Question

A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field.

a rectangle with the bottom labeled 1.9 times 10 cubed feet and the right side labeled 3.1 times 10 cubed feet

Part A) If half of the field is used to grow crops, what is the area of the portion of the field that has crops growing? Show every step of your work.

Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units.

Part C) Explain how you chose the number of significant digits in the final answer.

Answer 1

Step-by-step explanation:

1.9*10^3 is the width (or 1900 ft.)

3.1*10^3 is the height (or 3100 ft.)

Part A) Since we already know that 1900 and 3100 is our length and height, and the area of a rectangle is lw=Area, that means that 3100*1900 is our area. The answer to that is 5890000. To find half that, you just divide by two which equals 2945000 ft.^2.

Part B) to write it into scientific notation, it means that you just count how many zeroes there are (there are 3), double it, and put the front number into a digit less than 10 (in this case, it is 2.945). Therefore, the answer is 2.945*10^6.

Part C) I chose it since those were the non-zero numbers in the normal number version.

I hope this helps!