What will be 0.008594, correct to three significant figures, be equal to
A)`0.00859`
B)`0.009`
C)`0.00860`
D)`0.008`

Options

A. `0.00859`
B. `0.009`
C. `0.00860`
D. `0.008`

Answer

To solve the problem of rounding the number 0.008594 to three significant figures, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Significant Figures**:
- The number given is 0.008594.
- The leading zeros (0.00) are not significant. The first significant figure is '8', followed by '5' and '9'.

2. **Count the Significant Figures**:
- The significant figures in 0.008594 are:
- 1st significant figure: 8
- 2nd significant figure: 5
- 3rd significant figure: 9
- So, we have three significant figures: 8, 5, and 9.

3. **Determine the Rounding**:
- To round to three significant figures, we look at the digit immediately following the last significant figure (which is '9' in this case).
- The digit after '9' is '4'.

4. **Apply Rounding Rules**:
- Since '4' is less than 5, we do not increase the last significant figure ('9').
- Therefore, the rounded number remains as 0.00859.

5. **Final Result**:
- Thus, 0.008594 rounded to three significant figures is 0.00859.

### Conclusion:
The correct answer is **A) 0.00859**.