Question

Preciso para hoje me ajudem!!​

Answer 1

                          Leis dos Sinais

Problema 18:

Com base na imagem anexada às leis dos signos, resolvemos os exemplos:

Exemplo "a" :

$\texttt{(-3) * (+5) * (-10)}\\\\\texttt{= -(3)(5) * (-10)}\\\\\texttt{=(-15) * (-10)}\\\\\texttt{= +(15)(10)}\\\\\texttt{=}\ \boxed{\bf{150}}$

Exemplo "b" :

$\texttt{(-8) * (-2) * (-1)}\\\\\texttt{= +(8)(2) * (-1)}\\\\\texttt{=(+16) * (-1)}\\\\\texttt{= -(16)(1)}\\\\\texttt{=}\ \boxed{\bf{-16}}$

Exemplo "c" :

$\texttt{(-11) * (+2) * (+3)}\\\\\texttt{= -(11)(2) * (+3)}\\\\\texttt{=(-22) * (+3)}\\\\\texttt{= -(22)(3)}\\\\\texttt{=}\ \boxed{\bf{-66}}$

Exemplo "d" :

$\texttt{(-30) * (+2) * (-1) * (-7)}\\\\\texttt{= -(30)(2) * (-1) * (-7)}\\\\\texttt{=(-60) * (-1) * (-7)}\\\\\texttt{= +(60)(1) * (-7)}\\\\\texttt{= (+60) * (-7)}\\\\\texttt{= -(60)(7)}\\\\\texttt{=}\ \boxed{\bf{-420}}$

Problema 19:

Vamos lembrar o seguinte:

$\boxed{\bf{(-a) : (-b) = + (a : b)}}\\\\\\\boxed{\bf{(a) : (-b) = -(a : b)}}$

Com base nisso, dividimos cada número na sequência por -2:

$\texttt{(-36):(-2) = +(36:2) =}\ \boxed{\bf{18}}\\\\\\\texttt{(-24):(-2) = +(24:2) =}\ \boxed{\bf{12}}\\\\\\\texttt{(-12):(-2) = +(12:2) =}\ \boxed{\bf{6}}\\\\\\\texttt{(0):(-2) = -(0:2) =}\ \boxed{\bf{0}}\\\\\\\texttt{(12):(-2) = -(12:2) =}\ \boxed{\bf{-6}}\\\\\\\texttt{(24):(-2) = -(24:2) =}\ \boxed{\bf{-12}}\\\\\\\texttt{(36):(-2) = -(36:2) =}\ \boxed{\bf{-18}}$

Finalmente, obtemos a seguinte sequência:

$\boxed{\huge{\texttt{18 ; 12 ; 6 ; 0 ; -6 ; -12 ; -18}}}$

Espero ter ajudado, boa sorte!!