The H3O+ ion concentration in water is 1/10000000 molar.The degree of ionisation of H2O is? If given molarity of pure water is 55.5Molar.

If you mean by degree of ionization the proportion of molecues ionized, then if

H3O+= 1E-7 ions/liter, that implies the OH- is the same, so you have 2E-7 ions/liter.

In a liter, you have 55.5 moles of water, so you have
molecules=avagradro'sNumber*55.5

degree of ionization then is

numberions/numbertotalmolecues
go figure. It is not much, and doesn't carry electricity like a copper wire.