College

We appreciate your visit to A grain of sand has a mass of approximately tex 6 times 10 2 tex grams Earth has a mass of approximately tex 6 times. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A grain of sand has a mass of approximately [tex]6 \times 10^{-2}[/tex] grams. Earth has a mass of approximately [tex]6 \times 10^{28}[/tex] grams. How many times the mass of the grain of sand is the mass of Earth?

A. [tex]1 \times 10^{-50}[/tex]
B. [tex]1 \times 10^{-14}[/tex]
C. [tex]1 \times 10^{20}[/tex]
D. [tex]1 \times 10^{26}[/tex]

Answer :

To find out how many times the mass of a grain of sand is the mass of Earth, you can follow these steps:

1. Identify the Masses:
- The mass of a grain of sand is approximately [tex]\(6 \times 10^{-2}\)[/tex] grams.
- The mass of Earth is approximately [tex]\(6 \times 10^{28}\)[/tex] grams.

2. Set Up the Ratio:
- You want to find how many times the mass of a grain of sand fits into the mass of Earth. This can be found by dividing the mass of Earth by the mass of the grain of sand.

3. Perform the Division:
[tex]\[
\text{Ratio} = \frac{\text{Mass of Earth}}{\text{Mass of grain of sand}} = \frac{6 \times 10^{28}}{6 \times 10^{-2}}
\][/tex]

4. Simplify the Calculation:
- The numbers "6" in the numerator and denominator cancel out:
[tex]\[
\frac{6}{6} = 1
\][/tex]
- This leaves you with:
[tex]\[
10^{28 - (-2)} = 10^{28 + 2} = 10^{30}
\][/tex]

5. Conclusion:
- The mass of Earth is [tex]\(1 \times 10^{30}\)[/tex] times the mass of a grain of sand.

Therefore, Earth’s mass is [tex]\(1 \times 10^{30}\)[/tex] times that of a grain of sand.

Thanks for taking the time to read A grain of sand has a mass of approximately tex 6 times 10 2 tex grams Earth has a mass of approximately tex 6 times. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada