GCSE · Standard form

Writing numbers in standard formExam-style questions

Why standard form fixes exactly one non-zero digit before the point, what the power of 10 really counts, why negative powers mean small (not negative), and how to compare sizes at a glance.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 3Level 4
  1. 1
    Write 45×10645 \times 10^6 in standard form.
    Level 4 · 1 markTry it
  2. 2
    (a) Write 0.00306 in standard form.

    (b) Explain why 30.6×10−430.6 \times 10^{-4} is not standard form, even though it equals 0.00306.
    Level 4 · 2 marksTry it
  3. 3
    p=8×105p = 8 \times 10^5. Write 2p2p in standard form.
    Level 4 · 2 marksTry it
  4. 4
    Write 0.35×1050.35 \times 10^5 in standard form.
    Level 4 · 2 marksTry it
  5. 5
    Write these numbers in order of size, starting with the smallest.

    3.4×10−25.1×10−32.9×10−28×10−33.4 \times 10^{-2} \qquad 5.1 \times 10^{-3} \qquad 2.9 \times 10^{-2} \qquad 8 \times 10^{-3}
    Level 4 · 2 marksTry it

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