1.4\cdot 10^{9} - 8.6 \cdot 10^{8} =

asked by guest
on Jan 28, 2025 at 10:01 pm



You asked:

Evaluate the expression: 1.41098.61081.4 \cdot {10}^{9} - 8.6 \cdot {10}^{8}

MathBot Answer:

1.41098.6108=5400000001.4 \cdot {10}^{9} - 8.6 \cdot {10}^{8} = 540000000


1.41098.6108=(1+410)109(8+610)108=(1+25)109(8+610)108=75109(8+610)108=751000000000(8+610)108=1400000000(8+610)108=1400000000(8+35)108=1400000000435108=1400000000435100000000=1400000000860000000=540000000\begin{aligned}1.4 \cdot {10}^{9} - 8.6 \cdot {10}^{8}& = \left(1 + \frac{4}{10}\right) \cdot 10^{9} - \left(8 + \frac{6}{10}\right) \cdot 10^{8}\\& = \left(1 + \frac{2}{5}\right) \cdot 10^{9} - \left(8 + \frac{6}{10}\right) \cdot 10^{8}\\& = \frac{7}{5} \cdot 10^{9} - \left(8 + \frac{6}{10}\right) \cdot 10^{8}\\& = \frac{7}{5} \cdot 1000000000 - \left(8 + \frac{6}{10}\right) \cdot 10^{8}\\& = 1400000000 - \left(8 + \frac{6}{10}\right) \cdot 10^{8}\\& = 1400000000 - \left(8 + \frac{3}{5}\right) \cdot 10^{8}\\& = 1400000000 - \frac{43}{5} \cdot 10^{8}\\& = 1400000000 - \frac{43}{5} \cdot 100000000\\& = 1400000000 - 860000000\\& = 540000000\end{aligned}