Muon decay keeps electron-family and muon-family ledgers separate. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Electron-family number cancels

The electron-family output is 1 plus -1 plus 0, giving 0.

1+1+0=01+-1+0=0
Muon decay ledgerLepton-family ledgers close separately.muonelectronanti-nu_enu_muQ3=-3B3=0Le=0Lmu=1Q3=-3B3=0Le=1Lmu=0Q3=0B3=0Le=-1Lmu=0Q3=0B3=0Le=0Lmu=1accepted

Muon-family number remains one

The muon-family input is 1 and the output is 0 plus 0 plus 1.

1=0+0+11=0+0+1
Muon decay ledgerLepton-family ledgers close separately.muonelectronanti-nu_enu_muQ3=-3B3=0Le=0Lmu=1Q3=-3B3=0Le=1Lmu=0Q3=0B3=0Le=-1Lmu=0Q3=0B3=0Le=0Lmu=1accepted