0.010*2.26*10 ^6

asked by guest
on Jan 28, 2025 at 2:20 pm



You asked:

Evaluate the expression: 0.0102.261060.010 \cdot 2.26 \cdot {10}^{6}

MathBot Answer:

0.0102.26106=226000.010 \cdot 2.26 \cdot {10}^{6} = 22600


0.0102.26106=1100(2+26100)106=1100(2+1350)106=110011350106=1100113501000000=11350001000000=22600\begin{aligned}0.010 \cdot 2.26 \cdot {10}^{6}& = \frac{1}{100} \cdot \left(2 + \frac{26}{100}\right) \cdot 10^{6}\\& = \frac{1}{100} \cdot \left(2 + \frac{13}{50}\right) \cdot 10^{6}\\& = \frac{1}{100} \cdot \frac{113}{50} \cdot 10^{6}\\& = \frac{1}{100} \cdot \frac{113}{50} \cdot 1000000\\& = \frac{113}{5000} \cdot 1000000\\& = 22600\end{aligned}