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

Video Lesson

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Flashcards

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Standard form explained as a method of expressing large or small numbers in the form A times ten to the power of n.How to convert 0.007 to standard form, showing seven times ten to the power of negative three with the decimal shifted three places to the right.Illustration explaining standard form, showing 384,000 converted to three point eight four times ten to the power of five.Showing the multiplication of two times ten to the power of seven, multiplied by eight times ten to the power of negative twelve step by step.Multiplying 3 × 10^-5 by 40,000,000 and converting to standard form as 1.2 × 10^3 using index laws.

🛎️ What Is Standard Form?

  • 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

🛎️ Checking Your 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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