The law of multiplication and distribution is: a× (b+c) = a× b+a× c This formula tells us that when we have a number multiplied by the sum of two numbers, we can multiply them separately and then add the results. Reverse operation is to reverse an operation. For the multiplicative distribution law, its inverse operation is: a×b+a×c=a×(b+c).

This formula tells us that when we know the product of a number and the sum of two numbers, we can easily find the results of multiplying this number and these two numbers respectively. Multiplication and distribution law refers to the sum of two numbers multiplied by one number. You can multiply them by this number first and then add them up.

Mathematical formula is an expression method that people find some connection between things in nature and express it in some way. It represents the equal or unequal relationship between the quantities of different things in nature, accurately reflects the internal and external relations of things, and is the basis for us to reach another thing from one thing, so as to better understand the essence and connotation of things.

Mathematics is a universal means for human beings to strictly describe and deduce the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.

The significance of learning mathematics:

1. Enhance logical thinking and analytical ability: Mathematics is a discipline with strict logic. Learning mathematics can exercise our logical thinking and analytical ability and improve our problem-solving ability.

2. Cultivate abstract thinking and innovative thinking: There are many abstract concepts and ways of thinking in mathematics. Learning mathematics can cultivate our abstract thinking and innovative thinking, and make us more capable of discovery and creation.

3. Improve mathematical literacy and mathematical application ability: Mathematics is a subject widely used in various fields. Learning mathematics can improve our mathematical literacy and mathematical application ability, so as to better cope with practical problems and challenges.