Operations on Roman Numerals

The four basic operations on Roman numerals are addition; subtraction; multiplication and division. 

The Roman numerals satisfy the commutative, associative and distributive laws for addition, subtraction, multiplication and division. If we add, subtract, multiply or divide (except by zero) with two Roman numerals, we will get a Roman numerals. Therefore, the Roman numerals are ‘closed’ with respect to addition, subtraction, multiplication and division)

We will learn about the basic operations on Roman numerals in more detailed explanations along with the examples.

I. Addition of Roman Numerals:

1. Find the sum of LXXX and VI. Give the answer is Roman Numerals.

Solution:

LXXX = 50 + 10 + 10 + 10 = 80 and VI = 5 + 1 = 6

Now, LXXX + VI

     = 80 + 6

     = 86

We write 86 in Roman numerals as LXXXVI.

Therefore, LXXX + VI = LXXXVI

 

2. Add DCIX + MCII. Give the answer is Roman Numerals.

Solution:

DCIX = 500 + 100 + 10 - 1 = 609 and MCII = 1000 + 100 + 2 = 1102

Now, DCIX + MCII

     = 609 + 1102

     = 1711

We write 1711 in Roman numerals as MDCCXI.

Therefore, DCIX + MCII = MDCCXI

 

II. Subtraction of Roman Numerals:

3. Subtract LI from XCV. Write the answer in Roman numerals.

Solution:

LI = 50 + 1 = 51 and XCV = 100 - 10 + 5 = 95

Now, XCV – LI

     = 95 – 51

     = 44

We write 44 in Roman numerals as XLIV.

Therefore, XCV - LI = XLIV


4. Subtract LXIII from CLVII. Write the answer in Roman numerals.

Solution:

LXIII = 50 + 10 + 1 + 1 + 1 = 63 and CLVII = 100 + 50 + 5 + 1 + 1 = 157

Now, CLVII - LXIII

     = 157 - 63

     = 94

     = XCIV

Therefore, CLVII - LXIII = XCIV

Operations on Roman Numerals


III. Multiplication of Roman Numerals:

5. Find the product of the Roman numerals IX and XC.

Solution:

IX = 10 - 1 = 9 and XC = 100 - 10 = 90

Now, IX × XC

     = 9 × 90

     = 810

     = DCCCX

Therefore, IX × XC = DCCCX


6. Find the product of the Roman numerals LIX and XIV.

Solution:

LIX = 50 + 10 - 1 = 59 and XIV = 10 + 5 - 1 = 14

Now, LIX × XIV

     = 59 × 14

     = 826

     = DCCCXXVI

Therefore, LIX × XIV = DCCCXXVI


IV. Division of Roman Numerals:

7. Divide CXXV by XXV.

Solution:

CXXV = 100 + 10 + 10 + 5 = 125 and XXV = 10 + 10 + 5 = 25

Now, CXXV ÷ XXV

    = 125 ÷ 25

    = 5

    = V

Therefore, CXXV ÷ XXV = V


8. Find the quotient of MCXI and XI.

Solution:

MCXI = 1000 + 100 + 10 + 1 = 1111 and XI = 10 + 1 = 11

Now, MCXI ÷ XI

    = 1111 ÷ 11

    = 101

    = CI

Therefore, MCXI ÷ XI = CI.







5th Grade Math Problems

From Operations on Roman Numerals to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Successor and Predecessor | Successor of a Whole Number | Predecessor

    Jul 29, 25 12:59 AM

    Successor and Predecessor
    The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number…

    Read More

  2. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 28, 25 01:52 PM

    Volume of a Cuboids
    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  3. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  4. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  5. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More