write 'T' for true and 'F' for false for given statements:
2.3, 3.41, 4.53, 5.61 are examples of like decimals.

Answer

To determine whether the statement "2.3, 3.41, 4.53, 5.61 are examples of like decimals" is true or false, we need to understand what like decimals are.

### Step-by-Step Solution:

1. **Definition of Like Decimals**: Like decimals are decimals that have the same number of digits after the decimal point.

2. **Examine Each Decimal**:
- For **2.3**: There is **1 digit** after the decimal point (3).
- For **3.41**: There are **2 digits** after the decimal point (4 and 1).
- For **4.53**: There are **2 digits** after the decimal point (5 and 3).
- For **5.61**: There are **2 digits** after the decimal point (6 and 1).

3. **Count the Digits After the Decimal**:
- 2.3 has **1 digit** after the decimal.
- 3.41 has **2 digits** after the decimal.
- 4.53 has **2 digits** after the decimal.
- 5.61 has **2 digits** after the decimal.

4. **Compare the Number of Digits**:
- Since 2.3 has **1 digit** and the others (3.41, 4.53, 5.61) have **2 digits**, they do not all have the same number of digits after the decimal point.

5. **Conclusion**: Since not all the decimals have the same number of digits after the decimal point, the statement is **False**.

### Final Answer:
**F** (False)

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