Multiplication using the grid method
Rest assured that short and long multiplication haven't disappeared - they're still quick, reliable and useful methods for multiplying. What's new is that your child will probably learn to multiply using the 'grid method' before being introduced to short and long multiplication.
Multiplication using grids
A tricky multiplication such as 13 x 8 can always be split up to make it easier:
13 x 8 = 104
and splitting it up
13 x 8 = ( 10 x 8 ) + ( 3 x 8 ) = ( 80 ) + ( 24 ) = 104
The fancy name for "splitting it up" is "the distributive law" and it's the basis for all methods for multiplication past and present.
In a grid the same multiplication looks like this:
This video shows both the grid method and traditional short multiplication:
And here's a video showing the grid method for long multiplication.
The silly thing is that mathematically the grid method and traditional multiplication methods are doing exactly the same thing - it's just the distributive law.
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