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Standard Form

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Worked diagram showing 64800000 changing to 6.48 times 10^7 and 0.000731 changing to 7.31 times 10^{-4}, with decimal moves labelled

Standard form writes a number as a×10na \times 10^na×10n. The coefficient aaa must satisfy 1≤a<101 \le a < 101≤a<10, and nnn must be an integer, so it can be positive, negative, or zero.

Positive exponents make numbers larger and negative exponents make numbers smaller. The exponent tells you how many places the decimal point has moved.

4.6×1084.6 \times 10^84.6×108 is in standard form, but 46×10746 \times 10^746×107 is not because the coefficient is too big. 0.48×1050.48 \times 10^50.48×105 is not finished either, and it should be rewritten as 4.8×1044.8 \times 10^44.8×104.

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Question 1

2 marks

Write 1.2 × 105 as an ordinary number.

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What are the two requirements for a number to be in standard form (a×10na \times 10^na×10n)?

Standard Form Revision Guide

  1. GCSE
  2. /Maths
  3. /Standard Form

Revision notes for Edexcel GCSE Maths Standard Form. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 5

Write 0.000560.000560.00056 in standard form.