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Long Multiplication:

A tool to model what's happening; using partial product/distributive law to build understanding.

Age: 8+
Learning Objectives:

Year 5: to multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers.

Year 6: to multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication.

Instructions:
  1. Choose between 2,3 and 4 digit numbers for the multiplicand using the light blue square grids, (top left).
  2. All of the multipliers are 2 digit numbers.
  3. Use the tick / check box to choose your chosen method: partial product or formal written method. (This won't change the calculation so you can do it both ways.)
  4. Notice where the colours match between the written method and the area model.
  5. Calculate each line/cell revealing the answers as you go.
  6. Clicking on the model reveals each partial product.
  7. "Carrying" is not automatic. The products will be correct but the user must drag on the carrying numbers where needed.
  8. The product at the end can be revealed one digit at a time.
  9. The area model is designed to be similar to one we might draw on paper. It is not to scale. I have tried to keep some sense of scale for understanding.

Have fun!

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