1002 in Roman Numerals
2026-02-28 23:18 Diff
https://brightchamps.com/en-us/math/numbers/1002-in-roman-numerals

307 Learners

Last updated on August 5, 2025

Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman Numerals are used in royal titles, book names, sequences, and so on. Here we will be discussing Roman Numerals, rules, and examples.

What is 1002 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, often use Roman Numerals. Ever noticed those symbols and wondered what they represented? Those are Roman Numerals. Early humans counted using fingers, sticks, bones, etc. As life grew more complex, a standard form was needed to count.

Ancient Romans used the Roman Numeral system: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used to count. In Roman Numerals, we use MII to represent 1002, where M is 1000 and II is 2.

Let’s learn more about Roman Numerals and how we write them.

Basic Rules for 1002 in Roman Numerals

There are certain basic rules to write a number in Roman Numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman Numerals.

Rule 1: Addition Method

The addition method is used when the smaller number is placed after the larger number. For example, MII → M + I + I → 1000 + 1 + 1 = 1002

Rule 2: Repetition Method

To write a large number, there are certain Roman Numerals that can be repeated up to three times. For instance, II → 2.

Rule 3: Subtraction Method

If a smaller number is followed by a larger number in Roman Numerals, it is subtracted from the larger number. For example, IX → X - I → 10 - 1 = 9

Rule 4: Limitation Rule

The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X. Similarly, we write VIII for 8, not IIIIIIII.

How to Write 1002 in Roman Numerals

Let’s now learn how to write 1002 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

  • By Expansion Method
  • By Grouping Method

Explore Our Programs

1002 in Roman Numeral by Expansion Method

In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 1002 in Roman Numerals using the expansion method. To write 1002 in Roman Numerals, follow these steps:

Step 1: Break the number based on place values. Place values include ones, tens, hundreds, etc. For 1002, we write it as 1000 + 2

Step 2: Converting the number into Roman Numerals

  • 1000 in Roman Numerals - M
     
  • 2 in Roman Numerals - II

Step 3: Combine the Roman Numerals together. Therefore, 1002 in Roman Numerals is M (1000) + II (2) = MII

1002 in Roman Numeral by Grouping Method

When writing a large number into Roman Numerals, we group the numbers. To write 1002 in Roman Numerals, we group 1002 as 1000 + 2

  • 1000 in Roman Numerals - M
     
  • 2 in Roman Numerals - II

So, 1002 is written as MII in Roman Numerals.

Common Mistakes and How to Avoid Them in 1002 Roman Numerals

Students often make mistakes when writing a number in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and ways to avoid them.

Problem 1

A historian finds two ancient scrolls labeled DII and MII. Determine the total number of scrolls when combined.

Okay, lets begin

The total number of scrolls is MMIV.

Explanation

In Roman numerals, DII is 502 and MII is 1002. The sum of these numbers is 502 + 1002 = 1504. In Roman numerals, 1504 can be written as MDIV.

Well explained 👍

Problem 2

An architect designs a series of arches, each numbered with Roman numerals from D to MII. How many arches are there in total?

Okay, lets begin

There are DIII arches in total.

Explanation

To find the total number of arches, calculate the difference between the highest and lowest numbers and add one (since both endpoints are inclusive).

D = 500

MII = 1002

The total number of arches is 1002 - 500 + 1 = 503.

503 in Roman numerals is DIII.

Well explained 👍

Problem 3

A collector has CCXC unique coins and sold CCLX of them. How many coins does he have left?

Okay, lets begin

The collector has XXX coins left.

Explanation

Subtract the number of coins sold from the total number of coins to find how many are left.

CCXC = 290

CCLX = 260

290 - 260 = 30

30 in Roman numerals is XXX.

Well explained 👍

Problem 4

A treasure map shows two locations, one marked with the numeral M and the other with MII. What is the distance between the two locations?

Okay, lets begin

The distance between the two locations is II.

Explanation

Find the difference between the two Roman numeral values.

M = 1000

MII = 1002

1002 - 1000 = 2

2 in Roman numerals is II.

Well explained 👍

Problem 5

Write the Roman Numeral for 1002 + 48 using the expansion method.

Okay, lets begin

The Roman numeral for 1002 + 48 is MXLVIII.

Explanation

Step 1: Convert the numbers 1002 and 48 into Roman numerals. 1002 - MII 48 - XLVIII Add the numbers together: 1002 + 48 = 1050 Using the expansion method: 1050 = 1000 + 50 = M + L = ML Therefore, the Roman numeral for 1002 + 48 is MXLVIII.

Well explained 👍

FAQs on 1002 in Roman Numerals

1.What is 9 in Roman Numerals?

IX is 9, as it uses the subtraction method with smaller numbers following larger ones. That is X - I, which is 10 - 1 = 9.

2.How to write 1002 in Roman Numerals?

Since the larger numbers are followed by smaller, we use the addition method. That is M (1000) + II (2) = 1002. So, MII is 1002.

3.What is 16 in Roman Numerals?

16 in Roman Numerals is written as XVI.

4.Is MII a prime number?

No, MII is not a prime number because 1002 is divisible by 1, 2, 3, 6, etc.

5.What are the multiples of 11 related to 1002?

The multiples of 11 related to 1002 are 11, 22, 33, and so on. 1002 is also a multiple of 11 as 1002 ÷ 11 = 91.

Important Glossaries for 1002 in Roman Numerals

  • Addition rule: The addition method is used when a large number is followed by a smaller numeral, here the values are added. For example, MII = M + II = 1000 + 2 = 1002
     
  • Grouping method: Here, the given numbers are grouped based on their place values and then converted into Roman Numerals. For example, 1002 = 1000 + 2 = MII
     
  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent the number 3).
     
  • Subtraction rule: When a smaller numeral precedes a larger numeral, the smaller numeral is subtracted. For example, IX = X - I = 10 - 1 = 9.
     
  • Place value: In the Roman Numeral system, place value helps to break down numbers for easier conversion. For example, 1002 can be broken down into 1000 and 2, which are M and II, respectively.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.