Question

The Earth is approximately
`1.08 * 108` km from the Sun and
`3.8 * 105` km from the Moon. How much further is it from the Earth to the Sun, than from the Earth to the Moon? Write your answer in standard form.

Answer 1

1.0762 × 10⁸ km

Explanation:

To find how much further it is from the Earth to the Sun than from the Earth to the Moon, we can subtract the distance from the Earth to the Moon from the distance from the Earth to the Sun.

Further Distance = Distance from Earth to Sun - Distance from Earth to Moon

In this case:

We have

Distance from Earth to Sun =
`1.08 * 10^8`km

Distance from Earth to Moon =
`3.8 * 10^5`

Now,

Substitute the given value and simplify:

`\begin{aligned} \textsf{Further Distance}& =\sf 1.08 * 10^8 km - 3.8 * 10^5 km \\\\ &= \sf 1.08 * 10^8 - 0.0038 * 10^8 km \\\\ &= \sf (1.08 - 0.0038) * 10^8 km \\\\ &= \sf 1.0762 * 10^8 km \end{aligned}`

Therefore, the Earth is approximately 1.0762 × 10⁸ km further from the Sun than from the Moon.