The numbers 3.845 and 3.835 on rounding off to 3 significant figures will give

Options

A. 3.85 and 3.84
B. 3.84 and 3.83
C. 3.85 and 3.83
D. 3.84 and 3.84

Explanation

To solve the problem of rounding the numbers 3.845 and 3.835 to three significant figures, we will follow the standard rules of rounding.

### Step-by-Step Solution:

1. **Identify the Numbers**:
- The two numbers we need to round are 3.845 and 3.835.

2. **Rounding 3.845**:
- Look at the first three significant figures: 3.8**4**5.
- The last digit (5) is in the third significant figure position.
- According to rounding rules, if the digit after the last significant figure (which is 5 in this case) is 5 or greater, we round up the last significant figure.
- Therefore, we add 1 to the last significant figure (4), resulting in 3.85.

3. **Rounding 3.835**:
- Look at the first three significant figures: 3.8**3**5.
- Again, the last digit (5) is in the third significant figure position.
- Following the same rounding rule, since the digit after the last significant figure is 5, we round up the last significant figure (3).
- Adding 1 to 3 gives us 4, resulting in 3.84.

4. **Final Answers**:
- The rounded numbers are:
- 3.845 rounded to three significant figures is **3.85**.
- 3.835 rounded to three significant figures is **3.84**.

### Summary of the Results:
- 3.845 → 3.85
- 3.835 → 3.84