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?
mt. everest rise 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 expresses in scientific notation?
To express the total area covered by the Great Salt Lake and Lake Tahoe in scientific notation, follow these steps:
1. Add the areas of the two lakes together: 45,800 mi^2 + 7,725 mi^2 = 53,525 mi^2.
2. Write the result in scientific notation by moving the decimal point until there is one non-zero digit to the left of it:
- The decimal point in 53,525 can be moved to the left three times to obtain 5.3525.
- Since we moved the decimal point three places to the left, the exponent for the power of 10 will be 3.
Therefore, the total area covered by the Great Salt Lake and Lake Tahoe expressed in scientific notation is 5.3525 x 10^3 mi^2.
To express the difference in height between Mount Everest and Mount Rushmore in scientific notation, follow these steps:
1. Calculate the difference between the heights of the two mountains: 54,768 feet - 8,976 feet = 45,792 feet.
2. Write the result in scientific notation by moving the decimal point until there is one non-zero digit to the left of it:
- The decimal point in 45,792 can be moved to the left four times to obtain 4.5792.
- Since we moved the decimal point four places to the left, the exponent for the power of 10 will be 4.
Therefore, the difference in height between Mount Everest and Mount Rushmore expressed in scientific notation is 4.5792 x 10^4 feet.