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Resolver eliminando primero signos de agrupación. \( \begin{array}{c}\text { (1) }-(-150+375)+(1745)-(+876)-6+150+375) \\ \text { (2) }+300-[+486-(-315)-(+730-106-200)]-(+435) \\ \text { (3) }-[+672-580+(+115-786)-(-836+436-910)+315] \\ \text { Solcción }\end{array} \)

Ask by Gibson Mcfarlane. in Colombia
Mar 14,2025

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\[ \textbf{Resultados:} \] 1. \(1163\) 2. \(-512\) 3. \(-1046\) \[ \boxed{1163,\ -512,\ -1046} \]

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The Deep Dive

Para resolver la expresión, comenzamos por eliminar los signos de agrupación en todos los términos. (1) \(-(-150+375) = 150 - 375 = -225\) La primera parte se convierte en: \(-(-225) + 1745 - 876 - 6 + 150 + 375 = 225 + 1745 - 876 - 6 + 150 + 375\) Resolviendo: \[225 + 1745 - 876 - 6 + 150 + 375 = 1613\] (2) La segunda parte: \(+300 - [+486 - (-315) -(+730 - 106 - 200)] - (+435)\) Primero, resolvemos dentro del corchete: \(-730 + 106 + 200 = -424\) Luego, \[486 + 315 + 424 = 1225\] Por lo tanto, la expresión se convierte en: \[300 - 1225 - 435 = -1360\] (3) La tercera parte: \(-[+672 - 580 + (+115 - 786) - (-836 + 436 - 910) + 315]\) Resolviendo dentro del corchete: \(115 - 786 = -671\) y \(-836 + 436 - 910 = -1310\) Luego, \[\Rightarrow 672 - 580 - 671 + 1310 + 315\] Resolviendo, obtenemos \[(672 - 580 - 671 + 1310 + 315 = 1046 ) \Rightarrow -1046\] Finalmente, combinamos esas dos partes de la expresión. \[ 1613 + (-1360) - 1046 = 1613 - 1360 - 1046 \] Esto se traduce a \( 1613 - 1360 = 253\) y \(253 - 1046 = -793\) Por lo tanto, la solución es \(-793\).

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