1, complete square formula: for an integer a, (a+b) 2 = a 2+2ab+b 2 is a complete square formula. This formula can be used to calculate the square quickly, especially when integer operations are involved.
2. Distribution law: Distribution law is an important mathematical algorithm, which can be used to simplify the sum of a number multiplied by several numbers into the sum of the products of several numbers multiplied by this number respectively. For example, (A+B+C) (M+N) = AM+An+BM+BN+CM+CN+CMN is an example of the distribution law. This rule can be used to simplify the multiplication of multiple digits.
3. Square difference formula: For two integers A and B, (a-b) (a+b) = a 2-b 2 is the square difference formula. This formula can be used to quickly calculate the square difference between two integers, especially when the difference between A and B is large.
4. Properties of power operation: Power operation is a n important mathematical operation, which can be used to multiply a number by the power of n ... For example, A n represents the power of a, and power operation has some important properties, such as (a m) n = a (Mn) and (ab) n = a n * b n, which can be used to simplify calculation and improve calculation speed.
Skills of square calculation:
1, oral speed algorithm: this method requires a certain amount of memory and oral calculation ability. By memorizing some commonly used square numbers and square calculation rules, we can quickly find the square of any number.
2. Common factor extraction method: This method requires a certain ability to observe and decompose factors. By finding the common factor in the number and extracting it, the calculation process is simplified.
3. Formula method: This method needs to master some commonly used square formulas, such as complete square formula and square difference formula, through which the squares of some numbers can be quickly calculated.
4. Prime factor decomposition: This method needs to master the skills of prime factor decomposition, decompose the number into the product of prime factors, and then calculate the square of the original number according to the square of each prime factor.
5. Vertical arrangement method: This method requires some patience and care, and the square of the number is calculated step by step by column vertical arrangement method. This method is suitable for some large numbers or occasions that need accurate calculation.