Smart Math guide · Number Sense

Decompose by Place Value

Break numbers into hundreds, tens, ones, tenths, and so on to expose structure.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Write each number as a sum of place values.
  2. Operate on the parts.
  3. Recombine.
Worked example

See it in action

347 + 286 = (300+200)+(40+80)+(7+6)=500+120+13=633.

Check your thinking

How to verify it

Column addition gives the same total.