How many three-digit numbers are divisible by 11? Also find the middle term.

To find how many three-digit numbers are divisible by 11, you can use the following approach:

The first three-digit number divisible by 11 is 110, and the last three-digit number divisible by 11 is 990. To find how many numbers are in between, you can subtract the two and then divide by 11:

Last three-digit number divisible by 11 - First three-digit number divisible by 11
= 990 - 110
= 880

Now, to find the number of three-digit numbers divisible by 11, you can divide 880 by 11:

880 ÷ 11 = 80

So, there are 80 three-digit numbers that are divisible by 11.

To find the middle term, you can simply find the middle number in this range. Since there are 80 numbers, the middle term will be the 40th number in the list. To find it, you can start with the first three-digit number divisible by 11 (110) and add 11 to it 39 times:

110 + 11*39 = 110 + 429 = 539

So, the middle term is 539.