Use the digits 9, 8, 7, 6, 5 and 4 each once to make two three-digit numbers that will produce the maximum product when multiplied.
Use the digits 9, 8, 7, 6, 5 and 4 each once to make two three-digit numbers that will produce the maximum product when multiplied.
My best guess would be 976 x 854
To find the two three-digit numbers that will produce the maximum product, we need to consider the arrangement of the digits.
1. Start by arranging the digits in descending order: 9, 8, 7, 6, 5, 4.
2. The first three digits will form the first three-digit number, and the remaining three digits will form the second three-digit number.
3. Since we aim to obtain the maximum product, we want to maximize the digits in the higher place values. Therefore, we want to place the larger digits in the hundred's place and the smaller digits in the ten's and one's places.
4. Arrange the digits in descending order for the first three-digit number: 987.
5. Arrange the remaining digits in descending order for the second three-digit number: 654.
6. The two three-digit numbers are 987 and 654.
7. Multiply these two numbers: 987 * 654 = 645,618.
Therefore, the two three-digit numbers that will provide the maximum product when multiplied are 987 and 654, and the product is 645,618.