4*[-10-2*(5-14/7)-5*(4-7)]

asked by guest
on Apr 06, 2025 at 4:54 pm



You asked:

Evaluate the expression: 4(−10−2(5−147)−5(4−7))4 \left(-10 - 2 \left(5 - \frac{14}{7}\right) - 5 \left(4 - 7\right)\right)

MathBot Answer:

4(−10−2(5−147)−5(4−7))=−44 \left(-10 - 2 \left(5 - \frac{14}{7}\right) - 5 \left(4 - 7\right)\right) = -4

4(−10−2(5−147)−5(4−7))=4(−10−2(5−2)−5(4−7))=4(−10−2⋅3−5(4−7))=4(−10−6−5(4−7))=4(−16−5(4−7))=4(−16−5⋅−3)=4(−16−−15)=4⋅−1=−4\begin{aligned}4 \left(-10 - 2 \left(5 - \frac{14}{7}\right) - 5 \left(4 - 7\right)\right)&=4 \left(-10 - 2 \left(5 - 2\right) - 5 \left(4 - 7\right)\right)\\&=4 \left(-10 - 2 \cdot 3 - 5 \left(4 - 7\right)\right)\\&=4 \left(-10 - 6 - 5 \left(4 - 7\right)\right)\\&=4 \left(-16 - 5 \left(4 - 7\right)\right)\\&=4 \left(-16 - 5 \cdot -3\right)\\&=4 \left(-16 - -15\right)\\&=4 \cdot -1\\&=-4\end{aligned}

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