Question

S

A national park in Florida is approximately x 108 square meters in area. A New York State Park
is approximately 2 x 10?square meters in area. Based on these areas, how many times larger is the
national park than the state par?

Answer 1

4. 35 times larger

Explanation:

Doing Question #4 Only

4.

Before we see this problem's solution. Lets get a background.

Suppose something has an area of "A" sq. meters.

and

Suppose another land has an area of "B" sq. meters.

and suppose A > B

If we want to know how many times A is larger than B, we simply have to divide the larger one (A) by the smaller one (B).

Now, onto our question:

We want to know how many times larger the national is than state park. So we divide the area of national by the area of state. That would be:

`(7*10^8)/(2*10^7)`

Since the numbers are in scientific notation, we look at the rule below on how to divide scientific notation numbers:

`(a*10^b)/(c*10^d)=((a)/(c))*10^(b-d)`

Now, we apply the rule:

`(7*10^8)/(2*10^7)\\=(7)/(2)*10^(8-7)\\=3.5*10^1\\=3.5*10\\=35`

So, the national park is 35 times larger than the state park.