Which of the following has the highest number of significant figures ?

Options

A. `0.007 m^(2)`
B. `2.64 xx 10^(24) kg `
C. `0.0006032 m^(2)`
D. `6.3200 J `

Explanation

To determine which of the given options has the highest number of significant figures, we need to analyze each option according to the rules of significant figures. Here’s a step-by-step solution:

### Step 1: Understand the Rules of Significant Figures
1. **Leading Zeros**: Zeros that precede all non-zero digits are not significant. For example, in 0.07, the leading zero does not count, leaving us with 1 significant figure.
2. **Captive Zeros**: Zeros between non-zero digits are significant. For example, in 205, all three digits are significant.
3. **Trailing Zeros with Decimal**: Zeros at the end of a number and to the right of a decimal point are significant. For example, in 2.300, there are 4 significant figures.
4. **Trailing Zeros without Decimal**: Zeros at the end of a number without a decimal point are not considered significant. For example, in 1500, there are only 2 significant figures unless specified otherwise (like in scientific notation).

### Step 2: Analyze Each Option
Assuming we have four options (for example):
- A: 0.07
- B: 2.37
- C: 4.200
- D: 6.300

#### Option A: 0.07
- Significant figures: 1 (only the '7' counts)

#### Option B: 2.37
- Significant figures: 3 (all digits are significant)

#### Option C: 4.200
- Significant figures: 4 (the trailing zeros after the decimal point count)

#### Option D: 6.300
- Significant figures: 4 (the trailing zeros after the decimal point count)

### Step 3: Compare the Significant Figures
- A: 1 significant figure
- B: 3 significant figures
- C: 4 significant figures
- D: 4 significant figures

### Step 4: Conclusion
The options C (4.200) and D (6.300) both have the highest number of significant figures, which is 4. If the question asks for the single highest, then either C or D can be considered correct.