Question

Calcule o valor da expressao 3 - { 3+ { -3} + { 3} }.

Answer 1

Boa noite,

3 - [3 + (-3) + (+3)]
3 - [3 - 3 + 3]
3 - [+3]
3 - 3
0

Espero que tenha te ajudado! :3

Answer 2

Vamos lembrar das regras de sinais

$\boxed{\begin{array}{c}\mathsf{+} \end{array}}\boxed{\begin{array}{c}\mathsf{+} \end{array}}\boxed{\begin{array}{c}\mathsf{=+} \end{array}} \\ \boxed{\begin{array}{c}\mathsf{+} \end{array}}\boxed{\begin{array}{c}\mathsf{-} \end{array}}\boxed{\begin{array}{c}\mathsf{=-} \end{array}} \\ \boxed{\begin{array}{c}\mathsf{-} \end{array}}\boxed{\begin{array}{c}\mathsf{-} \end{array}}\boxed{\begin{array}{c}\mathsf{=+} \end{array}}$
$\boxed{\begin{array}{c}\mathsf{-} \end{array}}\boxed{\begin{array}{c}\mathsf{+} \end{array}}\boxed{\begin{array}{c}\mathsf{=-} \end{array}}$

$3 - ( 3+ \underbrace{(-3) + (3)} ) \\ ~~~~~~~~~~~~(-3)+(3) = -3+3 = 0 \\ \\ \rightarrow 3 - \underbrace{( 3+ 0)} \\ ~~~~~~~~~~(3+0) = +3 \\ \\ \rightarrow \underbrace{ 3 - (+3)} \\ ~~~~~3-3 = 0$


Logo o valor da expressão é zero.

Espero ter ajudado, qualquer dúvida comente embaixo! :)