Respuesta :
Check below, please.
1) The sign rules are practical rules that tell us the sign in each operation.
2) So, let's enlist them providing an example of each:
Multiplication and Divison
"If the signs of each multiplier/dividend and multiplicand/divisor are the same then the product is positive.":
[tex]\begin{gathered} (-2)\times(-4)=8 \\ 2\times4=8 \\ \\ \frac{-2}{-4}=\frac{1}{2} \\ \frac{2}{4}=\frac{1}{2} \end{gathered}[/tex]On the other hand, "If the signs of each multiplier/dividend and multiplicand/divisor are different then the product/quotient is negative."
[tex]\begin{gathered} (-2)\times(4)=-8 \\ 2\times-4=-8 \\ \frac{-2}{4}=-\frac{1}{2} \\ \frac{2}{-4}=-\frac{1}{2} \end{gathered}[/tex]Addition:
"The magnitude of the addend indicates the sign". The greatest absolute value indicates the sign of the sum:
[tex]\begin{gathered} 2+4=6 \\ 2+(-4)=-2 \\ -7+4=-3 \\ 7+(-4)=7-4=3_{} \end{gathered}[/tex]Subtraction
Similarly to addition, the greatest absolute value (or magnitude) is going to tell the sign of the subtraction:
[tex]\begin{gathered} 7-4=3 \\ -7+4=-3 \\ -7-4=-11 \\ 2-(-4)=2+4=6 \end{gathered}[/tex]
