Question

II.
What are the minimum and maximum numbers of digits the product
of two decimal n-digit integers can have?

Answer 1

Answer:

The minimum and maximum number of digits the product of two decimal n-digit integers can have will be 2n and 2n+1, unless n includes significant zeroes, or not, to the right. For example, if n= 90 or 0.090 the included zero at the right, for 0.090, is a significant zero but the zero following 90 is significant only if stated to be so. Also, multiple zeros to the left, beginning in units place, needs to be stated:

n= 9,000 must be stated as accurate to one, two, three or four significant digits, however, 9,000.0 is accurate to five places without further explanation.