Highest 2-digit number = 99
Highest 1-digit number = 9
Highest possible sum from 2, 2-digit numbers = 198
Highest possible sum from 2, 1-digit numbers = 18
It is 891.
You will get the greatest product if you choose the greatest possible numbers in both cases, i.e., 9 x 99.
9 times the number
Since the greatest digit is 9 and the greatest 2-digit number is 99, the product of them is 891.
2 digit number
It is 891.
99x9999=989901
-2
9999 is the 4-digit number and 999 is the 3-digit number.
You will get the greatest product if you choose the greatest possible numbers in both cases, i.e., 9 x 99.
9 times the number
891 is the largest.
Since the greatest digit is 9 and the greatest 2-digit number is 99, the product of them is 891.
2 digit number
999900
2
Six.