Current location - Training Enrollment Network - Mathematics courses - What is the counting principle of scientific counting method?
What is the counting principle of scientific counting method?
The number A × 10 N is used in scientific notation, and its accuracy is based on the digits of the last number of a in the original number.

For example:

13600, accurate to ten digits, recorded as: 1.360x 10 4.

13200, accurate to hundreds, recorded as: 1.32x 10 4.

322000, accurate to thousands, recorded as: 3.22 x10 5.

Extended data

At present, the Indian Arabic numerals used for counting adopt the decimal principle of 10. Among them, 10 is influenced by natural phenomena, and it is recognized that 10 refers to life; However, the value system is a subjective product. Looking back at the history of notation, we can find that the importance of numerical system in notation far exceeds that of 10 system, which has been compared by mathematical historians to the importance of letters in words. There are many ways to express the bit value, and its formation process is also long.

The idea of bit value in notation means that a number symbol not only has the original number, but also depends on its position in the whole number to determine the exact value of the number. For example, the Indian Arabic numeral 12 1, the right numeral 1 stands for the numeral 1, the middle numeral 2 stands for 20, because it is in the position of 10, and the left numeral 1 stands for 100.

Each number is combined by addition, and the integer represents 12 1. Another example is the Roman numeral Ⅳ, where the V on the right stands for 5 and the I on the left stands for-1. Numbers are also additive combinations, and integers represent 4.

The popular Indian Arabic numerals adopt the notation system of 10, and any natural number can be expressed as an.10n+an-1.10? n- 1? + ……+ a 1 10 + a0? The form of. 10 is called the carry radix, a0? ,a 1? ,,, Ann? Is 1, 2, …, 9, 0, and is one of the numbers of 10. The so-called value system is to omit the power sum plus sign of 10 when writing. ?

As mentioned above, 12 1 is the abbreviation of1.102+2.10+1 Its characteristic is that any natural number can only be represented by this number 10. Starting from the right, the positions of numbers are called units, tens, hundreds and so on. What value a number represents depends on its position, which is the meaning of "bit value or position value".

In ancient notation, Babylonian cuneiform notation, Mayan notation, China arithmetic notation and Indo-Arabic numeral notation were mainly used. Among them, Babylonia adopts 60-decimal notation, Maya adopts 20-decimal notation and 18-decimal notation, and China adopts 10-decimal notation. ?

Maya counted from bottom to top, with a little at the bottom, and the higher the number; The rest of the counting system is that the number of digits increases from right to left. Although the arrangement of carry radix and number is different, the meaning of bit value is the same, which embodies the * * * essence of human mathematical development.

Baidu encyclopedia-scientific counting method

Baidu encyclopedia-counting method