1, addition and subtraction. Addition is to add two or more values to get a sum, and subtraction is to subtract one number from another to get a difference. Addition has commutative law and associative law, that is, a+b=b+a and (A+B)+C = A+(B+C); Subtraction has no commutative law but has property 3, that is, a-b-c=a-(b+c).
2. Multiplication. Multiplication is to multiply one or more values to get a product, such as 2x3=6. Multiplication also has commutative law and associative law, that is, a×b=b×a and (a× b )× c = a× (b× c); In addition, there is a distribution law of multiplication, that is, a× (b+c) = a× b+a× c.
3. organization. Division is to divide one number by another to get the quotient, for example, 6÷3=2. Division also has the same commutative law, associative law and distributive law as addition, subtraction, multiplication and division, that is, a÷b=b÷a, (a÷b)÷c=a÷(b×c) and a ÷ (b+c) = (a ÷ b )×
The role of four operations in mathematics
1, basis: Four arithmetic rules are the most basic arithmetic rules in mathematics and the basis of other mathematical operations. Complex operations, such as addition, subtraction, multiplication and division, fractions and decimals, can be derived by four algorithms.
2. Logical reasoning: Four algorithms can help us to make logical reasoning. Using these four algorithms, we can transform, combine and deduce the known conditions, and thus draw new conclusions. This logical reasoning ability is very important in solving practical problems and mathematical proof.
3. Abstract thinking: Four algorithms cultivate our abstract thinking ability. When doing four operations, we need to abstract specific problems into mathematical symbols and formulas for symbolic operations. This kind of abstract thinking ability is very helpful to understand and solve complex problems.
4. Problem solving: Four algorithms are tools to solve practical problems. Whether it is shopping calculation in daily life, travel planning, or data processing and modeling in scientific experiments, four algorithms can be used for calculation and derivation. They help us turn practical problems into mathematical models and find solutions.
5. Promote the development of the discipline: Four algorithms are the basis of all branches of mathematics. Algebra, geometry, calculus and other advanced mathematics fields are inseparable from the support and application of the four algorithms. Their discovery and application promoted the development of mathematics and provided important mathematical tools and methods for other disciplines.