The actual product of 4.327 and 2.8 is 12.1156. The correctly reported answer will be

Options

A. 12
B. 12.1
C. 12.12
D. 12.116

Explanation

To determine the correctly reported answer for the product of 4.327 and 2.8, we need to follow these steps:

### Step 1: Identify the Numbers and Their Significant Figures
- The first number is **4.327**. This number has **4 significant figures** (all non-zero digits are significant).
- The second number is **2.8**. This number has **2 significant figures** (the digit '2' and '8' are both significant).

### Step 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, **2.8** has the least significant figures with **2 significant figures**.

### Step 3: Calculate the Product
- The actual product of **4.327 and 2.8** is **12.1156**.

### Step 4: Round the Product to the Correct Number of Significant Figures
- Since we need to report the product with **2 significant figures**, we look at the first two digits of **12.1156**, which are **12**.
- The next digit (the third significant figure) is **1**, which is less than 5. Therefore, we round down.

### Step 5: Final Answer
- The correctly reported answer, rounded to **2 significant figures**, is **12**.

### Summary
The correctly reported answer for the product of 4.327 and 2.8 is **12**.

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