Times table" redirects here. For a table of departure and arrival times, see Timetable (disambiguation). Multiplication table from 1 to 10 drawn to scale with the upper-right half labeled with prime factorisations A modern representation of the Warring States decimal multiplication table used to calculate 12 × 34.5 Standards-based mathematics reform in the US [ edit ] There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below: Mokkan discovered at Heijō Palace suggest that the multiplication table may have been introduced to Japan through Chinese mathematical treatises such as the Sunzi Suanjing, because their expression of the multiplication table share the character 如 in products less than ten. [8] Chinese and Japanese share a similar system of eighty-one short, easily memorable sentences taught to students to help them learn the multiplication table up to 9 × 9. In current usage, the sentences that express products less than ten include an additional particle in both languages. In the case of modern Chinese, this is 得 ( dé); and in Japanese, this is が ( ga). This is useful for those who practice calculation with a suanpan or a soroban, because the sentences remind them to shift one column to the right when inputting a product that does not begin with a tens digit. In particular, the Japanese multiplication table uses non-standard pronunciations for numbers in some specific instances (such as the replacement of san roku with saburoku).

This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina, [ citation needed] instead of the modern grids above.David E. Smith (1958), History of Mathematics, Volume I: General Survey of the History of Elementary Mathematics. New York: Dover Publications (a reprint of the 1951 publication), ISBN 0-486-20429-4, pp. 58, 129.

a b c Qiu, Jane (January 7, 2014). "Ancient times table hidden in Chinese bamboo strips". Nature News. doi: 10.1038/nature.2014.14482. S2CID 130132289. David W. Maher and John F. Makowski. "Literary evidence for Roman arithmetic with fractions". Classical Philology, 96/4 (October 2001), p. 383. The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14. After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.

Table du 6

Cycles of the unit digit of multiples of integers ending in 1, 3, 7 and 9 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad Do you want to practice more math? Go to Mathdiploma.com - Here you can practice addition, subtraction, multiplying, dividing and a lot more! Tes parents ont un iPhone? Alors tu vas pouvoir apprendre les tables de multiplication sur mobile. Avec ces flashcards en ligne c'est plus facile d'apprendre les tables de multiplication. Pour tous ceux qui ont un Iphone, un Ipad... un smartphone, bref un téléphone portable. When you finished the 5 steps you can play the memory game or exercise with the worksheet. Other way to train more are with the tempo test, the 1 minute test or to play the times tables games.

Tables can also define binary operations on groups, fields, rings, and other algebraic systems. In such contexts they are called Cayley tables. Here are the addition and multiplication tables for the finite field Z 5:

Practice your multiplication tables

The 10 times table is one of the easiest to learn. For a start, numbers in the 10 times table always end in a 0. And then the 5 and the 2 multiplication tables are also one of the easiest. Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit. Leslie, John (1820). The Philosophy of Arithmetic; Exhibiting a Progressive View of the Theory and Practice of Calculation, with Tables for the Multiplication of Numbers as Far as One Thousand. Edinburgh: Abernethy & Walker. The illustration below shows a table up to 12 × 12, which is a size commonly used nowadays in English-world schools.