Module 9 · Powers of 10 and scientific notation · Lesson 38 of 39

Multiplying and dividing in scientific notation

Work with the decimal parts and the powers of 10 separately.

In this lesson · about 14 minutes

  • Multiply in scientific notation
  • Divide in scientific notation
  • Adjust the result back into scientific notation

Multiply: multiply the decimal parts and add the exponents. Divide: divide the decimal parts and subtract the exponents. If the new decimal part isn't between 1 and 10, move its point and adjust the power.

Worked example

(3.4 × 10⁻⁶)(2.14 × 10¹³)

Multiply the decimals, then the powers of 10.

    Step 0 of 2

    Worked example

    (3.4 × 10⁻⁶) ÷ (2.14 × 10¹³)

    Divide the decimals, then the powers of 10.

      Step 0 of 2

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