Roman Numerals Questions

Roman numerals questions with solutions are given here to practise and learn Roman numerals. Roman numerals are a way to write general decimals or base ten numbers. Romans from ancient Europe devised this numeral system. Roman numerals have specific symbols designated to different numerals of the number system. These symbols are given in the following chart.

Roman Numerals Chart

For example, if we want to write 156 in Roman numerals, it will be CLVI.

Video Lesson on Roman Numerals

Roman Numerals Questions with Solutions

Let us solve a few questions on Roman numerals.

Question 1:

Write the following in Roman numerals:

(i) 34

(ii) 195

(iii) 276

(iv) 46

(v) 91

(vi) 98

(vii) 209

(viii) 593

(ix) 405

(x) 762

Solution:

Number

Roman Numerals

34

XXXIV

195

CXCV

276

CCLXXVI

46

XLVI

91

XCI

98

XCVIII

209

CCIX

593

DXCIII

405

CDV

762

DCCLXII

Question 2:

Convert the following Arabic numerals into Roman numerals.

(i) 1927

(ii) 2086

(iii) 2986

(iv) 7298

(v) 3001

(vi) 32094

(vii) 98100

(viii) 87107

(ix) 109826

(x) 2976

Solution:

Number

Roman Numerals

1927

MCMXXVII

2086

MMLXXXVI

2986

MMCMLXXXVI

7298

\(\begin{array}{l}\overline{V}MMCCXCVIII\end{array} \)

3001

MMMI

32094

\(\begin{array}{l}\overline{XXX}MMXCIV\end{array} \)

98100

\(\begin{array}{l}\overline{XCV}MMMC\end{array} \)

87107

\(\begin{array}{l}\overline{LXXXV}MMCVII\end{array} \)

109826

\(\begin{array}{l}\overline{CIX}DCCCXXVI\end{array} \)

2976

MMCMLXXVI

Roman Numerals for Larger Numbers

Number

5000

10,000

50,000

100,000

500,000

1,000,000

Roman Numeral

\(\begin{array}{l}\overline{V}\end{array} \)

\(\begin{array}{l}\overline{X}\end{array} \)

\(\begin{array}{l}\overline{L}\end{array} \)

\(\begin{array}{l}\overline{C}\end{array} \)

\(\begin{array}{l}\overline{D}\end{array} \)

\(\begin{array}{l}\overline{M}\end{array} \)

Question 3:

Write the following Roman numerals in Arabic numerals:

(i) LXXVII

(ii) XCIX

(iii) DXLVI

(iv) MMLXX

\(\begin{array}{l}(v)\:\overline{XIX}DCCLIV\end{array} \)

Solution:

(i) LXXVII

Roman Numeral

=

Arabic Numeral

L

=

50

XX

=

20

VII

=

7

Total

=

77

(ii) XCIX

Roman Numeral

=

Arabic Numeral

XC

=

90

IX

=

9

Total

=

99

(iii) DXLVI

Roman Numeral

=

Arabic Numeral

D

=

500

XL

=

40

VI

=

6

Total

=

546

(iv) MMLXX

Roman Numeral

=

Arabic Numeral

MM

=

2000

L

=

50

XX

=

20

Total

=

2070

\(\begin{array}{l}(v)\:\overline{XIX}DCCLIV\end{array} \)

Roman Numeral

=

Arabic Numeral

\(\begin{array}{l}\overline{X}\end{array} \)

=

10,000

\(\begin{array}{l}\overline{IX}\end{array} \)

=

9000

DCC

=

700

L

=

50

IV

=

4

Total

=

19,754

Also Read:

Question 4:

Write the following Roman numerals in words:

\(\begin{array}{l}(i).\:\overline{V}MMMDCXLIII\end{array} \)

(ii) MMDCXLVII

(iii) MCCLVIII

Solution:

\(\begin{array}{l}(i).\:\overline{V}MMMDCXLIII\end{array} \)

Let us first convert the Roman numerals to Arabic numerals.

