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It depends on the density of the material you are measuring. Teaspoons are a measure of volume (the total amount of physical space something takes up), whereas ounces are a measure of mass (the "weight" of something).
So, a teaspoon of material from a neutron star would weigh about 200 trillion ounces, due to the high density of neutron stars. However, a teaspoon of styrofoam would weigh less than an ounce, due to the low density of styrofoam.
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