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When you put hydrogen and oxygen together, the electrons spend most of their time on oxygen since it is more electronegative than hydrogen. This causes there to be a "partial charge" on both hydrogen and oxygen. Since oxygen has the electrons spending more time on it, it is more negative than hydrogen. So in H2O, the hydrogens are slightly more positive than the oxygens. When water molecules come near each other, the slightly positive hydrogens are then attracted to the slightly negative oxygens, and you end up having hydrogen bonding.

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