Question

A farmer is planting crops in one half of a rectangular field. The full width is 2.7x10^3 ft and the full height is 3.5x10^3 ft. What is the area of the part of the field that the crops are grown on? Write the answer in scientific notation with the correct number of significant digits and label with the correct units.
Explain how you chose the number of significant digits in the final answer
Show your work.

Answer 1

The area of the crops, in scientific notation, is:  4.725x10^6  ft^2

How to find the area in scientific notation?

We know that for a rectangle of width W and height H, the area is:

A = W*H

In this case, we know that:

W = 2.7x10^3 ft

H =  3.5x10^3 ft

Replacing that in the area equation, we get:

A = (2.7x10^3 ft)*(3.5x10^3 ft)

We can simplify that as:

A = (2.7*3.5)x(10^3*10^3) ft^2

A = 9.45x10^(3 + 3) ft^2

A = 9.45x10^6  ft^2

And the crops are in half of that area:

a = (9.45x10^6  ft^2)/2 = 4.725x10^6  ft^2

Why I use three significant digits? because the precision of the measurements is of the order of 10^3, which is way smaller than the order of the area, 10^6.

If you want to learn more about scientific notation:

brainly.com/question/5756316

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