Students are asked to add one tenth and 0.1. Several different answers were submitted: 1.1, 0.11, 0.2, 0.21, and 10.1. For each response, write a decimal number sentence that would produce the answer.

1. 1.1: [tex]1.0 + 0.1 = 1.1[/tex]
2. 0.11: [tex]0.01 + 0.1 = 0.11[/tex]
3. 0.2: [tex]0.1 + 0.1 = 0.2[/tex]
4. 0.21: [tex]0.11 + 0.1 = 0.21[/tex]
5. 10.1: [tex]10.0 + 0.1 = 10.1[/tex]

When adding one tenth and 0.1, it's important to understand how they are represented as decimal numbers.

1. One tenth as a decimal: One tenth is represented as 0.1 in decimal form.

2. Adding the two decimals:

- Given: One tenth (0.1) and 0.1
- Add them together: 0.1 + 0.1 = 0.2

Now, let's evaluate the different responses that were submitted and see what possible math sentence might lead to each answer:

1. Response: 1.1
- This answer could come from adding 1 and 0.1. So the sentence could be: "1 + 0.1"

2. Response: 0.11
- This answer might result from adding 0.01 and 0.1. So the sentence could be: "0.01 + 0.1"

3. Response: 0.2
- This is the correct answer for adding 0.1 and 0.1. The sentence is: "0.1 + 0.1"

4. Response: 0.21
- This answer might come from adding 0.11 and 0.1. So the sentence could be: "0.11 + 0.1"

5. Response: 10.1
- This answer could result from adding 10 and 0.1. So the sentence could be: "10 + 0.1"

From the options given, the correct answer to the original problem (adding one tenth and 0.1) is 0.2.