Question

1) In scientific notation, what is the number of gallons of water in LakeOntario?08The Atlantic Ocean region containsapproximately 2* 10 gallons of water. It isestimated that Lake Ontario hasapproximately 400,000,000,000,000 gallonsof waterA) 4x100B) 4x 1012) 4x 1014D) 4* 10162) In terms of gallons of water, how many Lake Ontarios Would it take tofill the Atlantic Ocean region with water?A) 5B) 50C) 500D)5000

Answer 1

In order to express this amount in scientific notation, we have to take the first digit:

`400,000,000,000,000=4\cdot100,000,000,000,000`

Then, for the multiple of 10, we count the number of zeros as:

`\begin{gathered} 10=10^1 \\ 100=10^2 \\ 1,000=10^3 \\ 1,000,000=10^6 \end{gathered}`

If we count the zeros, we have 14 zeros, so we can write:

`\begin{gathered} 100,000,000,000,000=10^(14) \\ 4\cdot100,000,000,000,000=4\cdot10^(14) \end{gathered}`

The answer is C) 4 * 10^(14)

2) We have to divide the number of gallons of water in the Atlantic ocean (A=2*10^16) by the number of gallons in the Lake Ontario (O=4*10^14).

We can do this as: