Mt. Everest rises 54,768 feet in the air while Mt. Rushmore stretches a mere 8,976 feet. What is the difference in the height of these two mountains expressed in scientific notation?
The great salt lake covers about 45,800 mi^2. Lake tahoe covers about 7,725 mi^2. what is the total area covered expressed in scientific notation?
To find the difference in height between Mt. Everest and Mt. Rushmore using scientific notation, we subtract the height of Mt. Rushmore from the height of Mt. Everest and express the result in scientific notation.
1. Subtract: 54,768 feet - 8,976 feet = 45,792 feet
2. Convert the result to scientific notation:
- Move the decimal point to the left to have a number between 1 and 10.
- Count the number of places you moved the decimal point. If you moved the decimal point n places, then the power of 10 will be n.
- In this case, we moved the decimal point 4 places (from 45,792 to 4.5792), so the difference in height is:
4.5792 x 10^4 feet
Now, let's calculate the total area covered by the Great Salt Lake and Lake Tahoe using scientific notation:
1. Add: 45,800 mi^2 + 7,725 mi^2 = 53,525 mi^2
2. Convert the result to scientific notation:
- Move the decimal point to the left to have a number between 1 and 10.
- Count the number of places you moved the decimal point. If you moved the decimal point n places, then the power of 10 will be n.
- In this case, we moved the decimal point 4 places (from 53,525 to 5.3525), so the total area covered is:
5.3525 x 10^4 mi^2
Therefore, the height difference between Mt. Everest and Mt. Rushmore is 4.5792 x 10^4 feet, and the total area covered by the Great Salt Lake and Lake Tahoe is 5.3525 x 10^4 mi^2 in scientific notation.