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Standard Form

Year 8 🔢 Number Write very large and very small numbers in standard form.

Standard form (scientific notation) writes very large or small numbers as $a \times 10^n$ where $1 \leq a < 10$.

Standard Form

$$a \times 10^n, \quad 1 \leq a < 10, \quad n \in \mathbb{Z}$$

Large: 45,000 = 4.5 × 10⁴
Small: 0.0032 = 3.2 × 10⁻³

Write the number with the decimal after the first non-zero digit

Count how many places the decimal moved → that is the power of 10

Moved right = positive power. Moved left = negative power

🎯 Ready to test yourself? Click the Quiz tab above to answer questions on this topic!

🎬 Interactive Demonstration — Standard Form

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Interactive demonstration available in the Calculator tab!

🧮 🔬 Standard Form Converter

Ordinary Number → Standard Form

Coefficient (a)

Power (n in 10ⁿ)