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

DifficultyAll Level 1 Level 3 Level 4

1
Write $3000$ in standard form.
Level 1 · 1 markTry it
2
Write $5.6 \times 10^2$ as an ordinary number.
Level 1 · 1 markTry it
3
(a) Write 45 000 000 in standard form.

(b) Write 0.00062 in standard form.

(c) Write $3.08 \times 10^5$ as an ordinary number.
Level 3 · 3 marksTry it
4
Write these numbers in order of size, starting with the smallest:

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

(b) Write $0.000058$ in standard form.
Level 3 · 2 marksTry it

7 more questions on writing numbers in standard form

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