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The real number system

Sort numbers into natural numbers, integers, rationals and irrationals, and see how these sets fit together inside the real numbers.

⏱ 18 min❓ 10 questions

What you'll be able to do

  • ✔I can classify a number as natural, integer, rational or irrational
  • ✔I can explain how the sets of numbers sit inside one another in the real number system
  • ✔I can convert a recurring decimal to a fraction to prove it is rational

How this works

  1. 1Read the short explanations first — they teach you what you need before each question.
  2. 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
  3. 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

10 questions and 1 quick teaching card, including:

  • 🔘Multiple choice — Tap the answer you think is best, then check it.
  • ✅Select all that apply — More than one can be right — pick every option that fits.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

Sign in and subscribe to unlock the full lesson and save your progress.

Curriculum: AC9M9N01