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 ^ 1 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.
For this portfolio, you will make a poster, drawing, presentation/ ppt, google slides, or computer generated image that depicts the Earth and your newly discovered planet. You will use scientific notation to determine what is the diameter of your planet and the difference between the distance that the earth is from the sun and the distance that your planet is from the sun.
Be creative and arranged in an orderly manner.
What should your portfolio include:
Images of the Earth and your new planet.
Labels for the planets. Give your planet a name.
Clearly include both planets’ diameter and distance from the Sun.
In a short paragraph describe your planet and show your work using scientific notation where you find the diameter of your planet and the difference between the distance that the earth is from the sun and the distance that your planet is.
To create your portfolio, here are the steps you can follow:
Step 1: Create or find images of the Earth and your new planet. You can use clipart, illustrations, or even create your own drawings using any graphic design software.
Step 2: Label the planets. Give your new planet a creative and unique name. Make sure the labels are clear and easy to read.
Step 3: Determine the diameter of your planet using scientific notation. Since your planet is 30 times bigger than the Earth, you can multiply the Earth's diameter (7.9157 x 10^3 miles) by 3 x 10^1. This can be done by multiplying the coefficients and adding the exponents: (7.9157 x 3) x (10^3 x 10^1) = 23.7471 x 10^4.
You can convert this to scientific notation by moving the decimal point one place to the left and increasing the exponent by 1: 2.37471 x 10^5 miles. This is the diameter of your planet.
Step 4: Determine the difference between the distance that the Earth is from the sun and the distance that your planet is from the sun. The Earth's distance from the sun is 9.3 x 10^7 miles, and your planet's distance from the sun is 10^10 miles.
To find the difference, you can subtract the Earth's distance from the sun from your planet's distance from the sun using scientific notation: (10^10) - (9.3 x 10^7) = (10^10) - (0.93 x 10^8) = (10^10) - (0.093 x 10^9) = (10^10) - (9.3 x 10^9) = (10^10) - (10 x 10^9) = 1 x 10^10.
Step 5: Create a short paragraph describing your planet and showing your scientific notation calculations for the diameter and distance difference. You can include information about its size, distance from the sun, and any other interesting facts.
Step 6: Arrange all the elements on your poster, drawing, presentation, or computer-generated image in an orderly manner. Be creative and make sure the information is easily readable and understandable.
Step 7: Review your portfolio for accuracy and presentation quality. Make any necessary edits or improvements to ensure clarity and coherence.
That's it! By following these steps, you can create a visually appealing and informative portfolio showcasing your newly discovered planet using scientific notation.
My Portfolio: Scientific Notation in the Discovery of a New Planet
Introduction:
In this portfolio, I will present my amazing discovery of a previously unknown planet and use scientific notation to determine its diameter and distance from the Sun. I will also showcase images of the Earth and my new planet, provide labels for the planets, and describe my planet in a short paragraph.
Planet Description:
I am thrilled to introduce you to my newly discovered planet, which I have named "Stellara." Stellara is an exoplanet located in a distant solar system, much larger than Earth. It has a diameter that is 30 times or 3 x 10^1 bigger than the diameter of our planet. Stellara is a rocky planet with a unique atmosphere, and it is situated at a considerable distance from its star.
Calculations:
1. Determining the Diameter of Stellara:
The Earth has a diameter of 7,917.5 miles or 7.9157 x 10^3 miles. As Stellara is 30 times bigger than Earth's diameter, we can calculate the diameter of Stellara as follows:
Diameter of Stellara = Diameter of Earth x 30 = 7.9157 x 10^3 miles x 30 = 2.37 x 10^5 miles
Therefore, the diameter of Stellara is 2.37 x 10^5 miles.
2. Finding the Difference in Distance from the Sun:
The Earth is approximately 93,000,000 miles or 9.3 x 10^7 miles away from the Sun. In contrast, Stellara is much farther, located at a distance of 10,000,000,000 miles or 10^10 miles from its star. To find the difference between the two distances, we can use the subtraction method with scientific notation:
Difference = Distance of Stellara - Distance of Earth
Difference = 10^10 - 9.3 x 10^7
Difference = 10^10 - 0.93 x 10^8
Difference = 9.007 x 10^9 miles
Therefore, the difference between the distance that the Earth is from the Sun and the distance that Stellara is, is 9.007 x 10^9 miles.
Visual Representation:
Please refer to the images provided below. The first image depicts the Earth, labeled "Earth," with its diameter of 7.9157 x 10^3 miles and a distance from the Sun of 9.3 x 10^7 miles. The second image showcases Stellara, labeled "Stellara," with its diameter of 2.37 x 10^5 miles and a distance from the Sun of 10^10 miles.
[Insert Image 1: Earth]
[Insert Image 2: Stellara]
Conclusion:
In conclusion, the discovery of Stellara, a planet with a diameter 30 times bigger than Earth's diameter, has been an exhilarating experience. Using scientific notation, I determined that Stellara's diameter is 2.37 x 10^5 miles, and the difference between its distance from the Sun and that of Earth is 9.007 x 10^9 miles. Stellara's unique characteristics and significant distance from its star make it a fascinating celestial body worth exploring further.
To find the diameter of your planet, we know that it is 30 times or 3 x 10^1 bigger than the diameter of the Earth. The diameter of the Earth is 7,917.5 miles or 7.9157 x 10^3 miles. To find your planet's diameter, we multiply the diameter of the Earth by 30.
7.9157 x 10^3 miles * 3 x 10^1 = (7.9157 * 3) x (10^3 * 10^1) = 23.7471 x 10^4 miles = 2.37471 x 10^5 miles
Therefore, your planet's diameter is 2.37471 x 10^5 miles.
Regarding the difference between the distance of your planet from the Sun and the Earth's distance from the Sun, we know that the Earth is about 93,000,000 miles or 9.3 x 10^7 miles away from the Sun. Your planet's distance from the Sun is 10,000,000,000 miles or 10^10 miles. To find the difference, we subtract the Earth's distance from the Sun from your planet's distance from the Sun.
10^10 miles - 9.3 x 10^7 miles = (10^10 - 9.3 x 10^7) miles
To subtract values with different exponents, we need to convert one of the values to have the same exponent as the other.
10^10 - 9.3 x 10^7 = 10^10 - 0.093 x 10^10 = (1 - 0.093) x 10^10 = 0.907 x 10^10 miles
Therefore, the difference between the distance that the Earth is from the Sun and the distance that your planet is from the Sun is 0.907 x 10^10 miles.
For your portfolio, create images of the Earth and your new planet. Label both the planets with their respective names. Include the diameter of each planet and the distance from the Sun for both. In a short paragraph, describe your planet and explain the calculations you used to determine its diameter and the difference in distance from the Sun compared to the Earth.