Smart Math guide · Advanced Math Ideas

Multiply in Scientific Notation

Multiply coefficients and add powers of ten, then normalize.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Multiply the leading numbers.
  2. Add exponents.
  3. Shift the decimal so the coefficient lies between 1 and 10.
Worked example

See it in action

(3×10⁴)(2×10⁻³)=6×10¹=60.

Check your thinking

How to verify it

Ordinary multiplication 30000×0.002=60.