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 in terms of significant figures, we will follow these steps:

### Step 1: Perform the Addition
First, we add the three numbers together:
\[ 4.523 + 2.3 + 6.24 \]
Calculating this gives:
\[ 4.523 + 2.3 = 6.823 \]
Then,
\[ 6.823 + 6.24 = 13.063 \]

### Step 2: Identify the Decimal Places
Next, we need to look at the decimal places of each number to determine how many decimal places we should keep in our final answer:
- 4.523 has 3 decimal places.
- 2.3 has 1 decimal place.
- 6.24 has 2 decimal places.

### Step 3: Determine the Least Number of Decimal Places
The rule for addition states that the final answer should be reported with the same number of decimal places as the number with the least decimal places. In this case, 2.3 has the least decimal places (1 decimal place).

### Step 4: Round the Result
Now, we round the result (13.063) to 1 decimal place:
- The first decimal place in 13.063 is 0 (the digit after the decimal point).
- The second decimal place is 6. Since 6 is greater than 5, we round up the first decimal place from 0 to 1.

Thus, the rounded result is:
\[ 13.1 \]

### Step 5: Count the Significant Figures
Finally, we count the significant figures in the rounded answer:
- The number 13.1 has three significant figures (1, 3, and 1).

### Conclusion
The correctly reported answer of the addition of 4.523, 2.3, and 6.24 will have **three significant figures**.

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