To find out how many 6-digit numbers there are, we first need to understand the range of 6-digit numbers. A 6-digit number must start with a digit from 1 to 9 (since it cannot start with 0), and the remaining five digits can each be from 0 to 9.
The smallest 6-digit number is 100000, and the largest is 999999. Therefore, the total number of 6-digit numbers can be calculated as follows:
- The first digit has 9 possibilities (1 through 9).
- The second, third, fourth, fifth, and sixth digits each have 10 possibilities (0 through 9).
Thus, the total number is:
Total = 9 (options for the first digit) × 10 × 10 × 10 × 10 × 10 (options for the remaining five digits)
This simplifies to:
Total = 9 × 105 = 900000
So, there are a total of 900,000 6-digit numbers.