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One one-hundredth of a gram is 1/100g or 0.01g. That is, if you divided a gram into 100 equal pieces, each one of the pieces is 0.01g
The common prefix for one hundredth is centi. For example, one hundredth of a metre is one centimetre. One hundredth of a gram is one centigram.
10 milligrams
Yes, a centimeter is on-hundredth of a meter. Likewise, a centigram is one-hundredth of a gram, and a centiliter is one hundredth of a liter. Centipedes, figuratively, have a hundred legs. And so on.
10 mg or 1 cg