How many integers are there between 300 and 600 that are divisible by 9

To find the number of integers between 300 and 600 that are divisible by 9, follow these steps:

1. Find the first number greater than 300 that is divisible by 9. This is done by dividing 300 by 9 and rounding up to the nearest whole number. Then multiply this number by 9. The result is 306.

2. Find the last number less than 600 that is divisible by 9. This is done by dividing 600 by 9 and rounding down to the nearest whole number. Then multiply this number by 9. The result is 594.

3. Now, to find the total number of integers divisible by 9 between 300 and 600, subtract the smaller number (306) from the larger number (594) and divide by 9, then add 1. The reason for adding 1 is to include both the start and end numbers in the count.

So, (594 - 306) / 9 + 1 = 32 + 1 = 33.

Therefore, there are 33 integers between 300 and 600 that are divisible by 9.