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Reference.org
Grid method multiplication
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<p>The grid method (also known as the box method or matrix method) of multiplication is an introductory approach to multi-digit multiplication calculations that involve numbers larger than ten. Because it is often taught in <a href="/facts/Mathematics_education/6hXltmmF">mathematics education</a> at the level of <a href="/facts/Primary_school/cIoH1x09">primary school</a> or <a href="/facts/Elementary_school/cIoH1x09">elementary school</a>, this algorithm is sometimes called the grammar school method. </p><p>Compared to traditional <a href="/facts/Long_multiplication/68xf6EdK">long multiplication</a>, the grid method differs in clearly breaking the multiplication and addition into two steps, and in being less dependent on place value. </p><p>Whilst less <i>efficient</i> than the traditional method, grid multiplication is considered to be more <i>reliable</i>, in that children are less likely to make mistakes. Most pupils will go on to learn the traditional method, once they are comfortable with the grid method; but knowledge of the grid method remains a useful "fall back", in the event of confusion. It is also argued that since anyone doing a lot of multiplication would nowadays use a pocket calculator, efficiency for its own sake is less important; equally, since this means that most children will use the multiplication algorithm less often, it is useful for them to become familiar with a more explicit (and hence more memorable) method. </p><p>Use of the grid method has been standard in mathematics education in primary schools in <a href="/facts/England_and_Wales/nRu8tsxR">England and Wales</a> since the introduction of a <a href="/facts/National_Numeracy_Strategy/dcDXWUDy">National Numeracy Strategy</a> with its "numeracy hour" in the 1990s. It can also be found included in various curricula elsewhere. Essentially the same calculation approach, but not with the explicit grid arrangement, is also known as the partial products algorithm or partial products method. </p>