The distance to the nearest star is 40,000,000,000,000 km. The width of a virus is 0.000000020 metres. Writing these numbers is unwieldy and error-prone. Standard form (scientific notation) gives us a powerful way to express very large and very small numbers clearly. From astronomers measuring galaxies to biologists studying cells, standard form is the universal language of scale.
This introduction covers Numbers Beyond Imagination within Standard Form for GCSE Mathematics. Revise Standard Form in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 1 of 15 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for Standard Form
Which of these numbers is written in standard form?
Explain why standard form is useful for writing very large or very small numbers.
Quick recall flashcards
What is Standard Form?
A number written as a Ć 10āæ
Where:
ā¢ 1 ā¤ a < 10 (at least 1, less than 10)
ā¢ n is an integer (whole number)
Example: 3.5 Ć 10ā“
Converting TO Standard Form
1. Move decimal to make 1 ā¤ a < 10
2. Count places moved
3. Large (left) ā positive power
4. Small (right) ā negative power
780,000 ā 7.8 Ć 10āµ