1.20 x 10^21 / (6.02 x 10^23)

asked by guest
on Nov 14, 2024 at 5:22 pm



You asked:

Evaluate the expression: 1.20⋅10216.02⋅1023\frac{1.20 \cdot {10}^{21}}{6.02 \cdot {10}^{23}}

MathBot Answer:

1.20⋅10216.02⋅1023=31505=0.0019933554817275747508305647840531561461794‾\frac{1.20 \cdot {10}^{21}}{6.02 \cdot {10}^{23}} = \frac{3}{1505} = 0.0\overline{019933554817275747508305647840531561461794}

1.20⋅10216.02⋅1023=65⋅10216.02⋅1023=65⋅10000000000000000000006.02⋅1023=12000000000000000000006.02⋅1023=120000000000000000000030150⋅1023=120000000000000000000030150⋅100000000000000000000000=1200000000000000000000602000000000000000000000=31505\begin{aligned}\frac{1.20 \cdot {10}^{21}}{6.02 \cdot {10}^{23}}&=\frac{\frac{6}{5} \cdot {10}^{21}}{6.02 \cdot {10}^{23}}\\&=\frac{\frac{6}{5} \cdot 1000000000000000000000}{6.02 \cdot {10}^{23}}\\&=\frac{1200000000000000000000}{6.02 \cdot {10}^{23}}\\&=\frac{1200000000000000000000}{\frac{301}{50} \cdot {10}^{23}}\\&=\frac{1200000000000000000000}{\frac{301}{50} \cdot 100000000000000000000000}\\&=\frac{1200000000000000000000}{602000000000000000000000}\\&=\frac{3}{1505}\end{aligned}

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