Distance Conversion B6C7F7
1. The problem is to convert the distances of stars from light years (ly) to meters (m) using the conversion factor $1\text{ ly} \approx 9.46 \times 10^{15} \text{ m}$.
2. The formula to convert light years to meters is:
$$\text{Distance in meters} = \text{Distance in ly} \times 9.46 \times 10^{15}$$
3. For Wolf 359, the distance in meters is already calculated as:
$$7.78 \times 9.46 \times 10^{15} = 7.36 \times 10^{16} \text{ m}$$
4. Now, calculate the distances for the other stars:
- Ross 154:
$$9.68 \times 9.46 \times 10^{15} = 9.15 \times 10^{16} \text{ m}$$
- YZ Ceti:
$$12.13 \times 9.46 \times 10^{15} = 1.15 \times 10^{17} \text{ m}$$
- Gliese 832:
$$16.08 \times 9.46 \times 10^{15} = 1.52 \times 10^{17} \text{ m}$$
5. Explanation: Multiply the given distance in light years by the conversion factor to get the distance in meters. This uses basic multiplication and properties of exponents.
Final answers:
- Ross 154: $9.15 \times 10^{16}$ m
- YZ Ceti: $1.15 \times 10^{17}$ m
- Gliese 832: $1.52 \times 10^{17}$ m