find the product of the largest 5_digit number and and the smallest 4_digit number formed by the digits 2,1,0,4
assuming that all available digits must be used at least once:
largest : 44210
smallest: 1024
now multiply them
To find the product of the largest 5-digit number and the smallest 4-digit number formed by the digits 2, 1, 0, and 4, we need to determine the actual numbers and then multiply them.
Step 1: Arrange the digits in descending order to form the largest 5-digit number. The largest possible 5-digit number using these digits is 4_2_1_0, where the spaces represent other digits.
Step 2: Arrange the digits in ascending order to form the smallest 4-digit number. The smallest possible 4-digit number using these digits is 0_1_2_4, where the spaces represent other digits.
Now let's fill in the spaces to get the two numbers:
The largest 5-digit number: 42100
The smallest 4-digit number: 0124
Next, we can find the product of these two numbers:
42100 * 0124 = 5,138,400
So, the product of the largest 5-digit number and the smallest 4-digit number formed by the digits 2, 1, 0, and 4 is 5,138,400.