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Lattice, or sieve, multiplication is algorithmically equivalent to long multiplication. It requires the preparation of a lattice (a grid drawn on paper) which guides the calculation and separates all the multiplications from the [[addition]]s. It was introduced to Europe in 1202 in [[Fibonacci]]'s [[Liber Abaci]]. Leonardo described the operation as mental, using his right and left hands to carry the intermediate calculations. [[Matrakçı Nasuh]] presented 6 different variants of this method in this 16th-century book, Umdet-ul Hisab. It was widely used in [[Enderun]] schools across the Ottoman Empire.<ref>Corlu, M. S., Burlbaw, L. M., Capraro, R. M., Corlu, M. A.,& Han, S. (2010). The Ottoman Palace School Enderun and The Man with Multiple Talents, Matrakçı Nasuh. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education. 14(1), pp. 19–31.</ref> [[Napier's bones]], or [[Napier's rods]] also used this method, as published by Napier in 1617, the year of his death.
As shown in the example, the multiplicand and multiplier are written above and to the right of a lattice, or a sieve. It is found in [[Muhammad ibn Musa al-Khwarizmi]]'s "Arithmetic", one of Leonardo's sources mentioned by Sigler, author of "Fibonacci's Liber Abaci", 2002.{{citation needed|date=January 2016}}
*During the multiplication phase, the lattice is filled in with two-digit products of the corresponding digits labeling each row and column: the tens digit goes in the top-left corner.
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