Which of the following have same significant figures?

Options

A. `6.02 xx 10^(23)`
B. `7.70 xx 10^(-20)`
C. 7.50
D. 0.75

Explanation

To determine which of the given options have the same number of significant figures, we will analyze each option based on the rules of significant figures.

### Step-by-Step Solution:

1. **Identify the Options:**
- Option A: \(6.0 \times 10^{23}\)
- Option B: \(7.70 \times 10^{-20}\)
- Option C: \(7.50\)
- Option D: \(0.75\)

2. **Apply the Rules of Significant Figures:**
- **Rule 1:** All non-zero digits are significant.
- **Rule 2:** Zeros between significant figures are significant.
- **Rule 3:** Leading zeros are not significant.
- **Rule 4:** Trailing zeros in a decimal number are significant.

3. **Analyze Each Option:**
- **Option A: \(6.0 \times 10^{23}\)**
- Significant figures: The digits 6 and 0 are significant (0 is between significant figures).
- Total significant figures: **3**

- **Option B: \(7.70 \times 10^{-20}\)**
- Significant figures: The digits 7, 7, and 0 are significant (0 is a trailing zero in a decimal).
- Total significant figures: **3**

- **Option C: \(7.50\)**
- Significant figures: The digits 7, 5, and 0 are significant (0 is a trailing zero in a decimal).
- Total significant figures: **3**

- **Option D: \(0.75\)**
- Significant figures: The digits 7 and 5 are significant (the leading 0 is not significant).
- Total significant figures: **2**

4. **Compare the Significant Figures:**
- Options A, B, and C each have **3 significant figures**.
- Option D has **2 significant figures**.

5. **Conclusion:**
- The options that have the same number of significant figures are **Option A, Option B, and Option C** (all have 3 significant figures).

### Final Answer:
Options A, B, and C have the same number of significant figures (3 significant figures).