Question

If the height of Mount Everest is about 8.8×10^3 meters, and the height of the Empire State Building is about 3.8×10^2 meters, which of these statements is true?

A.There is no way to compare these heights
B.Mount Everest is about 40 times as tall as the Empire State Building
C.Mount Everest is about 23 times as tall as the Empire State Building
D.The Empire State Building is about 23 times as tall as Mount Everest

Answer 1

The answer is C. You just divide 8.8 by 3.8 and 10^3 by 10^2 and put those together. (This is how you generally divide with scientific notation)

Answer 2

Option C is the correct answer.

Explanation:

Height of Mount Everest = 8.8 x 10³ m = 8800 m

Height of the Empire State Building = 3.8 x 10² m = 380 m

`\frac{\texttt{Height of Mount Everest}}{\texttt{Height of the Empire State Building}}=(8800)/(380)\\\\\frac{\texttt{Height of Mount Everest}}{\texttt{Height of the Empire State Building}}=23.16`

Height of Mount Everest = 23 x Height of the Empire State Building.

So, Mount Everest is about 23 times as tall as the Empire State Building

Option C is the correct answer.