The correctly reported answer of the addition of 4.523, 2.3 and 6.24 will have significant figures

Options

A. Two
B. Three
C. Four
D. Five

Explanation

To determine the correctly reported answer of the addition of the numbers 4.523, 2.3, and 6.24 with the appropriate significant figures, we will follow these steps:

### Step 1: Add the Numbers
First, we add the three numbers together:
- 4.523
- 2.3
- 6.24

Aligning the numbers for addition:
```
4.523
+ 2.300
+ 6.240
--------
```
Now, we perform the addition:
- 3 (from 0 + 0 + 3)
- 0 (from 2 + 3 + 0)
- 1 (from 5 + 2 + 4 = 11, carry over 1)
- 3 (from 4 + 2 + 6 + 1 (carry) = 13)

So, the total is **13.063**.

### Step 2: Determine the Significant Figures
Next, we need to determine how many significant figures should be in our final answer based on the numbers we added.

- **4.523** has 4 significant figures (all digits are significant).
- **2.3** has 2 significant figures (the trailing zero is not significant).
- **6.24** has 3 significant figures (all digits are significant).

### Step 3: Identify the Limiting Factor
When adding or subtracting, the result should be reported to the least number of decimal places of any number in the operation.

- **4.523** has 3 decimal places.
- **2.3** has 1 decimal place.
- **6.24** has 2 decimal places.

The limiting factor here is **2.3**, which has **1 decimal place**.

### Step 4: Round the Result
Now we round the total (13.063) to **1 decimal place**:
- The first decimal place is **0** (from 13.0).
- The second decimal place is **6** (from 13.06).

Since the second decimal place (6) is greater than 5, we round up the first decimal place (0) to 1.

Thus, the final rounded answer is **13.1**.

### Step 5: Report Significant Figures
Now, we report the significant figures in our final answer:
- The number **13.1** has **3 significant figures** (1, 3, and the trailing 1).

### Final Answer
The correctly reported answer of the addition of 4.523, 2.3, and 6.24 will have **3 significant figures**.

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