CHAP. XIII. Multiplication of Decimals.
THis is likewise the very same Operation with that of Multiplying plain Integers, save onely, when
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THis is likewise the very same Operation with that of Multiplying plain Integers, save onely, when
all the work is ended, there must be as many places of Parts, or Fractions in the Product, as there were places both in the number multiplied, and in the number multi∣plying. As in the following Example, there are two places cut off in the number multiplied, and one in the number multiplying; Therefore there are three places cut off in the Product. And in the second Example, be∣cause there are three places cut off in the Multiplicand, and two in the Multiplicator: therefore there are five cut off in the Product.
In the 4 Example, because there are no Integers, the Product is 783/1000
In the 5 Example, because there do not arise but five places in the Product, viz., 01875 and yet by the Rule there ought to be six places cut off, therefore two Cy∣phers
must be prefixt to make up the number of six pla∣ces, viz. 001875/1000000