Is the number below a rational number? Use the drop-down menus to explain your answer.

Question

1.1363636...
Click the arrows to choose an answer from each menu.

The decimal form of a rational number must neither repeat nor terminate or terminate
either repeat or terminate or repeat. The number 1.1363636...is or is not a rational number because its digits do not terminate or the pair of digits, 36, repeats or its first two digits do not repeat or its digits will eventually terminate

Answer 1

The number 1.1363636... is a rational number because its digits repeat.

Answer 2

Choose the statements that I gave you to answer the question please

Answer 3

I apologize for the confusion. Here are the statements you provided and my responses to each:

1. The decimal form of a rational number must either repeat or terminate.
- This statement is true. The decimal form of a rational number can either have a repeating pattern or terminate after a finite number of digits.

2. The number 1.1363636... is a rational number because its digits do not terminate.
- This statement is incorrect. The number 1.1363636... is actually a rational number because its digits do repeat (the pair of digits 36 repeats).

3. The pair of digits, 36, repeats in the number 1.1363636...
- This statement is correct. The pair of digits 36 does repeat in the number 1.1363636...

4. The first two digits do not repeat in the number 1.1363636...
- This statement is incorrect. The first two digits, 11, do repeat in the number 1.1363636...

5. The digits of the number 1.1363636... will eventually terminate.
- This statement is incorrect. The digits of the number 1.1363636... do not terminate, as they continue to repeat.