Mathematics — Numeral Systems · Roman numeral converter and matching activity

Legion of Numbers

Convert between Hindu-Arabic numbers and Roman numerals by using place value and subtractive notation.

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📝 Description

Legion of Numbers is an interactive mathematics game designed to make number practice more engaging. Students work with number-based challenges that support calculation, pattern recognition, reasoning, and confidence. It is suitable for classroom practice and self-learning.

📋 Instructions

Follow the in-game instructions, complete the number challenges, and take the quiz to check your understanding.

🎓 Learning Guide: Legion of Numbers

Learning focus: Convert between Hindu-Arabic numbers and Roman numerals by using place value and subtractive notation.

Mathematics — Numeral Systems Roman numeral converter and matching activity

Learning objectives

  • Recognise standard symbols I, V, X, L, C, D and M
  • Interpret combinations such as IV and IX
  • Check whether a proposed numeral follows standard notation for the chosen range

Concepts and principles

  • Roman numerals combine additive and, for certain pairs, subtractive notation.
  • IV represents 4 and IX represents 9; VII represents 7.
  • Roman numerals are not a positional base-ten system with a zero digit like standard decimal numerals.

Examples and worked solutions

Independent teaching example (not verified as an in-game prompt): Convert 49 into conventional Roman numerals.
Worked solution: 49=40+9; XL represents 40 and IX represents 9, giving XLIX.

Guided practice

  1. Choose a supported number range in the activity
  2. Write the expected Roman or decimal form before revealing/matching
  3. Explain each subtraction pair in your answer

Expected observations and explanations

  • IV is standard for 4, not the nonstandard form IIII in typical educational notation.
  • Repetition and subtraction follow restrictions; not every symbol ordering is valid.

Assessment questions and answers

What does XC represent?
Answer: 90.
Convert XII to decimal.
Answer: X(10)+I(1)+I(1)=12.

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