After rounding of 5.235 and 5.225 to three significant figures , we will have answers respectively as

Options

A. `5.23, 5.22`
B. `5.24, 5.123`
C. `5.23, 5.23`
D. `5.24, 5.22`

Answer

To solve the problem of rounding the numbers 5.235 and 5.225 to three significant figures, we can follow these steps:

### Step 1: Identify the Significant Figures
- **5.235** has four significant figures: 5, 2, 3, and 5.
- **5.225** also has four significant figures: 5, 2, 2, and 5.

### Step 2: Rounding 5.235 to Three Significant Figures
- The first three significant figures of 5.235 are 5, 2, and 3.
- The next digit (the fourth significant figure) is 5.
- According to rounding rules, if the digit after the last significant figure (which is 3 in this case) is followed by a 5 and the digit before it (which is also 5) is odd, we round up.
- Therefore, 5.235 rounded to three significant figures becomes **5.24**.

### Step 3: Rounding 5.225 to Three Significant Figures
- The first three significant figures of 5.225 are 5, 2, and 2.
- The next digit (the fourth significant figure) is 5.
- Since the digit before the last significant figure (which is 2) is even, we do not round up.
- Therefore, 5.225 rounded to three significant figures remains **5.22**.

### Final Answers
- After rounding, we have:
- 5.235 rounded to three significant figures: **5.24**
- 5.225 rounded to three significant figures: **5.22**

### Conclusion
The answers respectively are **5.24 and 5.22**.