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Numbers Beyond Imagination
Numbers Beyond Imagination
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.
What is Standard Form?: A number written as a × 10ⁿ
Where:
• 1 ≤ a < 10 (at least 1, less than 10)
• n is an integer (whole number)
Example: 3.5 × 10⁴
Mathematics glossary
- What is Standard Form?
- A number written as a × 10ⁿ Where: • 1 ≤ a < 10 (at least 1, less than 10) • n is an integer (whole number) Example: 3.5 × 10⁴
Earn the mark scheme marks
Common Mistakes to Avoid
❌ Wrong: 45 × 10³
✅ Right: 4.5 × 10⁴
The first number must be between 1 and 10
❌ Wrong: 0.5 × 10⁴
✅ Right: 5 × 10³
0.5 is less than 1 - not valid standard form
❌ Wrong: 3.2 × 10⁻³ = 3200
✅ Right: 3.2 × 10⁻³ = 0.0032
Negative power means small number
❌ Wrong: Counting decimal places
✅ Right: Count how far decimal moves
Focus on decimal point movement, not places
Now try it yourself
Quiz · Question 1 of 14
Which of these numbers is written in standard form?
Tap an answer to check it
This topic in real past papers
Every real exam question we've found on standard form, with a full worked answer.