First, suppose two negative numbers a and b.
According to the definition of multiplication, a*b can be interpreted as the addition of A and B, that is, a * b = b+b+...+b (* * has a b plus).
Suppose a=-x and b=-y, where x and y are positive numbers, representing the absolute values of a and b.
Then, a*b can be written as: a * b = (-x) * (-y) = (-1) * x * (1) * y.
According to the associative law and commutative law of multiplication, the above formula can be rewritten as: (-1) * x * (1) * y = (-1) * x * y.
Because any number multiplied by its reciprocal is equal to 1, that is, (-1) * (-1) =1.
So the above formula can be simplified as: (-1) * (-1) * x * y =1* x * y = x * y.
So it can be concluded that negative is positive, that is, (-x -x) * (-y) = x * y
This is the mathematical deduction process of "negative is positive", and this conclusion can be drawn by using the definition and operation rules of multiplication.
Negative number is a concept in mathematics, which is used to represent numbers less than zero. A positive number means a number greater than zero, and zero is neither positive nor negative. On the number axis, negative numbers are to the left of zero and positive numbers are to the right of zero.
The role of negative numbers
1, indicating debt and arrears: in finance, negative numbers are often used to indicate debt and arrears. When you are in debt or contingent liabilities, a negative number can clearly indicate the amount to be repaid.
2. Express losses and losses: Negative numbers can also be used to express losses and losses of enterprises, investments or their economic activities. This is very important for evaluating the economic situation and profitability. Downward movement and reciprocity can also be described in this way: in physics and engineering, negative numbers can be used to represent downward movement, reciprocity or their concepts opposite to the direction. This is very useful in describing physical quantities such as speed, acceleration and force.
3. Indicates that the temperature is below zero: In meteorology and scientific experiments, negative numbers are often used to indicate that the temperature is below zero degrees Celsius.