1, idempotent law: idempotent law is a basic principle of equivalent substitution, which means replacing the number itself with a power of a number. For example, if the square of 2 equals 4, then we can replace the square of 2 with 4. This principle can be extended to any real number or complex number.
2. Distribution law: The distribution law refers to the multiplication distribution law, that is, a(b+c)=ab+ac. This principle can be used to multiply a number with multiple numbers in parentheses or add a number with multiple numbers in parentheses. For example, we can multiply 5 by (3+4) to get 5×(3+4)=5×7=35.
3. method of substitution and Combination Method: method of substitution and Combination Method are two basic principles of equivalent substitution, which can be used to change the order of operation and the way of combination. For example, we can simplify a+b+c to (a+b)+c and a*(b+c) to ab+ac. These principles can be used to simplify complex operations.
4. Same base power and same base power division: Same base power and same base power division are also one of the basic principles of equivalent replacement. For example, we can simplify the m power of A multiplied by the n power of A to the (m+n) power of A, and divide the m power of A by the n power of A to the (m-n) power of A. These principles can be used to simplify complex power supply operations.
The importance of learning equivalent substitution
1. Learning equivalent substitution can help us better understand and apply various concepts and formulas in mathematics. In mathematics, there are many equivalent relationships between concepts and formulas, such as some formulas in trigonometric functions, some theorems in linear algebra and so on. By learning equivalent substitution, we can better understand the relationship between these concepts and formulas.
2. Learning equivalent substitution can cultivate our logical reasoning ability and mathematical thinking ability. Equivalent substitution is a logical reasoning method. By observing and analyzing the relationship between equivalent forms, we can exercise our logical thinking ability and mathematical thinking ability, thus solving various mathematical problems better.
3. Learning equivalent substitution can bring a lot of help to our study and work. Whether doing academic research or solving practical problems, finding the best way to solve problems can better grasp the essence of problems. By studying and applying the method of equivalent substitution, we can better understand and apply mathematical knowledge and improve mathematical literacy and thinking ability.