Introduction:

In this question, we are asked to find the multiples of 11 between 30 and 40. To find the multiples of 11, we need to identify the numbers that can be divided evenly by 11.

Method:

To find the multiples of 11 between 30 and 40, we can follow the steps below:

Step 1: Identify the first multiple of 11 greater than or equal to 30.
Step 2: Identify the last multiple of 11 less than or equal to 40.
Step 3: List all the multiples of 11 between the first and the last multiple.

Step 1: Identify the first multiple of 11 greater than or equal to 30:
To find the first multiple of 11 greater than or equal to 30, we can start by dividing 30 by 11:
30 ÷ 11 = 2 remainder 8

Since the remainder is 8, we need to add 3 to 30 to get the next multiple of 11:
30 + 3 = 33

Therefore, the first multiple of 11 greater than or equal to 30 is 33.

Step 2: Identify the last multiple of 11 less than or equal to 40:
To find the last multiple of 11 less than or equal to 40, we can divide 40 by 11:
40 ÷ 11 = 3 remainder 7

Since the remainder is 7, we need to subtract 4 from 40 to get the last multiple of 11:
40 - 4 = 36

Therefore, the last multiple of 11 less than or equal to 40 is 36.

Step 3: List all the multiples of 11 between the first and the last multiple:
The multiples of 11 between 33 and 36 are:
33, 44, 55

Therefore, the multiples of 11 between 30 and 40 are 33, 44, and 55.

Conclusion:

The multiples of 11 between 30 and 40 are 33, 44, and 55.