My Output Box is Skipping the Set Increment from my For Loop, How do I fix?

I'm making a part gradually turn invisible when you click it, and then once fully invisible you can click it again and it turns visible again. You're supposed to be able to click it again and again, and it will repeatedly turn invisible/ visible over and over as long as you click it.

Here's my script:

transparencyPart = game.Workspace.transparencyPart


transparencyPart.ClickDetector.MouseClick:Connect(function()

if transparencyPart.Transparency == 0 then

    for i = 0, 1, .1 do

    transparencyPart.Transparency = i


    print(i)
    wait(.1)

    end


elseif transparencyPart.Transparency == 1 then

    for i = 1, 0, -.1 do

        transparencyPart.Transparency = i
        print(i)
        wait(.1)

    end 


end

end)

Now, this script works the first two clicks, it turns invisible, then visible again. The problem is in the output. After the second click, it turns visible again as wanted, and the output box counts down normally by 0.1 as the increment, UNTIL it counts down to 0.1 transparency. Then it suddenly jumps to 1.3877787807814e-16. The weird thing is the part stays completely visible at 0 transparency as if unaffected by the large number.

Heres my output box:

0 -- first click occurs
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1 -- end of first click
1 -- second click occurs
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1   -- next should be 0, instead it's this crazy number
1.3877787807814e-16

How can I fix this?