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NUM006 · Numbers & number systems · Classes 6–12

Number Systems

Number sets nest inside one another: ℕ ⊂ 𝕎 ⊂ ℤ ⊂ ℚ ⊂ ℝ ⊂ ℂ.

📐 Formula

Natural 1, 2, 3 …; whole adds 0; integers add negatives; rationals p/q; reals add irrationals (√2, π); complex add i

✏️ Worked example

−5 is an integer but not a whole number; √2 is real but not rational.

🌍 Where it is used

Every measurement, account balance and calculation uses them.

❓ Quick check

Which is irrational?