using digit 1,2,3,4 and 5 to form a 2-digit and a 3 digit number so that the product is the least product possible. using each digit only once
Clearly the 3 digit number should start with 1 to be as small as possible
then the 2ditit should start with a 2
logical choices choices:
134 25 -- 3350
135 24 -- 3240
145 23 -- 3335
looks like 135 and 24
To form a 2-digit and a 3-digit number using the digits 1, 2, 3, 4, and 5 so that the product is the least possible, we need to consider the concepts of place value and digit order.
For the two-digit number, we want to place the smallest digit as the tens digit and the second smallest as the ones digit. Since we want the least product, we should choose 1 as the tens digit and 2 as the ones digit. Therefore, the two-digit number is 12.
For the three-digit number, we want to place the smallest digit as the hundreds digit, the second smallest as the tens digit, and the largest as the ones digit. Again, to achieve the least product, we should choose 1 as the hundreds digit, 3 as the tens digit, and 5 as the ones digit. Therefore, the three-digit number is 135.
So, the two-digit number is 12, and the three-digit number is 135.