(2.867/1000) + (8.92 x 10)

asked by guest
on Nov 28, 2024 at 1:49 am



You asked:

Evaluate the expression: \(\frac{2.867}{1000} + 8.92 \cdot 10\)

MathBot Answer:

\[\frac{2.867}{1000} + 8.92 \cdot 10 = \frac{89202867}{1000000} = 89.202867\]


\[\begin{aligned}\frac{2.867}{1000} + 8.92 \cdot 10& = \left(2 + \frac{867}{1000}\right) \cdot \frac{1}{1000} + \left(8 + \frac{92}{100}\right) \cdot 10\\& = \frac{2867}{1000} \cdot \frac{1}{1000} + \left(8 + \frac{92}{100}\right) \cdot 10\\& = \frac{2867}{1000000} + \left(8 + \frac{92}{100}\right) \cdot 10\\& = \frac{2867}{1000000} + \left(8 + \frac{23}{25}\right) \cdot 10\\& = \frac{2867}{1000000} + \frac{223}{25} \cdot 10\\& = \frac{2867}{1000000} + \frac{446}{5}\\& = \frac{89202867}{1000000}\end{aligned}\]