The addition of three masses 1.6 g, 7.32 g and 4.238 g. addressed upto proper decimal places is

Options

A. 13.158 g
B. 13.2 g
C. 13.16 g
D. 13.15 g

Answer

To solve the problem of adding the three masses (1.6 g, 7.32 g, and 4.238 g) and expressing the result with the correct number of decimal places, we can follow these steps:

### Step 1: Add the masses
First, we will add the three given masses together.

\[ 1.6 \, \text{g} + 7.32 \, \text{g} + 4.238 \, \text{g} \]

### Step 2: Perform the addition
Align the numbers by their decimal points and add them:

```
1.600
+ 7.320
+ 4.238
---------
13.158
```

So, the total mass is:

\[ 13.158 \, \text{g} \]

### Step 3: Determine the number of decimal places
Next, we need to determine how many decimal places our final answer should have. We look at the original numbers:

- 1.6 g has **1 decimal place**.
- 7.32 g has **2 decimal places**.
- 4.238 g has **3 decimal places**.

The rule for addition is that the result should have the same number of decimal places as the measurement with the least number of decimal places. In this case, that is **1 decimal place** (from 1.6 g).

### Step 4: Round the result
Now, we round the total (13.158 g) to **1 decimal place**.

The first digit after the decimal is 1 (in 13.1**5**8). Since the digit after the first decimal place (which is 5) is 5 or greater, we round up the first decimal place:

- The digit before rounding is 1.
- Since the next digit is 5, we round up: 1 becomes 2.

Thus, rounding 13.158 g to 1 decimal place gives us:

\[ 13.2 \, \text{g} \]

### Final Answer
The final answer, expressed to the correct number of decimal places, is:

\[ \text{13.2 g} \]

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