4.10-5.6-4.5+8.3

asked by guest
on Nov 19, 2024 at 8:31 am



You asked:

Evaluate the expression: \(4.10 - 5.6 - 4.5 + 8.3\)

MathBot Answer:

\[4.10 - 5.6 - 4.5 + 8.3 = \frac{23}{10} = 2.3\]

\[\begin{aligned}4.10 - 5.6 - 4.5 + 8.3& = 4 + \frac{1}{10} - \left(5 + \frac{6}{10}\right) - \left(4 + \frac{5}{10}\right) + 8 + \frac{3}{10}\\& = 4 + \frac{1}{10} - \left(5 + \frac{3}{5}\right) - \left(4 + \frac{5}{10}\right) + 8 + \frac{3}{10}\\& = 4 + \frac{1}{10} - \frac{28}{5} - \left(4 + \frac{5}{10}\right) + 8 + \frac{3}{10}\\& = 4 + \frac{1}{10} - \frac{28}{5} - \left(4 + \frac{1}{2}\right) + 8 + \frac{3}{10}\\& = 4 + \frac{1}{10} - \frac{28}{5} - \frac{9}{2} + 8 + \frac{3}{10}\\& = \frac{41}{10} - \frac{28}{5} - \frac{9}{2} + 8 + \frac{3}{10}\\& = - \frac{3}{2} - \frac{9}{2} + 8 + \frac{3}{10}\\& = -6 + 8 + \frac{3}{10}\\& = 2 + \frac{3}{10}\\& = \frac{23}{10}\end{aligned}\]

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