The number of significant figures in the numbers `4.8000xx10^(4)` and `48000.50` are respectively

Options

A. 5 and 6
B. 5 and 7
C. 2 and 7
D. 2 and 6

Explanation

To determine the number of significant figures in the numbers \(4.8000 \times 10^4\) and \(48000.50\), we can follow these steps:

### Step 1: Analyze the first number \(4.8000 \times 10^4\)

1. **Identify the significant figures**:
- The number \(4.8000\) has digits: 4, 8, 0, 0, 0.
- All non-zero digits are significant.
- Zeros that are between significant digits (like the zeros in \(4.8000\)) are also significant.
- Zeros to the right of the decimal point in a number that has non-zero digits before them (like the zeros in \(4.8000\)) are significant.

2. **Count the significant figures**:
- Here, we have:
- 4 (1 significant figure)
- 8 (1 significant figure)
- 0 (1 significant figure)
- 0 (1 significant figure)
- 0 (1 significant figure)
- Total significant figures = 5.

### Step 2: Analyze the second number \(48000.50\)

1. **Identify the significant figures**:
- The number \(48000.50\) has digits: 4, 8, 0, 0, 0, 5, 0.
- All non-zero digits are significant.
- Zeros between significant digits (like the zeros in \(48000.50\)) are significant.
- Zeros to the right of the decimal point (like the zero in \(0.50\)) are also significant.

2. **Count the significant figures**:
- Here, we have:
- 4 (1 significant figure)
- 8 (1 significant figure)
- 0 (1 significant figure)
- 0 (1 significant figure)
- 0 (1 significant figure)
- 5 (1 significant figure)
- 0 (1 significant figure)
- Total significant figures = 7.

### Final Answer:
- The number of significant figures in \(4.8000 \times 10^4\) is **5**.
- The number of significant figures in \(48000.50\) is **7**.

Thus, the answer is **5, 7**.

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