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Maybe I didn't understand the game correctly, but from my understanding productivity modules reduce the amount of resources needed to craft.

Obviously I put them in a rocket silo, who wouldn't?

I did this with Tier 1 Modules (normal quality) and put in 43 of each component to craft a rocket and with +16% productivity the math worked really well.(43 * 2% progress + 43 * 16% productivity = a shiny new rocket)

After I build my first space station, got myself some Space Science Packs and unlocked productivity tier 2, I made 4 of them and put them into my silo, in the end it simply an upgrade.
If they work like shown in the tool tip: "Productivity +6%" I should only need 38 (0.06 * 4 * 50 = 12) components each to craft a rocket, right?

As it turns out I need 40 and with some math this turns out to be exactly +5% productivty instead of +6%

Maybe it's just me, or am I getting scammed?

2 Screenshots down below.

Thanks for the report however your understanding is wrong.

Its not that productivity modules reduce amount of resources needed to craft. They increase amount of products given for a given craft.

Under your understanding, a productivity of +100% would mean you do not need to provide ingredients at all which is incorrect. +100% productivity means machine will produce twice as many products for the same amount of ingredients. 4*6% bonus gives you +24% extra, so from 40 sets of ingredients you can expect 40 + (40 * 0.24) = 49.6 products on average, which means it will not be enough to complete all the rockets per 40 ingredients consumed (bonus progress will not finish unless it started at a value above 0.4).

I see, thanks for clarification.
It's interesting because with tier 1 moldules it worked like I mentioned every time I lauched a rocket, like at least 5-10 times in a row.
Maybe that's why I got confused.

EDIT:
Oh I see each cycle is 1.16 progress (kinda) which is 43 * 1.16 = 49,88 but I need 50 to finish the rocket, but the extra production is carrying over to the next step.
So I must have gotten 44 * 1.16 = 51,04 on my very first rocket, but for the next rocket I only need 50 - 1.04 = 48.96 which is less then 49.88 from 43 parts to finish it and my surplus keeps my demand of rocketparts below 44 for multiple rockets in a row.