Question

The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?

Answer 1

`8.182X10^8 $pounds`

a=8.182 and b=8

Explanation:

Weight of the Empire State Building =
`7.3X 10^8` pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

=
`8.82 X 10^7`

The addition of the two:

`=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds`

Comparing with the form:
`aX10^b`

a=8.182 and b=8