The correctly reported answer of the addition of 142. 138, 3.214 and 17 will be

Options

A. `162.352`
B. `162.35`
C. `162.4`
D. 162

Answer

To solve the problem of finding the correctly reported answer of the addition of 142.138, 3.214, and 17, we will follow these steps:

### Step 1: Perform the Addition
First, we need to add the three numbers together:
- 142.138
- 3.214
- 17.000 (we can add two decimal places to 17 for uniformity)

Now, let's add them:
\[ 142.138 + 3.214 + 17.000 = 162.352 \]

### Step 2: Determine the Significant Figures
Next, we need to determine how to round the result based on significant figures. The rule for addition states that the result should be reported to the least number of decimal places of any number in the addition.

- **142.138** has **3 decimal places**.
- **3.214** has **3 decimal places**.
- **17.000** has **3 decimal places**.

The least number of decimal places among these numbers is **3**.

### Step 3: Round the Result
Now we will round the result (162.352) to 3 decimal places:
- The number is **162.352**.
- The third decimal place is **2** and the next digit (fourth decimal place) is **5**.

According to rounding rules:
- If the digit after the last significant figure (in this case, the third decimal place) is **5 or greater**, we round up the last significant figure.
- If it is less than **5**, we do not change the last significant figure.

Since the digit after the third decimal place (which is **2**) is less than **5**, we do not change the **2**.

Thus, the rounded result is **162.352**.

### Step 4: Report the Final Answer
Since we need to report the answer with the correct number of significant figures, we will round it to the nearest whole number, as the problem asks for the correctly reported answer.

The final reported answer is **162**.

### Final Answer
The correctly reported answer of the addition is **162**.

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