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What is the arithmetic to convert 2 mg in 2 mL into units on a U-100 scale?

Asked 17 Jun 2026Modified 14 days agoViewed 3.1k times
22

Details up front: 2 mg · 2 mL.

This should be a straightforward calculation and I keep getting two different answers.

The numbers are arbitrary; the method is what I am after.

Can someone show the working rather than just the answer?

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askedamara_nwachukwu41k3817 Jun 2026

3 Answers

Accepted answer first, then by votes
15

Accepted answer

Worth being precise here: two people working through the same arithmetic independently should get the same answer, and if they do not, someone has made a unit error.

Worked example, because the general form is easier to trust once you have seen it once. Take a 10 mg vial and add 2 mL of diluent: the concentration is 10 ÷ 2 = 5 mg/mL. A 0.5 mg dose is 0.5 ÷ 5 = 0.1 mL. On a U-100 syringe, where 1 unit = 0.01 mL, that is 0.1 ÷ 0.01 = 10 units. Change the diluent to 1 mL and the same dose becomes 5 units — same dose, half the resolution.

Breaking it down further: if a 10 mg vial has 96.5 per cent content, you have 9.65 mg of peptide. Divide that by 2.00 mL and your concentration is 4.825 mg/mL, not 5.00 mg/mL, which is a 3.5 per cent systematic error in every dose calculation.

The insulin-unit standard U-100 means 100 units per millilitre, so one unit is 0.01 mL — this is the conversion that trips up more people here than any other single piece of arithmetic.

If in doubt, use more diluent and accept the shorter usable window.

edited 16 Jul 2026 by t_oyelaran — updated for the 2026 guidance change

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answered · acceptedt_oyelaran41k384 Jul 2026
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9

The part that matters: the common error is getting the concentration right but then misreading the syringe scale, which is why checking the barrel marking rather than your memory matters.

The rounding error accumulates if you round too many times — rounding concentration to 5.0, rounding the dose volume to 0.1 mL, rounding the unit reading to 10 — and the safest approach is to work the full precision and round only the final answer.

Dead space quantified: a fixed-needle insulin syringe holds roughly 3 to 5 µL in the hub and needle after the plunger bottoms out. A luer-lock syringe with a detachable needle holds 35 to 100 µL depending on the hub design. At 5 mg/mL that is 15 to 25 µg lost per draw on the insulin syringe and 175 to 500 µg on the luer-lock — which over ten draws is the difference between losing a rounding error and losing half a milligram.

Do the arithmetic twice, ideally with someone else doing it independently.

edited 3 Jul 2026 by Dr_Colm_Fitzhenry — tightened the wording; no substantive change

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answeredDr_Colm_Fitzhenry85k2482 Jul 2026
2Is there a reason to prefer the second method over the first, other than cost? – Dr_Tomas_Kral 4 months ago
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5

Dose arithmetic has three parts: concentration from vial content and diluent, volume from dose and concentration, and units from volume and syringe scale.

The concentration you actually work with is label claim times content fraction divided by actual diluent volume, which is usually not the same as the nominal concentration because content is usually not 100 per cent and you rarely measure the diluent volume to 0.1 mL precision.

More usefully, on filtration: a 0.22 µm syringe filter will remove particulates and organisms, and it will also adsorb a fraction of your peptide onto the membrane — with a low-binding PVDF or PES membrane the loss is typically a few per cent.

Write the arithmetic on the vial label. It costs nothing and removes the step where you reconstruct it from memory.

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answeredimani_dube19k2829 Jun 2026
7Good answer, but the confidence interval in the cited trial is wider than implied. – marcus_thorbjorn 6 months ago
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