84.9k views
3 votes
A rectangular region of land in a state park has a length of 10,000 meters and a width of 4.8 x 10^3 meters. What is the area of land in square meters. Write in scientific notation.

User Matusko
by
8.4k points

1 Answer

3 votes

To find the area of the rectangular region, we can multiply the length by the width.

1. Convert the width to scientific notation:

The width is given as 4.8 x 10^3 meters, which means 4.8 multiplied by 10 raised to the power of 3.

2. Multiply the length by the width:

The length is 10,000 meters.

So, the area is 10,000 meters multiplied by 4.8 x 10^3 meters.

3. Multiply the numbers and add the exponents:

10,000 multiplied by 4.8 gives us 48,000.

When multiplying numbers in scientific notation, we add the exponents. So, 10^3 multiplied by 10^3 gives us 10^(3+3) = 10^6.

4. Write the answer in scientific notation:

The area of the rectangular region is 48,000 x 10^6 square meters.

Therefore, the area of the land in scientific notation is 4.8 x 10^7 square meters.

I hope this helps, Let me know if you have any further questions.

User Lars Corneliussen
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories