The number of significant figures in each of these given numbers respectively are
(i) 506.20 (ii) 0.003402

Options

A. 4,6
B. 4,4
C. 5,4
D. 5,6

Answer

To determine the number of significant figures in the given numbers, we will analyze each number step by step.

### Step 1: Analyze the first number, 506.20
1. Identify all non-zero digits:
- The digits 5, 6, and 2 are all non-zero and therefore significant.
2. Identify zeros between non-zero digits:
- The zero between 5 and 6 is significant.
3. Identify trailing zeros in the decimal:
- The zero after 2 is also significant because it is to the right of the decimal point.
4. Count all significant figures:
- Significant figures in 506.20 are: 5, 0, 6, 2, and the trailing 0.
- Total significant figures = 5.

### Step 2: Analyze the second number, 0.003402
1. Identify leading zeros:
- The zeros before the first non-zero digit (3) are not significant.
2. Identify non-zero digits:
- The digits 3, 4, and 2 are significant.
3. Identify zeros between non-zero digits:
- The zero between 3 and 4 is significant.
4. Count all significant figures:
- Significant figures in 0.003402 are: 3, 4, 0, and 2.
- Total significant figures = 4.

### Final Count:
- For 506.20: 5 significant figures.
- For 0.003402: 4 significant figures.

### Summary:
- The number of significant figures in 506.20 is **5**.
- The number of significant figures in 0.003402 is **4**.