Question

approximate the number using a calculator.
$e^{-0.48}$
$e^{-0.48} \approx \square$ (round to three decimal places.)

Explanation:

Step1: Recall the exponential function

The expression is $e^{-0.48}$. We know that $e^x$ is the exponential function, and $e^{-a}=\frac{1}{e^a}$.

Step2: Use a calculator to compute

Using a calculator, we first calculate $e^{0.48}$ and then take its reciprocal. Or directly calculate $e^{-0.48}$.
Calculating $e^{-0.48}$:
We know that $e\approx2.71828$.
$e^{-0.48}=\frac{1}{e^{0.48}}$.
First, calculate $e^{0.48}\approx1.616074402$.
Then, $\frac{1}{1.616074402}\approx0.619$.

Answer:

$0.619$