100×10³/3.14×10²

asked by guest
on Jan 19, 2025 at 8:18 am



You asked:

Evaluate the expression: 100⋅1033.14⋅102\frac{100 \cdot {10}^{3}}{3.14} \cdot {10}^{2}

MathBot Answer:

100⋅1033.14⋅102=500000000157=3184713.375796178343949044585987261146496815286624203821656050955414012738853503184713‾\frac{100 \cdot {10}^{3}}{3.14} \cdot {10}^{2} = \frac{500000000}{157} = 3184713.\overline{375796178343949044585987261146496815286624203821656050955414012738853503184713}

100⋅1033.14⋅102=100⋅10003.14⋅102=1000003.14⋅102=10000015750⋅102=5000000157⋅102=5000000157⋅100=500000000157\begin{aligned}\frac{100 \cdot {10}^{3}}{3.14} \cdot {10}^{2}&=\frac{100 \cdot 1000}{3.14} \cdot {10}^{2}\\&=\frac{100000}{3.14} \cdot {10}^{2}\\&=\frac{100000}{\frac{157}{50}} \cdot {10}^{2}\\&=\frac{5000000}{157} \cdot {10}^{2}\\&=\frac{5000000}{157} \cdot 100\\&=\frac{500000000}{157}\end{aligned}

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