Multiplying negative numbers in different sets

The article considers the multiplication of negative numbers, says about the ability to take out minus one and work with negative numbers as with positive ones, while counting orders of minus one. If «minus times minus will be plus» then when a negative number is raised to a power a positive number is obtained which is uncharacteristic for mathematics as for the structure of numbers. If «minus times minus will be minus» then computational errors occur. Alternating powers of negative numbers are the basis of alternating series, their conditional and absolute convergence. We can consider two sets of positive and negative numbers and say that if we work on an adjacent set of both positive and negative numbers then «minus times minus will be plus», and if we work only on the set of negative numbers then «minus times minus will be minus». Then when raising negative numbers to a power negative numbers will be obtained, as it should be. And when multiplying two negative numbers, a negative number will be obtained if we work on a set of negative numbers. Then we can plot exponential and logarithmic functions with negative bases.