There are 450 three-digit numbers that are divisible by 2.
Here's a breakdown of how we arrive at that answer:
- Understanding Three-Digit Numbers: Three-digit numbers range from 100 to 999.
- Divisibility by 2: A number is divisible by 2 if it is even (ends in 0, 2, 4, 6, or 8).
- First and Last Divisible Numbers: The first three-digit number divisible by 2 is 100, and the last is 998.
- Counting the Even Numbers: We can think of this as an arithmetic sequence where the first term is 100, the common difference is 2, and we need to find the number of terms.
- Alternatively, we can recognize that exactly half of all the three-digit numbers are divisible by two. There are 900 total three-digit numbers (999 - 100 + 1 = 900). Thus 900 / 2 = 450 three digit numbers are divisible by two.
- Calculation:
- Using the sequence: ((998 - 100)/2) + 1 = (898/2) + 1 = 449+1= 450.
- Reference Confirmation: The provided reference states, "So there are 450 three digit numbers completely divisible by 2." This confirms our calculation.
Therefore, there are 450 three-digit numbers that are divisible by 2.
