Math CentralQuandaries & Queries


Question from Nathaniel, a student:

The product of a 2-digit number and a 3-digit number is about 50 000 what are the products

Hi Nathaniel,

$50 000 = 2^4 \times 5^5 .$ The task is to arrange the 4 twos and 5 fives into two groups so that the product of the twos and fives in the first group is a two digit number and he product of the two and fives in the second group is a three digit number.


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