Question

If Earth was 10 times farther away from the sun than it is now, which planet would be closest to? (Assume all the planets are aligned with the sun and are on the same side of the sun.) Compare Earth's new distance to that planet. How far apart would they be in standard notation? How far apart in scientific notion? Show your work.

Answer 1

it would be closer to Saturn

standard notation = 38,800,000 miles

scientific notation = 3.88×
`10^(7)`

Explanation:

Answer 2

- The Earth will be closest to Saturn.

- The Earth and Saturn will be 38,800,000 miles apart in standard notation.

- The Earth and Saturn will be 3.88 x
`10^7` miles in scientific notation.

Step-by-step explanation:

Let's first investigate the distance of each planet to the sun:

- Mercury is 35,980,000 miles form the Sun

- Venus is 67,240,000 miles form the Sun

- Earth is 92,960,000 miles form the Sun

- Mars is 141,600,000 miles from the Sun

- Jupiter is 483,800,000 miles from the Sun

- Saturn is 890,800,000 miles from the Sun

- Uranus is 1784,000,000 miles form the Sun

- Neptune is 2793,000,000 miles from the Sun

Now we can multiply the distance from the Sun to the Earth by 10;

Earth 10 times further = 10 x 92,960,000 miles = 929,600,000 miles

Since the closest number to 929,600,000 is 890,800,000 (the distance form the Sun to Saturn), the Earth will be closest to Saturn.

Now, to find how far the Earth will be from Saturn, we just need to subtract the distance from the Sun to Saturn from the distance from the Sun to the Earth (10 times further):

Distance between Earth and Saturn = 929,600,000 miles - 890,800,000 miles = 38,800,000 miles (in standard notation)

Finally, to convert that distance to scientific notation, we just need to move the decimal point to the right and multiply by a power of 10 for each place we move it:

38,800,000 miles = 3.88 x
`10^7` miles