The Empire State Building weighs 730,000,000 pounds. How would you write the approximate weight in scientific notation?

Answer 1

To express the weight of the Empire State Building, which is 730,000,000 pounds, in scientific notation, you would first identify the significant figures and the power of ten.

1. Move the decimal point in 730,000,000 to the left until you have a number between 1 and 10. In this case, moving the decimal point 8 places to the left gives you 7.3.
2. Since you moved the decimal 8 places, you will multiply by ${10}^8$.

Thus, the weight of the Empire State Building in scientific notation is approximately $7.3\times {10}^8$ pounds.