2.34 is obtained by rounding of the number

Options

A. 2.346
B. 2.355
C. 2.335
D. 2.334

Answer

To determine which number rounds to 2.34, we need to analyze the options provided and apply the rules of rounding.

### Step-by-Step Solution:

1. **Understanding Rounding Rules**:
- When rounding a number, if the digit after the last significant digit (in this case, the second decimal place) is 5 or greater, we round up the last significant digit. If it is less than 5, we leave the last significant digit unchanged.

2. **Analyzing the Options**:
- We have several options to consider. We need to check each option to see if rounding it results in 2.34.

3. **Option 1: 2.346**
- The last digit is 6 (the third decimal place).
- Since 6 is greater than 5, we round up the second decimal place (4) by 1.
- This gives us 2.35, which does not round to 2.34.

4. **Option 2: 2.355**
- The last digit is 5.
- The preceding digit (the second decimal place) is also 5, which is an odd number.
- According to the rounding rule, we round up, which gives us 2.36. This does not round to 2.34.

5. **Option 3: 2.335**
- The last digit is 5.
- The preceding digit (the second decimal place) is 3, which is an odd number.
- We round up the second decimal place (3) by 1, resulting in 2.34. This is a match!

6. **Conclusion**:
- The number that rounds to 2.34 is **2.335**.

### Final Answer:
The number that rounds to 2.34 is **2.335**.