First, delete the principle of parenthesis rule.
1, distribution law
The multiplication and division method allows us to multiply the brackets and the items in brackets with another number as a whole, and the result is the same as multiplying each item in brackets with another number and then summing up.
2, the legal connection
The law of association allows us to change the order of the items in brackets, but it does not affect the final result.
Second, how to remember and use the rule of removing brackets.
1, understand the rules
First of all, we should understand the principle and significance of bracket removal rule. By understanding the mathematical principle behind the law, we can better understand the essence of the law and remember it more easily.
2. Rules of practice
Do more exercises and keep practicing the rules of removing brackets until you master them. Through a lot of practice, we can deepen our understanding and memory of the law.
3, formula memory
The rule of removing brackets can be summarized as a formula or a jingle, which is easy to remember. For example, the symbols "+"and "-"are in the front, while the symbols "×" and "∫" are opposite.
4. Associative memory
Memorize the laws of brackets together with other related laws or knowledge points. For example, it is easier to remember and use the rule of bracket removal by linking it with knowledge points such as multiplication distribution law and multiplication association law.
Step 5 summarize
Summarize the application of bracket rule and form your own knowledge system. This can help you better grasp the law of bracket removal and use it flexibly in different situations.
Relationship between bracket removal rule and other mathematical concepts
1, multiplicative distribution law
The rule of removing brackets is actually an application of multiplication and division. The law of multiplication and distribution means that a number is multiplied by each item in brackets and then summed, which is the same as the result of multiplying the items in brackets first and then multiplying another number.
2. Multiplicative associative law
The law of multiplicative association means that the multiplication operation satisfies the law of association, that is, the items before and after brackets can be exchanged at will without changing the result. The rule of removing brackets also satisfies the law of association, that is, the items before and after brackets can be exchanged at will, and the result remains unchanged.
3. Algebraic expressions
The rule of removing brackets is widely used in algebra. By using the rule of removing brackets, complex algebraic expressions can be simplified to simple forms, which is convenient for further calculation and analysis.
4. Equation
In the process of solving equations, the rule of removing brackets also plays an important role. Using the rule of removing brackets, we can separate the unknown from other terms in the equation and simplify the solution of the equation.