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This video shows a visualisation on counting.
Every column of boxes represents a digit of a nonnegative integer (0, 1, 2, 3, …). Before increasing from one integer to the next, the changes to be made are shown. Blue boxes will appear, yellow boxes will go.

For lots of examples of multiplying two numbers with steps see https://www.youtube.com/watch?v=d4HSNwDU14o

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