Ex: 52.73 x 384.12
Round to 50 x 400 = 20,000
so when you do the actual math you know that there are 5 places to the left of the decimal.
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Estimating will give an indication of the order of magnitude of the answer. The decimal point determines the order of magnitude.
If the two decimal numbers have x and y digits after the decimal points, then the product has (x + y) digits after the decimal point.
two.
Two places.
-- Ignore the decimal point; just multiply the two whole numbers. -- After the multiplication is done, put the decimal point back into the product. Put it in the right place so that the product has as many digits after the point as the original decimal had. If there aren't enough digits in the product to do that, add some zeros to the left end of it.