There are 499 even numbers between 1 and 1000.
To understand why, let's consider the definition of "between." It implies that we exclude the numbers 1 and 1000 themselves.
- Even Numbers: Even numbers are integers divisible by 2.
- First Even Number (after 1): 2
- Last Even Number (before 1000): 998
To find the total number of even numbers, we can consider the sequence: 2, 4, 6, ..., 998. We can express each number in this sequence as 2 * n, where n is an integer.
So, we have:
- 2 = 2 * 1
- 4 = 2 * 2
- 6 = 2 * 3
- ...
- 998 = 2 * 499
Therefore, the sequence corresponds to 2 1, 2 2, 2 3, ... , 2 499. The number of terms in this sequence is 499 (from n=1 to n=499). Thus there are 499 even numbers between 1 and 1000.
