Question

Mercury is 5.8×107
km from the sun. Neptune is 4.5×1010
km from the sun. How much further is Neptune from the sun than Mercury?(1 point)
Responses

Add the distances together: (5.8×107)+(4.5×1010) = 10.3×1017=1.03×1018
km
Add the distances together: (5.8×107)+(4.5×1010) = 10.3×1017=1.03×1018
km

Multiply the distances: (5.8×107)⋅(4.5×1010) = (5.8×4.5)⋅(107+10)=26.1×1017=2.61×1018
km
Multiply the distances: (5.8×107)⋅(4.5×1010) = (5.8×4.5)⋅(107+10)=26.1×1017=2.61×1018
km

Subtract the distances by getting the same power of 10: (4.5×1010)−(5.8×107) =(4.5×1010)−(0.0058×1010)=4.49×1010
km
Subtract the distances by getting the same power of 10: (4.5×1010)−(5.8×107) =(4.5×1010)−(0.0058×1010)=4.49×1010
km

Divide the distances: 4.5×10105.8×107=0.78×103 =7.8×102
km

Answer 1

To find out how much further Neptune is from the Sun than Mercury, we need to subtract the distance of Mercury from the distance of Neptune.

Given:
- Distance of Mercury from the Sun = \(5.8 \times 10^7\) km
- Distance of Neptune from the Sun = \(4.5 \times 10^{10}\) km

To perform the subtraction, we first express both distances with the same power of ten. The easiest way to do this is to convert \(5.8 \times 10^7\) into the same power as \(4.5 \times 10^{10}\):

1. Convert \(5.8 \times 10^7\) to \(10^{10}\):
\[
5.8 \times 10^7 = 0.0058 \times 10^{10}
\]

2. Now perform the subtraction:
\[
(4.5 \times 10^{10}) - (0.0058 \times 10^{10}) = (4.5 - 0.0058) \times 10^{10} = 4.4942 \times 10^{10}
\, \text{km}
\]

Thus, the correct response would be:
- **Subtract the distances by getting the same power of 10:** \((4.5 \times 10^{10}) - (5.8 \times 10^7) = (4.5 \times 10^{10}) - (0.0058 \times 10^{10}) = 4.49 \times 10^{10} \, \text{km}\)

Therefore, Neptune is approximately \(4.49 \times 10^{10}\) km further from the Sun than Mercury.