Respuesta:
To solve this expression, we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right):
\(5,431×10^3 - 6,51×10^4 + \frac{385×10^2}{8,2×10^{-3}} - 2×10^{-4}\)
First, let's simplify the division term:
\(\frac{385×10^2}{8,2×10^{-3}} = \frac{385 \times 10^2}{8.2 \times 10^{-3}} = \frac{385 \times 100}{8.2 \times 0.001} = \frac{38500}{0.0082} = 4695121.95\)
Now, substitute the values back into the expression:
\(5,431×10^3 - 6,51×10^4 + 4695121.95 - 2×10^{-4}\)
Now, calculate each term:
\(5,431 \times 1000 - 6,51 \times 10000 + 4695121.95 - 2 \times 0.0001\)
\(= 5431000 - 65100 + 4695121.95 - 0.0002\)
\(= 5431000 - 65100 + 4695121.95 - 0.0002\)
\(= 101,9921.75\)
