The result of the following addition, 3.0560 + 0.0348 + 5.340 upto correct significant figures is

Options

A. 8.4308
B. 8.43
C. 8.431
D. 8.4

Answer

To solve the problem of adding the numbers 3.0560, 0.0348, and 5.340 while considering significant figures, follow these steps:

### Step 1: Perform the Addition
First, we need to add the three numbers together:

\[ 3.0560 + 0.0348 + 5.340 \]

Calculating this gives:

\[ 3.0560 + 0.0348 = 3.0908 \]
\[ 3.0908 + 5.340 = 8.4308 \]

### Step 2: Identify the Number of Decimal Places
Next, we need to determine the number of decimal places in each of the original numbers:

- **3.0560** has 4 decimal places.
- **0.0348** has 4 decimal places.
- **5.340** has 3 decimal places.

### Step 3: Determine the Least Precise Measurement
The least precise measurement is the one with the fewest decimal places. In this case, **5.340** has 3 decimal places, which is the least among the three numbers.

### Step 4: Round the Result
Since the result of the addition (8.4308) must be rounded to match the least number of decimal places (3 decimal places), we round 8.4308 to 3 decimal places:

\[ 8.4308 \rightarrow 8.430 \]

### Step 5: Final Answer
Thus, the final answer, rounded to the correct number of significant figures, is:

\[ \text{Final Answer: } 8.430 \]

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