E, B, C, F.
Descending order: 3211, 208, 192, 76, 44, 37
MMMCXI, CCVIII, CXCII, LXXIX, XLIV, XXVII