Ten numbers between 500 and 1000 which are divisible by 3

When a number is divisible by 3, the sum of its digits is also divisible by 3. Using this rule, we can find the numbers between 500 and 1000 that are divisible by 3.

Steps to find the numbers:

Step 1: Find the smallest three-digit number greater than or equal to 500 that is divisible by 3. This number is 501.

Step 2: Find the largest three-digit number less than or equal to 1000 that is divisible by 3. This number is 999.

Step 3: Find the first multiple of 3 after 501. This number is 504.

Step 4: Continue adding multiples of 3 until you have ten numbers between 500 and 1000 that are divisible by 3.

The ten numbers between 500 and 1000 that are divisible by 3 are:
- 501
- 504
- 507
- 510
- 513
- 516
- 519
- 522
- 525
- 528

Explanation:

To check if a number is divisible by 3, we add up its digits. If the sum is divisible by 3, then the number is divisible by 3. For example, 501 has digits 5, 0, and 1. Their sum is 6, which is divisible by 3, so 501 is divisible by 3. Similarly, we can check the other numbers in the list to confirm that they are all divisible by 3.

In conclusion, the ten numbers between 500 and 1000 that are divisible by 3 are 501, 504, 507, 510, 513, 516, 519, 522, 525, and 528.

501,504,507,510,513,516,519,522,525,528.