4000 in Roman Numerals

4000 in Roman numerals is written as MMMM in the standard system. However, in the extended Roman number system, it can also be written as IV̅, where a bar over a numeral means to multiply it by 1000.

Roman numerals are an ancient number system that uses letters instead of digits. The letters used are I, V, X, L, C, D, and M. A large number is formed by repeating or combining these letters.

The number 4000 is special, as it is larger than the highest basic numeral, M (1000). So it can be written:

• MMMM = 1000 + 1000 + 1000 + 1000 = 4000

• Or IV̅ = (5 - 1) × 1000 = 4000

Here, we will learn to represent 4000 in Roman numerals, find out the related numerals, and solve examples for better understanding.

Table of Contents

• Definition
• How to Write 4000 in Roman Numerals?
• Roman Numeral Chart Around 4000
• Solved Examples
• Fun Facts
• Practice Questions
• FAQs on 4000 in Roman Numerals

Definition

In Roman numerals, 4000 is written as MMMM or IV̅.

• M = 1000

• MMMM = 1000 + 1000 + 1000 + 1000 = 4000

• In the overline system, IV̅ = (5 – 1) × 1000 = 4000

• Thus, both MMMM and IV̅ are valid representations of 4000 in Roman numerals.

How to Write 4000 in Roman Numerals?

Let's break it down step by step:

• First, break the number 4000 into simple form.

• 1000 + 1000 + 1000 + 1000

• Now, write the Roman numerals for these numbers.

• 1000 = M

• So, MMMM = 4000

Alternatively:

• 4000 = (5000 – 1000)

• 5000 = V̅ , 1000 = M

• So, 4000 = V̅ – M = IV̅ 

Roman Numerals Related to 4000

Here are some numerals close to 4000:

• 3990 = MMMCMXC

• 3999 = MMMCMXCIX

• 4000 = MMMM or IV̅

• 4001 = MMMMI

• 4005 = MMMMV

• 4010 = MMMMX

• 4500 = IV̅D

• 5000 = V̅

Roman Numeral Chart Around 4000

Solved Examples

Example 1: Write the sum of MM (2000) and MM (2000) in Roman numerals.

• MM = 2000

• 2000 + 2000 = 4000

• 4000 = MMMM in Roman numerals

Example 2: Disconnect CMXCIX (999) from MMMCMXCIX (3999).

• 3999 – 999 = 3000

• 3000 = MMM in Roman numerals

Example 3: Multiplied M (1000) by IV (4). Write results in Roman numerals.

• 1000 × 4 = 4000

• 4000 = MMMM / IV̅ in Roman numerals

Example 4: One stadium has 2000 chairs on one side and 2000 chairs on the other. How many chairs are there in general?

• 2000 + 2000 = 4000

• Roman Numeral = MMMM

Example 5: Divide VIII̅ (8000) by II (2).

• 8000 ÷ 2 = 4000

• Roman numerals = MMMM / IV̅ 

Fun Facts

• Roman numerals traditionally go up to 3999. To write the number like 4000, extended rules like an overline are used.

• MMMM is a simple repeated form, while IV̅ is a compact form.

• Ancient Romans rarely required such a large number, so extended digits were later used in history.

• Roman numerals are still used in watches, numbering pages, the Olympics, and historical names.

Practice Questions 

• Write 4000 in Roman numerals.

• Add MM (2000) + MM (2000). Express answers in Roman numerals.

• Subtract M (1000) from V̅ (5000). Write results in Roman numerals.

• Multiply XL (40) by C (100). Express results in Roman numerals.

• Write the next three numbers after 4,000 in Roman numerals.

FAQs on 4000 in Roman Numerals

1. What is 4000 in Roman numerals?

Answer: 4000 in Roman numerals is MMMM or IV̅.

2. Why are there 2 ways to write 4000 in Roman numerals?
Answer: MMMM is the standard repeated form, while IV̅ is the extended form using an overline, which means ×1000. 

3. What comes before 4000 in Roman numerals?

Answer: 3999 comes before 4000, and it is written as MMMCMXCIX.

4. What comes after 4000 in Roman numerals?

Answer: 4001 comes after 4000, written as MMMMI.

5. What is the Roman numeral for 5000?

Answer: 5000 in Roman numerals is written as V̅.

Explore more about Roman numerals and practice other math concepts with our free learning resources at Orchids The International School.