Roman Numeral

=

Arabic Numeral

\(\begin{array}{l}\overline{V}MMM\end{array} \)

=

8000

DC

=

600

XL

=

40

III

=

3

Total

=

8643

∴ 8643 = Eight thousand six hundred forty-three.

(ii) MMDCXLVII

Let us first convert the Roman numerals to Arabic numerals.

Roman Numeral

=

Arabic Numeral

MM

=

2000

D

=

500

C

=

100

XL

=

40

VII

=

7

Total

=

2647

∴ 2647 = Two thousand six hundred forty-seven.

(iii) MCCLVIII

Let us first convert the Roman numerals to Arabic numerals.

Roman Numeral

=

Arabic Numeral

M

=

1000

CC

=

200

L

=

50

VIII

=

8

Total

=

1258

∴ 1258 = One thousand two hundred fifty-eight.

Question 5:

Arrange the following Roman numerals in ascending order:

CCXCVIII, CCCLXI, CCVII, CCLXXXIX, CCCXVI, CCVI.

Solution:

Roman Numerals

Arabic Numerals

CCXCVIII

298

CCCLXI

361

CCVII

207

CCLXXXIX

289

CCCXVI

316

CCVI

206

CCVI < CCVII < CCLXXXIX < CCXCVIII < CCCXVI < CCCLXI.

Question 6:

Arrange the following Roman numerals in descending order:

DLXXVI, DCCVI, DLXXX, DVIII, DLXVII, DLX.

Solution:

Roman Numerals

Arabic Numerals

DLXXVI

576

DCCVI

706

DLXXX

580

DVIII

508

DLXVII

567

DLX

560

706 > 580 > 576 > 567 > 560 > 508.

∴ DVIII < DLX < DLXVII < DLXXVI < DLXXX < DCCVI

Question 7:

Match the following:

Column A

Column B

\(\begin{array}{l}a.\:\overline{V}DCII\end{array} \)

(i) 3456

\(\begin{array}{l}b.\:\overline{V}MCLXXXVI\end{array} \)

(ii) 1023

c. MXXIII

(iii) 673

d. MMDCCLXV

(iv) 5602

e. MMMCDLVI

(v) 6186

f. DCLXXIII

(vi) 2765

Solution:

a. – (iv)

b. – (v)

c. – (ii)

d. – (vi)

e. – (i)

f. – (iii)

Question 8:

Use the following Roman numerals to form 5 different numerals: X, V, I

Solution:

Five different numerals are: XI, XV, IX, VI, XVI.

Question 9:

Evaluate:

(i) XCII + CXII

(ii) CCXXXIV – CCII

(iii) LVI × XVI

Solution:

(i) XCII = 92 and CXII = 112

Then, 92 + 112 = 204

∴ XCII + CXII = CCIV.

(ii) CCXXXIV = 234 and CCII = 202

Then, 234 – 202 = 32

∴ CCXXXIV – CCII = XXXII.

(iii) LVI = 56 and XVI = 16

Then, 56 × 16 = 896

∴ LVI × XVI = DCCCXCVI.

Question 10:

State ‘True’ or ‘False’ for the following:

(i) V is never written left to X.

(ii) The roman numeral for 500 is CCCLLLL.

(iii) There is no sign for 0 in the Roman numerals.

(iv) D, L, and M stand for 500, 50 and 1000, respectively.

Solution:

(i) V is never written left to X. (True)

(ii) The Roman numeral for 500 is CCCLLLL. (False)

(iii) There is no sign for 0 in the Roman numerals. (True)

(iv) D, L, and M stand for 500, 50 and 1000, respectively. (True)

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Prime Number Questions

Practice Questions on Roman Numerals

1. Write the following numbers in Roman numerals:

(i) 265

(ii) 465

(iii) 586

(iv) 470

(v) 3005

(vi) 4587

2. Write the following Roman numerals in Arabic numerals:

(i) MMMCCLXXXVII

(ii) MMMCDLXXXVI

(iii) MMMXL

\(\begin{array}{l}(iv)\:\overline{V}DCII\end{array} \)

(v) MLXVIII

\(\begin{array}{l}(vi)\:\overline{XXX}MMDCCCLXXVI\end{array} \)

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