Number of significant in 78.000 g, 0.0206 g and 3.002 g are

Options

A. 3,4 and 5
B. 2,5 and 4
C. 3,3 and 4
D. 5,3 and 4

Answer

To determine the number of significant figures in the given measurements (78.000 g, 0.0206 g, and 3.002 g), we will follow the rules of significant figures.

### Step-by-Step Solution:

1. **Identify the number of significant figures in 78.000 g:**
- All non-zero digits are significant.
- The zeros that are between non-zero digits or after a decimal point and after a non-zero digit are also significant.
- In 78.000 g, the digits '7' and '8' are significant, and the three zeros after the decimal point are also significant.
- Therefore, the total number of significant figures in 78.000 g is **5**.

2. **Identify the number of significant figures in 0.0206 g:**
- Leading zeros (zeros before the first non-zero digit) are not significant.
- The digits '2', '0', and '6' are significant.
- Therefore, the total number of significant figures in 0.0206 g is **3**.

3. **Identify the number of significant figures in 3.002 g:**
- All non-zero digits are significant.
- The zeros between non-zero digits are also significant.
- In 3.002 g, the digits '3', '0', '0', and '2' are all significant.
- Therefore, the total number of significant figures in 3.002 g is **4**.

### Summary of Significant Figures:
- 78.000 g: **5 significant figures**
- 0.0206 g: **3 significant figures**
- 3.002 g: **4 significant figures**

### Final Answer:
- The number of significant figures in 78.000 g is 5, in 0.0206 g is 3, and in 3.002 g is 4.

---