Algebraic writing format is a standard way to express mathematical concepts, operations and relationships. Mastering algebraic writing format is helpful to improve the accuracy and understandability of mathematical expressions. The following is a detailed introduction to the algebraic writing format:
1. Multiplication: When two letters are multiplied, the multiplication sign can be omitted. For example, the product of x and y can be written as xy. When a number is multiplied by a letter, you can omit the multiplication sign and put the number before the letter. For example, five times a can be written as 5a. When letters are multiplied by brackets, the multiplication sign can be omitted.
For example, 2(ab) means twice the product of A and B. When parentheses are multiplied by parentheses, the multiplication sign is usually omitted, but simple parentheses should be placed before complex parentheses. For example, (2ab)c represents the product of 2a and b multiplied by c.
2. Division operation: Division symbols cannot appear in algebraic expressions, and the division relationship should be written in the form of fractions. For example, 5 divided by a should be written as 5/a, and c divided by d should be written as c/d.
3. Addition and subtraction: symbols for addition and subtraction cannot be omitted. For example, 2+3 should be written as 2+3 instead of 23. Algebraic expressions with units, and units should be written after algebraic expressions. For example, 2m should be written as 2m and 3kg+2kg should be written as 3kg+2kg.
4. Deal with the score: multiply the letter by the score, and turn the score into a false score. For example, 3 1/2 times a should be written as 7/2a instead of 32/1a.
5. Operation sequence: multiply first, then divide, and then add and subtract. For example: 2x3y÷2z, first calculate 2x3, and then divide by 2z. When multiplication and division are mixed, they are calculated from left to right. For example: 2×3+4÷2, calculate 2×3 first, then add 4, and finally divide by 2.
6. Symbol priority: power operation takes precedence over multiplication and division, and multiplication and division takes precedence over addition and subtraction. For example: 2x3y? ÷2z, y should be counted first? , multiplied by 2x3, and finally divided by 2z.
Algebraic writing format requires clear and concise expression, following the operation order and symbol priority. In practical application, mastering the writing format of algebraic expressions is helpful to improve the accuracy and efficiency of mathematical operations.