In order to find the sign of the product, we need to know that the product of two equal signs will be a positive sign, and two different signs will be a negative sign.
Also, we can consider just the sign of each number in order to find the final sign.
So we have that:
[tex]\begin{gathered} -4\cdot(-\frac{8}{9})\cdot2.78\cdot(1\frac{1}{3})\cdot(-\frac{2}{5})\cdot(-6.2)\cdot(-0.2873)\cdot(3\frac{1}{11})\cdot A \\ =(_{}-)(_{}-)(_{}+)(_{}+)(_{}-)(_{}-)(_{}-)(_{}+)\cdot A \\ =-A \end{gathered}[/tex]
The sign of the product is negative, if A is a positive number, and is positive, if A is a negative number.
