In mathematics, product refers to the result of multiplication of two or more numbers. The sign of the product is the multiplication sign (×), for example, 2×3=6, where 2 and 3 are multiplicand and 6 is the product. Product is a basic concept and one of the most basic operations in mathematics.
Product can be used to represent the product of multiple identical factors, and it can also be used to represent the product of different factors. For example, 4×4×4 can be written as 4 3, where 4 is a factor, 3 is an exponent, and 4 3 represents the cube of 4. Similarly, 2×3×5 can be written as 2×3×5, where 2, 3 and 5 are different factors.
Products are widely used in mathematics, such as algebra, geometry, calculus, probability and other branches of mathematics. In algebra, product is the result of polynomial multiplication; In geometry, product is one of the basic methods to calculate area and volume. In calculus, product is one of the basic tools to solve definite integral and differential equations. In probability theory, product is one of the calculation methods of joint probability and conditional probability.
What are the basic properties of product in mathematics?
Product has some basic properties in mathematics, such as associative law, commutative law and distributive law. The law of association means that the order of products does not affect the result of products, that is, (a× b )× c = a× (b× c); The commutative law shows that the factor order of the product does not affect the result of the product, that is, a× b = b× a.
The distribution law shows the distribution property of multiplication to addition, that is, a× (b+c) = a× b+a× c. These basic properties are widely used in mathematics, such as solving polynomial products in algebra and calculating area and volume in geometry.