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Class 8

Chapter 3: A Story of Numbers

Different cultures invented different number systems. Roman numerals (I, V, X, L, C, D, M) are non-positional. Our everyday system is positional with base 10 — the value of a digit depends on its place.

Learning outcomes

  • Trace how number systems evolved historically
  • Compare positional vs non-positional systems

Activities

  • Mini-poster on number systems

Worked examples

Read through these first, then try the practice below.

  1. Example 1 — Roman to decimal

    What number is XIV?

    Solution: X is 10, IV is 4 (5 − 1). XIV = 14.

  2. Example 2 — Place value

    In the number 4567, what is the place value of the digit 5?

    Solution: 5 is in the hundreds place: 5 × 100 = 500.

Self-do practice

Question 1 of 3 · Score 0/0

Convert XL to a decimal number.

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