GCSE · Standard form

Standard form in contextExam-style questions

How standard-form arithmetic solves real scale problems — distances, masses, populations — and why unit conversion has to happen before the powers of ten can do their work.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    The population of a city is 2.4×1062.4 \times 10^6. Write this as an ordinary number.
    Level 1 · 1 markTry it
  2. 2
    A grain of sand has mass 0.00040.0004 g. Write this mass in standard form.
    Level 1 · 1 markTry it
  3. 3
    Which is larger, 3.2×1043.2 \times 10^4 or 9.8×1039.8 \times 10^3? Explain how you know.
    Level 1 · 1 markTry it
  4. 4
    Write these in order of size, smallest first: 5×1032×1048×102\quad 5 \times 10^3 \qquad 2 \times 10^4 \qquad 8 \times 10^2
    Level 1 · 1 markTry it