There are 9,000 five-digit numbers divisible by 10.
Explanation
A number is divisible by 10 if its last digit is 0. Let's analyze the constraints for a 5-digit number:
- First digit: It can be any digit from 1 to 9 (9 possibilities). If it were 0, the number would have fewer than 5 digits.
- Second, third, and fourth digits: Each of these can be any digit from 0 to 9 (10 possibilities each).
- Fifth digit: Since the number must be divisible by 10, this digit must be 0 (1 possibility).
Therefore, the total number of 5-digit numbers divisible by 10 can be calculated as follows:
9 (choices for the first digit) 10 (choices for the second digit) 10 (choices for the third digit) 10 (choices for the fourth digit) 1 (choice for the fifth digit) = 9 10 10 10 1 = 9000.
