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The triangle in the bottom left of the table is always blank. The following diagram shows the multiplication table for the simple 7: Napier's Promptuary: multiple diagram for digit 7. Complete number strips for the simple 7 and the simple 2 are shown in the following diagram. The lines delineating the triangles have been omitted.
The oldest known multiplication tables were used by the Babylonians about 4000 years ago. [2] However, they used a base of 60. [2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period. [2] "Table of Pythagoras" on Napier's bones [3]
Multiplication of numbers 0–10. Line labels = multiplicand. X axis = multiplier. Y axis = product. Extension of this pattern into other quadrants gives the reason why a negative number times a negative number yields a positive number.
Of the 106 playable tiles, there are seven each of the numbers 1 through 10, one 0, one each of the numbers 11 through 20, and one each of every number between 20 and 99 that can be represented as a multiplication of two numbers between 1 and 10 (for example, 21, 24, 25).
Using scientific notation, a number is decomposed into the product of a number between 1 and 10, called the significand, and 10 raised to some integer power, called the exponent. The significand consists of the significant digits of the number, and is written as a leading digit 1–9 followed by a decimal point and a sequence of digits 0–9.
The predecessor of a natural number (excluding zero) is the previous natural number and is the result of subtracting one from that number. For example, the successor of zero is one, and the predecessor of eleven is ten ( 0 + 1 = 1 {\displaystyle 0+1=1} and 11 − 1 = 10 {\displaystyle 11-1=10} ).