Approximate the following number using a calculator.
$9^{-1.3} \approx$ (Round to three decimal places as needed.)
Answer (2)
To approximate 9 − 1.3 , we calculate it to be approximately 0.082668. Rounding this value to three decimal places gives us 0.083. Hence, the final answer is 0.083 .
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Calculate the value of the expression: 9 − 1.3 ≈ 0.082668 .
Round the result to three decimal places.
The approximation of the number 9 − 1.3 is 0.083 .
The final answer is 0.083 .
Explanation
Understanding the Problem We are asked to approximate the value of 9 − 1.3 using a calculator and round the result to three decimal places.
Calculating the Value Using a calculator, we find that 9 − 1.3 ≈ 0.082668 .
Rounding the Result Rounding this result to three decimal places, we get 0.083 .
Final Answer Therefore, 9 − 1.3 ≈ 0.083 .
Examples
Understanding exponential decay, such as 9 − 1.3 , is crucial in various fields. For instance, it helps in calculating the depreciation of an asset over time, modeling the decay of radioactive substances, or determining the decrease in signal strength over a distance. In finance, it can be used to estimate the present value of future cash flows, considering a certain discount rate. Imagine you bought a car, and its value decreases by a certain factor each year; exponential decay helps you predict its worth in the future.
