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It looks like you have uploaded a screenshot of a math question asking to determine whether certain numbers can be written as fractions, along with reasons based on the type of decimal (terminating, repeating, or non-terminating/non-repeating).

Here are some clarifications:

1. **For 0.898989...**:
   - This is a repeating decimal because "89" repeats indefinitely.
   - Any repeating decimal can be written as a fraction. So, the correct response should be:
     - **Yes** for "Can this be written as a fraction?".
     - **This is a repeating decimal** for the reason.

2. **For 0.92847...**:
   - If the digits continue without repeating or terminating, this would be a non-terminating and non-repeating decimal.
   - Non-repeating decimals cannot be written as fractions (they are considered irrational numbers).
   - Therefore, the correct response should be:
     - **No** for "Can this be written as a fraction?".
     - **This is a decimal that neither terminates nor repeats**.

3. **For 0.555**:
   - This is a terminating decimal since it ends after three decimal places.
   - Terminating decimals can always be written as fractions (0.555 = 555/1000).
   - Therefore, the correct response should be:
     - **Yes** for "Can this be written as a fraction?".
     - **This is a terminating decimal** for the reason.

Would you like further details on how to convert these decimals into fractions or discuss any of the concepts?

Here are 5 related questions to deepen your understanding:
1. How can you convert a repeating decimal like 0.898989... into a fraction step by step?
2. What is the difference between a repeating decimal and a terminating decimal?
3. Why are non-terminating, non-repeating decimals considered irrational numbers?
4. How can you identify if a decimal is repeating without writing out many digits?
5. Can all repeating decimals be expressed as fractions, and how is this proven?

**Tip:** Remember that any decimal that repeats or terminates can always be written as a fraction, but non-repeating, non-terminating decimals cannot!

For each number, determine if it can be written as a fraction. Then state the reason. (Numbers include 0.898989..., 0.92847..., 0.555)

Learn how to determine whether a decimal can be written as a fraction by identifying if it is terminating, repeating, or non-repeating. This lesson covers decimals like 0.898989..., 0.92847..., and 0.555, and provides reasons based on their classification.

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