EXP012 · Powers, exponents & logarithms · Classes 8–10
Scientific Notation
Scientific notation writes a number as m × 10ᵉ with 1 ≤ m < 10, so very large and very small numbers are easy to read and compare.
3×10⁸Scientific Notation
📐 Formula
N = m × 10ᵉ, 1 ≤ m < 10
✏️ Worked example
Speed of light ≈ 3 × 10⁸ m/s = 300 000 000 m/s.
🌍 Where it is used
Astronomy, chemistry (atoms), and calculator displays.
❓ Quick check
Write 0.0045 in scientific notation.
🏋️ Practice
EasyWrite 5000 in scientific notation.
Answer: 5 × 10³
MediumWrite 2.1 × 10⁻⁴ as a decimal.
Answer: 0.00021
Challenge(3 × 10⁴) × (2 × 10⁵) = ?
Answer: 6 × 10⁹