Hi, I need help with this lab. I am confused. I need help with the Part 4.

In this lab, we will explore some floating point issues. Please complete the steps below in order.

Part 1: Demonstrating the problem - Using the Python IDLE, run the following from the shell window and observe what happens. print(.1+.1 == .2) print(.1+.1+.1 ==.3) print(.1+.1+.1 + .1 ==.4)

Part 2: Estimating the error - Use the IDLE to open up the file given to you in the Lab 2 folder. - Fill in the missing pieces of the code, as instructed in the file - Run the loop for 100 iterations. For how many numbers do you get the correct result? - Remove the print statement IN the loop - Run the loop for 10, 100 and 1000 iterations. Explore how the difference between what you should get and what you do get behaves as the number of iterations changes - Estimate how many iterations would be needed to have an error that is as large as the number you add.

Part 3: Estimating the scope of the problem - Using your code, find two more numbers between 0 and 1 for which there are also incorrect results for 100 iterations - Using your code, find two numbers for which the result is correct. - Do some research online to figure out the reason why some numbers that you add repeatedly end up in the correct result, and why some others are not

Part 4: One potential solution - Import the decimal package to your code - ADD to your file a second loop that does exactly the same as the first loop but now using a decimal number repeatedly. You will have to make sure that all operations are done using decimals - How does the error behave as you run the code for 10, 100 and 1000 iterations? Is it better or worse than using Pythons default floating datatype - Do some research on the decimal module, and figure out the reason for the result

Submit the code file for Part 4 that includes your observations and reasons for each of the parts at the top as a comment.