From Steve Willoughby
- Pick any three-digit number and multiply it by any two-digit number. You want the largest possible product.
- Hopefully that wasn't too hard. Now select a number with five different digits (no repeats). How do you know that your answer is the largest possible product without calculating all the products?
- Now let's play a game: Roll a die (10-sided if you have one) to generate digits and place them in your three-digit times two-digit problem. What is the best place to put your first digit if it is a 7? What is the best strategy for playing this game?
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