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Multiplication table from 1 to 10 drawn to scale with the upper-right half labeled with prime factorisations In mathematics , a multiplication table (sometimes, less formally, a times table ) is a mathematical table used to define a multiplication operation for an algebraic system.
From history, the multiplication table is invented 2700 years ago. In 2006, I found my daughter has gift on drawing rather than math. So, I spent first 2 years to make the chart as below. Then, it was not so clear if we don't have zero for 9x9 table. Another 5 years spent and more than 100 children taught to come out 9x10 charts.
The group {1, −1} above and the cyclic group of order 3 under ordinary multiplication are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this. In contrast, the smallest non-abelian group, the dihedral group of order 6 , does not have a symmetric Cayley table.
so 3 × 17 = 30 + 21 = 51. This is the "grid" or "boxes" structure which gives the multiplication method its name. Faced with a slightly larger multiplication, such as 34 × 13, pupils may initially be encouraged to also break this into tens. So, expanding 34 as 10 + 10 + 10 + 4 and 13 as 10 + 3, the product 34 × 13 might be represented:
To force the template to display the input as text, and forgo the automatic delimitation and the recognition of the hyphen as a minus sign, write 1.2{{x10^|−42342|text}}, which will display 1.2 × 10 −42342 instead of 1.2 × 10 −42 342.
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