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Multiplication Table in Scale

Use the canvas here and fill in the missing parts of the multiplication table below. Use Number Tiles or copy the existing tiles.

https://mathigon.org/polypad/uJHOte6gB5FDWQ
  • What patterns do you see in the multiplication table?
  • What methods & strategies did you use to create the missing shapes?
  • Which shapes are squares and which are rectangles?

The oldest known multiplication tables were used by the Babylonians about 4000 years ago. However, they used a base of 60. The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC. This multiplication table shows is another way to represent multiplication.

Extension

Find the total number of squares in the multiplication table.

https://mathigon.org/polypad/0tRKh57K40pXA