3.01 x 10710^{7} / 2.2x10910^{9}

asked by guest
on Dec 27, 2024 at 4:52 am



You asked:

Evaluate the expression: 3.01⋅1072.2⋅109\frac{3.01 \cdot {10}^{7}}{2.2} \cdot {10}^{9}

MathBot Answer:

3.01⋅1072.2⋅109=15050000000000000011=13681818181818181.81‾\frac{3.01 \cdot {10}^{7}}{2.2} \cdot {10}^{9} = \frac{150500000000000000}{11} = 13681818181818181.\overline{81}

3.01⋅1072.2⋅109=301100⋅1072.2⋅109=301100⋅100000002.2⋅109=301000002.2⋅109=30100000115⋅109=15050000011⋅109=15050000011⋅1000000000=15050000000000000011\begin{aligned}\frac{3.01 \cdot {10}^{7}}{2.2} \cdot {10}^{9}&=\frac{\frac{301}{100} \cdot {10}^{7}}{2.2} \cdot {10}^{9}\\&=\frac{\frac{301}{100} \cdot 10000000}{2.2} \cdot {10}^{9}\\&=\frac{30100000}{2.2} \cdot {10}^{9}\\&=\frac{30100000}{\frac{11}{5}} \cdot {10}^{9}\\&=\frac{150500000}{11} \cdot {10}^{9}\\&=\frac{150500000}{11} \cdot 1000000000\\&=\frac{150500000000000000}{11}\end{aligned}

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