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Using your times tables knowledge for small single-digit multiplication equations is great. When you are asked to multiply any two, three or four-digit number by multiples of ten, or any two-digit ...
The standard method for two and three digit multiplication is delayed until fifth grade; the standard method for long division until sixth.
To help you understand the algorithm, the video shows a simple two-digit by two-digit multiplication. You can see that the first and last digits are essentially the result of one multiplication.