Standard Form

Learn what standard form is and how to write and calculate with numbers in standard form. Let's get started! 🚀

Standard Form - introduction visual

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Standard Form poster

Flashcards

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Standard form explained as a method of expressing large or small numbers in the form A × 10ⁿ.Converting 0.007 to standard form: 7 × 10⁻³ by moving the decimal three places rightConverting 384,000 to standard form: 3.84 × 10⁵ by moving the decimal five places leftMultiplying in standard form: (2 × 10⁷) × (8 × 10⁻¹²) worked step by stepCalculating in standard form: 3 × 10⁻⁵ × 40,000,000 = (3 × 4) × 10⁻⁵⁺⁷ = 12 × 10² = 1.2 × 10³

🛎️ What Is Standard Form (Scientific Notation)?

  • A way to write very large or very small numbers so they are easier to work with.
  • It always looks like A × 10ⁿ, where A is between 1 and 10

🛎️ How to Rewrite a Number into Standard Form?

  • Move the decimal point so the number at the front is between 1 and 10.
  • The number of places you move tells you the power of 10.

🛎️ How the Power of 10 Works?

  • Decimal moved left → positive power (e.g. 384000 → 3.84 × 10⁵)
  • Decimal moved right → negative power (e.g. 0.007 → 7 × 10⁻³)

🛎️ How to Multiply in Standard Form?

  • Multiply the front numbers as normal.
  • Add the powers of 10: 10⁷ × 10⁻¹² = 10⁻⁵

🛎️ How Do We Check a Standard Form Answer?

  • The front number must be between 1 and 10.
  • If not, move the decimal and adjust the power (e.g. 12 × 10³ → 1.2 × 10⁴)

Practice Questions

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Interactive Activity

Standard form (scientific notation)

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