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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.

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User Matusko
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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.

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