Express decimal equivalent of 2/7 to three significant figures

Answer

To express the decimal equivalent of \( \frac{2}{7} \) to three significant figures, follow these steps:

### Step-by-Step Solution:

1. **Perform the Division**:
Calculate \( \frac{2}{7} \).
\[ \frac{2}{7} = 0.2857142857\ldots \]

2. **Identify the Decimal Representation**:
The result from the division is approximately \( 0.285714 \).

3. **Round to Three Significant Figures**:
To round \( 0.285714 \) to three significant figures:
- The first three significant figures are \( 2, 8, \) and \( 5 \).
- The next digit is \( 7 \), which is greater than \( 5 \). According to rounding rules, this means we round up the last significant figure (the \( 5 \)).
- Therefore, \( 0.285 \) rounded up becomes \( 0.286 \).

4. **Final Answer**:
The decimal equivalent of \( \frac{2}{7} \) expressed to three significant figures is:
\[ \boxed{0.286} \]