Decimal equivalent of 2/3 is ………………..upto three significant figures.

Answer

To find the decimal equivalent of \( \frac{2}{3} \) up to three significant figures, follow these steps:

### Step-by-Step Solution:

1. **Calculate the Decimal Equivalent**:
- Divide 2 by 3.
\[ \frac{2}{3} = 0.6666\ldots \]
This is a repeating decimal.

2. **Identify Significant Figures**:
- We need to express this value up to three significant figures. The significant figures in \( 0.6666\ldots \) are the digits 6, 6, and 6.

3. **Rounding**:
- Since we need three significant figures, we look at the fourth digit (which is also 6). According to rounding rules, if the digit after the last significant figure (in this case, the fourth 6) is 5 or greater, we round up the last significant figure.
- Here, since the next digit is 6 (greater than 5), we round the last 6 up to 7.

4. **Final Result**:
- Therefore, the decimal equivalent of \( \frac{2}{3} \) up to three significant figures is:
\[ 0.667 \]

### Final Answer:
The decimal equivalent of \( \frac{2}{3} \) up to three significant figures is **0.667**.

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