Multiplication table

A multiplication table posts in the lines and columns the result of the small Multiplication natural integers.

The system of decimal Notation of position allows to carry out the multiplication of two unspecified numbers using only knowledge of the products of the numbers from 0 to 9 between them. It is with the elementary school that the training of the tables is carried out which recapitulate all these products. The tradition a long time required the knowledge of multiplication tables carrying up to 12 or 13 instead of 9.

One can design tables for the calculation of products in bases other than 10. Thus a multiplication table for the octal system (bases 8) will contain the product of the numbers from 0 to 7, expressed bases 8 of them. One can also carry out tables for all Law of composition, such as for example for the law produces on a Groupe finished.

Usual table

The usual multiplication table is the following one, one calls it also Table of Pythagore:

How to use the multiplication table?

To know the product 5×7, to take the number with the intersection of column 5 and line 7. The result read will be 35.

How is the multiplication table manufactured?

The multiples (columns and lines) of zero are zero.
Each box can be filled starting from the box of the top or left, by adding the value of the column or the line.

Properties.

  • the table has a symmetry along one of the diagonals.
    • This diagonal contains the perfect square .
  • Each product odd is surrounded by 8 even products .

A mobile alternative

See also: Sticks of Napier

The Scottish mathematician John Napier published in 1617 a work entitled Rhabdologie in which it describes a process to simplify calculations of products and quotients, bearing the name of Bâtons of Napier. It is simply about an astute presentation of the multiplication table, in which the columns are related to mobile small rules.

Related subjects

  • Table of Technical addition

  • Multiplication
  • of multiplication
  • mental Calculation

Easy way for the table of 9

To have the results without reflecting

  • Ecrire the figure from 0 to 8 from top to bottom

  • has side to write the figure from 1 to 9 on the basis of bottom

What gives:

09
18
27
36
45
54
63
72
81

This easy way will allow you thanks to a pencil and a sheet to find any figure of the table of 9.

Here another easy way:

If you have 10 fingers out of your 2 hands you can read the result of the table of the 9:

  1. Posez your hands on your knees
  2. hope your fingers since the auricular one of the left hand to the figure to multiply by 9.
  3. Pliez this last finger
Result: tens are the fingers which remain on the left folded finger and the units are on the left folded finger.

Another easy way without paper nor pencil:

To multiply a number of 1 figure by 9, 1 with this number, you remove obtain the figure of tens of the result. The figure of the units is the nines complement of the number which you have just obtained, since the sum of the figures composing the result of a number multiplied by 9 is always equal to 9.

Example: 6 X 9 I remove 1 to 6, I obtain the figure of tens, that is to say 5. 5 + 4 = 9; thus the figure of the units is 4. I obtain 54.

External bond

  • To learn the multiplication tables on www.cmath.fr

  • On www.pour-enfants.fr, to learn or revise the multiplication tables on line.

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