Pre Algebra Unit 4 Scientific Notation Alternate Portfolio You are a Scientist and have just made an amazing discovery of a previously unknown planet with a diameter that is 30 times or 3 x 10^ 1 bigger than the diameter of the Earth. Your planet's distance from the Sun is 10,000,000,000 miles or 10^10.

Information to know and task to complete: The Earth has a diameter of 7,917.5 miles or 7.9157 x 10 ^3 miles. If your planet is 30 times or 3 x 10 A1 bigger than the diameter of the Earth, what is your planet's diameter?

The Earth is about 93,000,000 miles or 9.3 x 10^7 away from the sun.

Your planet's distance from the Sun is 10,000,000,000 miles or 10^10. Use what you have learned about subtraction with scientific notation to find the difference between your planet's distance from the Sun and the Earth's distance from the Sun.

Show your work using scientific notation where You find the diameter of your planet and the difference between the distance that earth is from the sun and the distance that your planet is.

1 answer

To find the diameter of your planet, you need to multiply the Earth's diameter by 30.

Earth's diameter: 7.9157 x 10^3 miles
Multiply by 30: (7.9157 x 10^3) x 30 = 2.37471 x 10^5 miles

So, your planet's diameter is 2.37471 x 10^5 miles.

To find the difference between the distance that the Earth is from the Sun and the distance that your planet is, you need to subtract the Earth's distance from your planet's distance.

Earth's distance: 9.3 x 10^7 miles
Your planet's distance: 10^10 miles

Subtract: (10^10) - (9.3 x 10^7) = (10^10 - 9.3 x 10^7) = 9.99907 x 10^9 miles

So, the difference between the distance that the Earth is from the Sun and the distance that your planet is 9.99907 x 10^9 miles.
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