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
    (a) Write 45 000 000 in standard form.

    (b) Write 0.00062 in standard form.

    (c) Write 3.08×1053.08 \times 10^5 as an ordinary number.
    Level 3 · 3 marksTry it
  2. 2
    Write these numbers in order of size, starting with the smallest:

    9.8×1031.2×1054.5×1042.1×1039.8 \times 10^3 \qquad 1.2 \times 10^5 \qquad 4.5 \times 10^4 \qquad 2.1 \times 10^3
    Level 3 · 2 marksTry it
  3. 3
    (a) Write 7 200 0007\,200\,000 in standard form.

    (b) Write 0.0000580.000058 in standard form.
    Level 3 · 2 marksTry it
  4. 4
    (a) Write 6.04×10−36.04 \times 10^{-3} as an ordinary number.

    (b) Write 2.5×1042.5 \times 10^4 as an ordinary number.
    Level 3 · 2 marksTry it