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Q: When you multiply a 3 digit number by a 2 digit number what is the greatest number of digits the product can have?

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The greatest number is 7.

Just multiply one pair of your numbers to give you a product, and then multiply their product by your third number.

222

24

98

Six.

32.

2

98,901

-- The greatest number you can write with those digits is 8,633 . -- If you're going to multiply them, then the order in which you put them makes no difference. The results of every multiplication will all be the same, regardless of their sequence ... just as the results would be if you add them.

Try the different numbers - there are only 11 after all - and multiply their digits. Or analyze the factors of the number 21.

no, it matters with the number not digits

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