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: Identify the numbers and their significant figures
- **3.0560** has **5 significant figures** (the trailing zero counts).
- **0.0348** has **4 significant figures** (the leading zeros do not count).
- **5.340** has **5 significant figures** (the trailing zero counts).

### Step 2: Perform the addition
Now, we will add the numbers together:

\[ 3.0560 + 0.0348 + 5.340 \]

Let's do the addition step by step:

1. Add **3.0560** and **0.0348**:
\[ 3.0560 + 0.0348 = 3.0908 \]

2. Now add the result to **5.340**:
\[ 3.0908 + 5.340 = 8.4308 \]

### Step 3: Determine the correct number of significant figures for the result
When adding numbers, the result should be reported to the least number of decimal places of any number in the operation.

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

The least number of decimal places is **3** (from 5.340).

### Step 4: Round the result to the correct number of decimal places
The result from the addition is **8.4308**. Since we need to round this to **3 decimal places**, we look at the fourth decimal place (which is 8). Since 8 is greater than 5, we round up the last digit in the third decimal place (0) to 1.

Thus, rounding **8.4308** to **3 decimal places** gives us:

\[ 8.431 \]

### Final Answer
The result of the addition \(3.0560 + 0.0348 + 5.340\) up to the correct significant figures is **8.431**.

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