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

Fill the missing pieces of code

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

I have done this part and my code is here

#ADD COMMENTS AS APPROPRIATE

sum = 0

toAdd = .1

max = 100

for i in range (0, max, 1):

sum = sum + toAdd

print(sum, i)

#ADD A PRINT STATEMENT HERE THAT PRINTS (WHEN THE LOOP IS FINISHED)

# THE NUMBER OF ITERATIONS,

#THE NUMBER YOU ADDED,

#THE SUM YOU CALCULATED,

#AND THE DIFFERENCE BETWEEN THE CORRECT RESULT AND YOUR SUM

print("Number of iterations: ", max)

print("Number added: ", toAdd)

print("Calculated sum: ", sum)

print("Difference between correct sum and calculated sum: ", (max * toAdd - sum))

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

Please part 4 in python only. ADD comments so that I can understand. Thanks.