The number "10" in mathematics plays a vital role in our daily life. It is a key number in the radix system, which is used for counting, measuring, marking and solving various mathematical problems.

1. Decimal symbol:

The number "10" is expressed as "10" in decimal mathematics. This is the most common number representation, and ten numbers from 0 to 9 are used to construct all the numbers. Decimal system is the most commonly used counting system in our daily life, which is used to calculate currency, time, date and so on.

2. Binary representation:

In computer science, the number "10" is expressed in binary notation as "10 10". In the binary system, there are only two numbers: 0 and 1, so the number "10" is expressed as two "1", and its bit weights are 2 0 and 2 3 from right to left, respectively, and the decimal value obtained by adding them is 10.

3. Octal symbol:

The number "10" is expressed as "12" in octal notation. Octal has only eight numbers, from 0 to 7. The number "10" has different bit weights in octal.

4. Hexadecimal symbol:

The number "10" is expressed as "a" in hexadecimal notation. The hexadecimal system uses numbers from 0 to 9 and six letters from A to F to represent numbers. In hexadecimal system, "10" means 16.

5. Decimal extension:

The number "10" can be expanded into expressions in various mathematical concepts. For example, it can be expressed as the sum of two equal numbers, such as 5+5. In addition, the number "10" can also be expressed as the sum of continuous natural numbers, such as 1+2+3+4. These mathematical expansion forms have important applications in algebra and mathematical operations.

6. Decimal multiple:

The number "10" is a multiple of many other numbers. For example, it is a multiple of 2, 5 and 10. This makes it have a special position in fractions and decimals. For example,110 means one tenth, and 0. 1 also means one tenth.

7. Decimal division:

The number "10" can be decomposed into different factors, such as the product of 2 and 5. This decomposition plays an important role in number theory and algebra.

8. Decimal system:

In decimal mathematics, the number "10" is the key point of decimal. When the number in one bit reaches 9, it is carried to the next bit to form "10". This is the basic concept in addition and subtraction.

9. Decimal position value:

The position value of the number "10" in the decimal system is very important. It stands for one unit, and in decimal, it stands for ten units. This position value embodies the basic principle of decimal system, and the weight of each bit is ten times that of the previous one.

10. Application of decimal system:

The number "10" is widely used in daily life, such as the combination of hours and minutes in time, the basic unit of money in money, the decimal multiple in weights and measures, and various calculations and measurements in science, engineering, statistics and other fields.