When 2.0347 is added to 15.7, the sum

Options

A. 17.7347
B. 17.734
C. 17.13
D. 17.7

Answer

To solve the problem of adding 2.0347 and 15.7 while considering significant figures, we follow these steps:

### Step 1: Identify the Numbers
We have two numbers to add:
- 2.0347
- 15.7

### Step 2: Determine Decimal Places
Next, we need to look at the number of decimal places in each number:
- **2.0347** has 4 decimal places.
- **15.7** has 1 decimal place.

### Step 3: Perform the Addition
Now, we add the two numbers:
\[ 2.0347 + 15.7 = 17.7347 \]

### Step 4: Apply Significant Figures Rule for Addition
According to the rules of significant figures for addition and subtraction, the result should be rounded to the least number of decimal places in any of the numbers being added. In this case, the number with the least decimal places is **15.7**, which has 1 decimal place.

### Step 5: Round the Result
Now we round the sum (17.7347) to 1 decimal place:
- The first decimal place is 7, and the second decimal place is 3. Since 3 is less than 5, we do not round up.
- Therefore, the rounded result is **17.7**.

### Final Answer
The final answer, considering significant figures, is:
\[ \text{Sum} = 17.7 \]

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