Mercury is 5.8×107
5.8
×
10
7
km from the sun. Neptune is 4.5×1010
4.5
×
10
10
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
(
5.8
×
10
7
)
+
(
4.5
×
10
10
)
=
10.3
×
10
17
=
1.03
×
10
18
km
Add the distances together: (5.8×107)+(4.5×1010) = 10.3×1017=1.03×1018
(
5.8
×
10
7
)
+
(
4.5
×
10
10
)
=
10.3
×
10
17
=
1.03
×
10
18
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
(
4.5
×
10
10
)
−
(
5.8
×
10
7
)
=
(
4.5
×
10
10
)
−
(
0.0058
×
10
10
)
=
4.49
×
10
10
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
(
4.5
×
10
10
)
−
(
5.8
×
10
7
)
=
(
4.5
×
10
10
)
−
(
0.0058
×
10
10
)
=
4.49
×
10
10
km
Multiply the distances: (5.8×107)⋅(4.5×1010) = (5.8×4.5)⋅(107+10)=26.1×1017=2.61×1018
(
5.8
×
10
7
)
⋅
(
4.5
×
10
10
)
=
(
5.8
×
4.5
)
⋅
(
10
7
+
10
)
=
26.1
×
10
17
=
2.61
×
10
18
km
Multiply the distances: (5.8×107)⋅(4.5×1010) = (5.8×4.5)⋅(107+10)=26.1×1017=2.61×1018
(
5.8
×
10
7
)
⋅
(
4.5
×
10
10
)
=
(
5.8
×
4.5
)
⋅
(
10
7
+
10
)
=
26.1
×
10
17
=
2.61
×
10
18
km
Divide the distances: 4.5×10105.8×107=0.78×103 =7.8×102
4.5
×
10
10
5.8
×
10
7
=
0.78
×
10
3
=
7.8
×
10
2
km
Divide the distances: 4.5×10105.8×107=0.78×103 =7.8×102
4.5
×
10
10
5.8
×
10
7
=
0.78
×
10
3
=
7.8
×
10
2
km
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page 15 of 15
The correct answer is:
Subtract the distances by getting the same power of 10: (4.5×10^10)−(5.8×10^7) =(4.5×10^10)−(0.0058×10^10)=4.49×10^10
So, Neptune is 4.49×10^10 km further from the sun than Mercury.