(4) The distance from the Sun to the star Proxima Centauri is a little more than \( 4 \times 10^{16} \) meters. The distance from the Sun to the Cone Nebula is about \( 8 \times 10^{16} \) meters. (4) About how many times farther from the Sun is the Cone Nebula than Proxima Centauri?

To find out how many times farther from the Sun the Cone Nebula is compared to Proxima Centauri, we need to divide the distance from the Sun to the Cone Nebula by the distance from the Sun to Proxima Centauri. Given: - Distance from the Sun to Proxima Centauri = \(4 \times 10^{16}\) meters - Distance from the Sun to the Cone Nebula = \(8 \times 10^{16}\) meters Let's calculate how many times farther the Cone Nebula is from the Sun compared to Proxima Centauri. Calculate the value by following steps: - step0: Calculate: \(\frac{8\times 10^{16}}{4\times 10^{16}}\) - step1: Separate the fraction: \(\frac{8}{4}\times \frac{10^{16}}{10^{16}}\) - step2: Divide: \(2\times \frac{10^{16}}{10^{16}}\) - step3: Divide: \(2\times 10^{16-16}\) - step4: Evaluate: \(2\times 10^{0}\) - step5: Rewrite the number: \(2\)