Smart Math guide · Number Sense

Think in Orders of Magnitude

Scientific notation helps compare very large or very small quantities by separating scale from detail.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Write each quantity as a×10ⁿ with 1≤|a|<10.
  2. Compare exponents first.
  3. Compare coefficients only when exponents match.
Worked example

See it in action

3.2×10⁶ is about ten times 3.2×10⁵.

Check your thinking

How to verify it

Move the decimal six places to verify 3,200,000.