The actual product of 5.786 and 4.2 is 24.3012 . The correctly reported answer will be

Options

A. 24
B. `24.3`
C. `24.30`
D. `24.301`

Answer

To determine the correctly reported answer for the product of 5.786 and 4.2, we need to consider the significant figures in the numbers involved.

### Step-by-Step Solution:

1. **Identify the Significant Figures**:
- The number 5.786 has **four significant figures** (5, 7, 8, and 6).
- The number 4.2 has **two significant figures** (4 and 2).

2. **Determine the Limiting Significant Figures**:
- When multiplying numbers, the result should be reported with the same number of significant figures as the number with the least significant figures.
- Here, 4.2 has the least significant figures (2 significant figures).

3. **Calculate the Actual Product**:
- The actual product of 5.786 and 4.2 is given as **24.3012**.

4. **Round the Product to the Correct Number of Significant Figures**:
- Since we need to report the answer with **2 significant figures**, we look at the first two digits of the product (24).
- The next digit after 24 is 3 (from 24.3012). Since 3 is less than 5, we do not round up.

5. **Final Answer**:
- Therefore, the correctly reported answer, rounded to 2 significant figures, is **24**.

### Summary:
The correctly reported answer is **24**.