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A three-digit number has all digits nonzero. These digits are multiplied together and then this product is subtracted from the original number.What is the largest possible value of this difference?890890901901909909910910990

Question

A three-digit number has all digits nonzero. These digits are multiplied together and then this product is subtracted from the original number.What is the largest possible value of this difference?890890901901909909910910990

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Solution

The question seems to be asking for the largest possible difference between a three-digit number and the product of its digits. Here's how you can solve it:

Step 1: Understand that the largest three-digit number is 999. However, this number won't work because it includes a zero, and the problem specifies that all digits must be nonzero.

Step 2: The next largest three-digit number with all digits nonzero is 998.

Step 3: Multiply the digits together. 9 * 9 * 8 = 648.

Step 4: Subtract the product of the digits from the original number. 998 - 648 = 350.

Therefore, the largest possible value of this difference is 350.

This problem has been solved

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