Home Common Problem What is the base of decimal system?

What is the base of decimal system?

Jul 27, 2020 pm 04:20 PM
decimal Cardinality

The base of the decimal system is 10, which are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; all numbers are represented by 10 basic symbols, full decimal 1. At the same time, the same symbol represents different values ​​​​at different positions, and the position of the symbol is very important.

What is the base of decimal system?

Decimal

A method of counting. Its characteristic is that when it reaches ten, it carries forward one digit. For example, if the ones digit reaches ten, add one to the tens digit; if the hundreds digit reaches ten, add one to the thousands digit.

When counting according to the rule of "ten by one", every ten identical units form a higher adjacent unit. This counting method is called decimal counting method, or decimal system for short. Its writing principle is the principle of position.

Decimal numbers

Decimal numbers are a number system based on 10, including 0, 1, 2, 3, 4, 5, 6, 7, 8 , 9 consists of ten basic numbers. Decimal system, the English name is Decimal System, comes from the Greek Decem, which means ten. Decimal counting was invented by Hindus 1,500 years ago and passed on by Arabs until the 11th century.

Usage Principles

The decimal system is based on the two principles of bit system and decimal system, that is, all numbers are represented by 10 basic symbols, and the full decimal system is one. At the same time, the same symbol represents different values ​​in different positions, and the position of the symbol is very important.

The basic symbols are ten numbers from 0 to 9.

  • To express 10 times of these ten numbers, shift these numbers to the right by one place and fill in the gaps with 0, that is, 10, 20, 30,..., 90;

  • To express 10 times of these ten numbers, continue to move the number position to the left, that is, 100, 200, 300,...

  • To represent 1/10 of a number, shift the position of the number to the right, and fill in the gaps with 0 if necessary: ​​1/10 is 0.1, 1/100 is 0.01, 1 /1000 is 0.001.

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