Question

Calculate the difference between each three-digit number (with non-zero digits) and the product of its digits. Find the largest difference among these results.

(A) 110
(B) 270
(C) 902
(D) 910
(E) 927

Answer 1

To calculate the difference between each three-digit number and the product of its digits, find the value of each number, subtract the product of its digits from the number, and compare the differences to find the largest.

Step-by-step explanation:

To calculate the difference between each three-digit number and the product of its digits, we need to find the value of each number and then subtract the product of its digits from the number itself. Let's take the example of the number 456:

1. The value of the number is 456.
2. The product of its digits is 4 * 5 * 6 = 120.
3. Subtracting the product from the number: 456 - 120 = 336.

Repeat this process for all three-digit numbers and find the largest difference among the results to get the answer.