1, meaning of decimal:

Decimal is an extension of integers, indicating the relative size relationship between integers. Decimals can also represent real numbers, that is, decimals can represent numbers with arbitrary precision. For example, pi is an infinite decimal.

2, the nature of the decimal:

(1) Finite Decimal: A finite decimal is a decimal with a finite fraction. For example, 0.25 is a finite decimal. Finite decimals can be directly expressed as fractions.

(2) Infinitely circulating decimals: Infinitely circulating decimals are decimals with infinitely circulating decimal parts. For example, 0.666 ... is an infinite cycle decimal. Infinitely cyclic decimals can be expressed as true fractions.

(3) Infinite acyclic decimal: the fraction of infinite acyclic decimal is not infinitely repeated, such as pi. None of these decimals can be accurately expressed as fractions.

(4) Four operations of decimals: Decimals can be added, subtracted, multiplied and divided like integers. However, attention should be paid to the position of decimal point in quaternary operation, and complement calculation is needed if necessary.

Expand knowledge:

Decimal is an important expression in mathematics.

Decimals often appear in life and work, such as shopping prices, financial accounts, scientific mining of experimental data, etc., so it is very important to understand the meaning and nature of decimals. Pay attention to the precision of decimal places when performing decimal operations. The higher the accuracy, the more accurate the calculation result.

In addition, when comparing decimals, we can convert decimals into fractions for comparison to avoid errors caused by decimal operation.

In decimal, the integer part and the decimal part are separated by decimal points, and the position of the decimal part indicates the accuracy of the number judgment check word and reflects the size relationship of the number. Decimal is also an important knowledge point in mathematics. Students need to master the meaning and nature of decimals and establish the foundation of mathematical thinking in order to better adapt to learning.

Learning about decimals through handwritten newspapers can enhance students' memory and communication ability, and cultivate students' ability to deeply understand and accurately express knowledge.