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Standard Form

Units and Fractions Standard Form

🎬 Video Tutorial

(0:01) Standard Form (scientific notation): Expresses large or small numbers in the format $a \times 10^n$, where $a$ is between 1 and 10. This simplifies calculations with extreme values.
(0:18) Converting to Standard Form: Move the decimal point to make a number between 1 and 10. For example, 26,000 becomes $2.6 \times 10^4$ by moving the decimal 4 places.
(1:40) Multiplying Numbers in Standard Form: Multiply the coefficients and add the exponents. For instance, $(2 \times 10^7) \times (8 \times 10^{-12})$ simplifies to $16 \times 10^{-5}$. But be careful, you need to adjust the result to be $1.6 \times 10^{-4}$.

📂 Revision Cards

Standard form explained as a method of expressing large or small numbers in the form A × 10?. Example converting 26,000 to standard form as 2.6 × 10?. — 1) Standard Form

Explanation of how to convert 0.007 to standard form, showing the calculation as 7 × 10?³ with the decimal shifted three places to the right. — 2) 0.007 to standard form

Illustration explaining standard form, showing 384,000 converted to 3.84 × 10?, with visual of moving the decimal point five places to the left. — 3) 384000 to standard form

Calculation in standard form showing the multiplication of 2 × 10? × 8 × 10?¹² step by step, and simplifying to 1.6 × 10??. — 4) Calculating with Standard Form

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