2.079443+(9.2−8)(0.117782)+(9.2−8)(9.2−9)(−0.006432)+(9.2−8)(9.2−9)(9.2−9.5)(−0.002310)

asked by guest
on Dec 26, 2024 at 8:50 am



You asked:

Evaluate the expression: 2.079443+(9.2−8)⋅0.117782+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.0023102.079443 + \left(9.2 - 8\right) \cdot 0.117782 + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310

MathBot Answer:

2.079443+(9.2−8)⋅0.117782+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=5548510125000000=2.219404042.079443 + \left(9.2 - 8\right) \cdot 0.117782 + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310 = \frac{55485101}{25000000} = 2.21940404

2.079443+(9.2−8)⋅0.117782+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=20794431000000+(9.2−8)⋅0.117782+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=20794431000000+(465−8)⋅0.117782+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=20794431000000+65⋅0.117782+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=20794431000000+65⋅58891500000+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=20794431000000+1766731250000+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+(9.2−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+(465−8)(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+65(9.2−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+65(465−9)⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+65⋅15⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+625⋅−0.006432+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+625⋅−(20131250)+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+625⋅−20131250+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=111039075000000+−603390625+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=5548094325000000+(9.2−8)(9.2−9)(9.2−9.5)⋅−0.002310=5548094325000000+(465−8)(9.2−9)(9.2−9.5)⋅−0.002310=5548094325000000+65(9.2−9)(9.2−9.5)⋅−0.002310=5548094325000000+65(465−9)(9.2−9.5)⋅−0.002310=5548094325000000+65⋅15(9.2−9.5)⋅−0.002310=5548094325000000+625(9.2−9.5)⋅−0.002310=5548094325000000+625(465−9.5)⋅−0.002310=5548094325000000+625(465−192)⋅−0.002310=5548094325000000+625⋅−310⋅−0.002310=5548094325000000+−9125⋅−0.002310=5548094325000000+−9125⋅−(231100000)=5548094325000000+−9125⋅−231100000=5548094325000000+207912500000=5548510125000000\begin{aligned}2.079443 + \left(9.2 - 8\right) \cdot 0.117782 + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310&=\frac{2079443}{1000000} + \left(9.2 - 8\right) \cdot 0.117782 + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{2079443}{1000000} + \left(\frac{46}{5} - 8\right) \cdot 0.117782 + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{2079443}{1000000} + \frac{6}{5} \cdot 0.117782 + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{2079443}{1000000} + \frac{6}{5} \cdot \frac{58891}{500000} + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{2079443}{1000000} + \frac{176673}{1250000} + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \left(9.2 - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \left(\frac{46}{5} - 8\right) \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{6}{5} \left(9.2 - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{6}{5} \left(\frac{46}{5} - 9\right) \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{6}{5} \cdot \frac{1}{5} \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{6}{25} \cdot -0.006432 + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{6}{25} \cdot -\left( \frac{201}{31250} \right) + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{6}{25} \cdot \frac{-201}{31250} + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{11103907}{5000000} + \frac{-603}{390625} + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \left(9.2 - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \left(\frac{46}{5} - 8\right) \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{5} \left(9.2 - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{5} \left(\frac{46}{5} - 9\right) \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{5} \cdot \frac{1}{5} \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{25} \left(9.2 - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{25} \left(\frac{46}{5} - 9.5\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{25} \left(\frac{46}{5} - \frac{19}{2}\right) \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{6}{25} \cdot \frac{-3}{10} \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{-9}{125} \cdot -0.002310\\&=\frac{55480943}{25000000} + \frac{-9}{125} \cdot -\left( \frac{231}{100000} \right)\\&=\frac{55480943}{25000000} + \frac{-9}{125} \cdot \frac{-231}{100000}\\&=\frac{55480943}{25000000} + \frac{2079}{12500000}\\&=\frac{55485101}{25000000}\end{aligned}

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