From the history
The first mention of the multiplication table known since 1-2 centuries. She was depicted in the format of ten in the book Nicomache Geraskova "Introduction to arithmetic". It was also shown that the image of the table around 570 BC Pythagoras used. The table of Pythagoras, numbers were recorded in the Ionian numbering. There used to be twenty-four letters of the Greek alphabet and three archaic letters of the Phoenicians 6=90=Kopp, 900=Sampi. To distinguish numbers from letters on numbers were performed, the horizontal line.
The Greek entry of decimal numbers and the modern model of the multiplication table are significantly different from each other. The differences can be attributed to the use and misuse of zero. Numbers-the letters from 1 to 9 are used to indicate full dozen full hundreds full thousands. They are referred to private letters.
In ancient times the people had signs of sum and difference. If a pair of numbers, letters, the left number was larger, they evolved, and if more had the right number, then he subtracted the left.
Introduction to the everyday life of the people of the multiplication table contributed to the progress of oral and written accounts. Previously, there were a variety of clever methods of calculation works in the single digits. They have slowed down the process, and they committed a lot of computing errors.
In Russian schools the multiplication table comes to 10X10. Schools in the UK multiplication table 12X12 ends. This is due to the English units of measures of length. One foot equals twelve inches.
In the Soviet Union pupils of the first class asked for the summer to teach the multiplication table. Second grade math reinforcing knowledge of the multiplication table. Now in Russia the study of the multiplication table usually begins in the second grade.
The use of multiplication tables
The primary use of the multiplication table is to develop the practical skills of multiplication of natural numbers. But this is not its only use. Also used the multiplication table for some mathematical proofs. For example, for the derivation of the sum of cubes of natural numbers or obtain similar expressions for the sums of squares.
Who invented the multiplication table?
Multiplication table has its second name by the name of its Creator – the table of Pythagoras. It was known since ancient times. Pythagoras portrayed her almost in the same form, which has the modern model of the multiplication table on the covers of school notebooks.