Amino Acid Residue
An amino acid residue is what remains of an amino acid once it has been joined into a chain and a molecule of water has been lost, and residue count is how peptide length is stated.
A residue is what is left of an amino acid after incorporation into a chain. Forming each peptide bond expels a molecule of water, so residue mass is the free amino acid mass minus about 18.02 daltons, and a peptide's mass is the sum of its residue masses plus one water for the free ends. This is why a chain is described as having residues rather than amino acids: the free molecules no longer exist once the bonds are made.
Residue count is the standard measure of peptide size. Native GLP-1 in its active form runs 30 residues, semaglutide 31, teriparatide 34 and insulin 51 across two chains, while the boundary the FDA uses to separate a peptide from a protein biologic sits at 40 amino acids. Positions are named by residue number, which is how modifications are specified: the alpha-aminoisobutyric acid at position 8 of semaglutide that blocks DPP-4 cleavage, or the acylated lysine at position 26.
Counting residues is also what lets mass spectrometry serve as an identity test. A predicted mass computed residue by residue is compared with the measured one, and a discrepancy matching a single residue mass points to a specific deletion or truncation rather than a generic impurity. Sequence coverage in peptide mapping is reported per residue for the same reason.
Numbering is where this goes wrong in practice. The same molecule can carry two schemes depending on the precursor it is referenced to, so GLP-1 positions are quoted either from proglucagon numbering or from that of the 7-36 fragment, and a modification described at position 8 in one convention is position 2 in the other. Reading a specification without checking the convention can make two identical compounds look different, or two different ones look the same.