Question

On a certain​ planet, Continent X has area 6.63 times 10 Superscript 8 square miles and Continent Y has area  6.81 times 10 Superscript 8 square miles. Which continent is​ larger? By how many square miles is its area​ greater?
Question content area bottom
Part 1
Select the correct choice below and fill in the answer box to complete your choice.
​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)
A.
The area of Continent Upper Y is
  
enter your response here square miles greater than the area of Continent Upper X.
B.
The area of Continent Upper X is
  
enter your response here square miles greater than the area of Continent Upper Y.

Answer 1

To find which continent is larger and by how much, we can compare their areas.

The area of Continent X is:
\[
A_X = 6.63 \times 10^8 \text{ square miles}
\]

The area of Continent Y is:
\[
A_Y = 6.81 \times 10^8 \text{ square miles}
\]

Now we need to determine which continent is larger. Since \( 6.81 \) is greater than \( 6.63 \):

1. Continent Y is larger than Continent X.

Next, we calculate how much larger Continent Y is compared to Continent X:
\[
\text{Difference} = A_Y - A_X = (6.81 \times 10^8) - (6.63 \times 10^8)
\]

Subtracting the two areas:
\[
\text{Difference} = (6.81 - 6.63) \times 10^8 = 0.18 \times 10^8 \text{ square miles}
\]

To express this in proper scientific notation:
\[
0.18 \times 10^8 = 1.8 \times 10^7 \text{ square miles}
\]

So, we can write:
- Continent Y is larger.
- The area of Continent Y is \(1.8 \times 10^7\) square miles greater than the area of Continent X.

### Final Answer:

A. The area of Continent Y is \(1.8 \times 10^7\) square miles greater than the area of Continent X.