Multiply 107.88 by 0.610 and express the result with correct number of significant figures.

Options

A. 65.8068
B. 64.807
C. 65.81
D. 65.8

Explanation

To solve the problem of multiplying 107.88 by 0.610 and expressing the result with the correct number of significant figures, follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers to Multiply:**
We have two numbers:
- \( a = 107.88 \)
- \( b = 0.610 \)

2. **Determine the Significant Figures:**
- For \( a = 107.88 \):
- It has 5 significant figures (1, 0, 7, 8, and the last 8).
- For \( b = 0.610 \):
- It has 3 significant figures (6, 1, and the trailing 0 is significant because it follows a non-zero digit).

3. **Perform the Multiplication:**
Calculate the product:
\[ x = a \times b = 107.88 \times 0.610 \]
Using a calculator, we find:
\[ x = 65.8068 \]

4. **Apply the Rule for Significant Figures:**
The result must be expressed with the minimum number of significant figures from the numbers involved in the multiplication. Here, the minimum is 3 (from 0.610).

5. **Round the Result:**
The calculated result \( 65.8068 \) has 6 significant figures. We need to round it to 3 significant figures:
- The first three significant figures are 65.8.
- The next digit after 65.8 is 0 (which is less than 5), so we do not round up.

6. **Final Answer:**
The final result, expressed with the correct number of significant figures, is:
\[ \boxed{65.8} \]