Teacher2Teacher 
Q&A #17351 
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From: julius nadas <jnadas@ccc.edu> To: Teacher2Teacher Public Discussion Date: 2007112422:30:43 Subject: bow tie multiplication I believe that the bowtie method was used back in Abraham Lincoln's day and is just a graphic way of showing the FOIL method for multiplying any pair of two digit numbers. I hope this comes out OK in your browser: take 23 times 45. In foil you add these terms: 20x40 + 20x5 + 3x40 + 3x5 in bowtie you draw this picture: 20 + 3 \ /  \ /   X   / \  / \ 40 + 5 (see the bow tie) and you multiply the numbers that are connected by lines.
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