120 in Roman Numerals

120 in Roman numerals is written as CXX. In this system, C means 100, and X means 10, so CXX means 100 + 10 + 10 = 120. Understanding how to read and write numbers in Roman numerals helps students connect mathematics. It also improves logical thinking by teaching them how values are combined to form larger numbers. The study of CXX is not only a mathematical skill but also a link to the past, which makes number study more interesting and meaningful in everyday life.

 

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How to Write 120 in Roman Numerals

120 in Roman Numerals


To write 120 in Roman numerals, we use the symbols that represent hundreds, tens, and units. The principal Roman numeral symbols are

Step-by-step:

  • C = 100

  • XX = 10 + 10 = 20

Now, add them together:

  • 100 + 20 = 120

Therefore, 120 in Roman numerals is CXX.

 

Basic Rules to Write 120 in Roman Numerals

To write 120 in Roman numerals, students should follow these simple rules based on the Roman numeral system:

1. Know the values:

  • I = 1

  • V = 5

  • X = 10

  • L = 50

  • C = 100

  • D = 500

  • M = 1000

2. Repeat letters to add values:

  • Letters I, X, and C can be repeated up to 3 times. For 120, we repeat X twice to make 20 (C + X + X = 120).

3. Write numerals in order from largest to smallest:

  • Write the largest numeral first. For 120, write CXX (C for 100, XX for 20).

4. Add the values when smaller numerals follow larger ones: 

  • When a smaller symbol follows a larger one, add their values. C (100) + X (10) + X (10) = 120.

5. No subtractive rules needed for 120:

  • Since 120 doesn’t require subtraction like IV (4) or IX (9), just add the numeral values.

Therefore, 120 in Roman numerals is CXX.

 

  • CXX = 100 + 20 = 120

  • CXXI = 100 + 20 + 1 = 121

  • CXXII = 100 + 20 + 2 = 122

  • CXXIII = 100 + 20 + 3 = 123

  • CXXIV = 100 + 20 + 4 = 124

  • CXXV = 100 + 20 + 5 = 125

  • CXXVI = 100 + 20 + 6 = 126

  • CXXVII = 100 + 20 + 7 = 127

  • CXXVIII = 100 + 20 + 8 = 128

  • CXXIX = 100 + 20 + 9 = 129

 

Solved Examples on Roman Numerals 120

Example 1: A store had C (100) items, and XX more were delivered. Express the total in Roman numerals.

Solution: 

100 + 20 = 120 = CXX

Therefore, 120 = CXX

 

Example 2: Add C (100) and XX (20). Write the total in Roman numerals.

Solution:

100 + 20 = 120 = CXX

Therefore, 120 = CXX

 

Example 3: Subtract XXX (30) from CL (150). Express the result in Roman numerals.

Solution:

150 - 30 = 120 = CXX

Therefore, 120 = CXX

 

Example 4: Combine and simplify: CX + X

Solution: 

110 + 10 = 120 = CXX

Therefore, 120 = CXX

 

Example 5: A library recorded C (100) books and later added XX more. Write the total in Roman numerals.

Solution: 

100 + 20 = 120 = CXX

Therefore, 120 = CXX

 

Facts About 120 in Roman Numerals

  • Roman Numeral: 120 is written as CXX (= 100 + 10 + 10)

  • Decomposition: C = 100, XX = 20; 100 + 20 = 120

  • No Subtraction Needed: 120 uses only additive notation.

  • Symbol Count: Two symbols appear, C and X (three characters total).

  • Number Property: 120 is a composite number and a highly composite number (it has 16 divisors).

 

Practice Questions on 120 in Roman Numerals

  1. How do you write the number 120 using Roman numerals?

  2. What are the Roman numerals for 118, 119, 121, and 122?

  3. Convert the Roman numeral CXX into the regular decimal number.

  4. Calculate CXX + V and write your answer in Roman numerals.

  5. Add C and XX together and express the total as a Roman numeral.

 

Conclusion

120 in Roman numerals is written as CXX. It is formed by combining C (100) and two X's (10 + 10), representing 100 + 10 + 10. This simple breakdown helps students understand how Roman numerals are formed by adding the values of symbols, making it easier to read, write, and comprehend numbers in this ancient system.

Discover more articles on 120 in Roman numerals CXX and related Maths concepts on Orchids The International School for simplified explanations and structured learning.

Frequently Asked Questions on 120 in Roman Numerals

1. What is 120 in Roman numerals?

Answer: 120 in Roman numerals is written as CXX.

2. How is 120 converted to Roman numerals?

Answer: 

Break 120 into parts:

  • 100 = C

  • 20 = XX

Now add them:

  • C + XX = CXX
  • So, 120 = CXX

Therefore, 120 in Roman numerals is CXX.

 

3. What is the value of (240 - 120) in Roman numbers?

Answer:

  • 240 - 120 = 120

  • 120 = CXX

4. What Should Be Added to 109 to Get 120? Write the answer in Roman numerals.

Answer:

  • 109 + 11 = 120

Now convert 120 to Roman numerals:

120 = CXX

Therefore, 120 in Roman numerals is CXX.

5. How do you write other numbers around 120 in Roman numerals?

Answer:

  • CXX = 100 + 20 = 120
  • CXXI = 100 + 20 + 1 = 121
  • CXXII = 100 + 20 + 2 = 122
  • CXXIII = 100 + 20 + 3 = 123
  • CXXIV = 100 + 20 + 4 = 124
  • CXXV = 100 + 20 + 5 = 125
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