The value of `124.2 + 52.487` with due regard to significant places is

Options

A. 176.7
B. 176.69
C. 176
D. 177

Answer

To solve the problem of adding `124.2` and `52.487` while considering significant figures, we will follow these steps:

### Step 1: Identify the Numbers to be Added
We have two numbers:
- First number: `124.2`
- Second number: `52.487`

### Step 2: Perform the Addition
Now, we will add the two numbers:
\[ 124.2 + 52.487 = 176.687 \]

### Step 3: Determine the Number of Decimal Places
Next, we need to consider the significant figures in the numbers we added. The number of decimal places in each number is as follows:
- `124.2` has **1 decimal place**.
- `52.487` has **3 decimal places**.

### Step 4: Identify the Least Number of Decimal Places
In addition, the result should be rounded to the least number of decimal places from the numbers being added. Here, the least number of decimal places is **1** (from `124.2`).

### Step 5: Round the Result
The result of the addition is `176.687`. Since we need to round this to **1 decimal place**, we look at the second decimal place (which is `6` in `176.687`):
- The first decimal place is `6`, and the second decimal place is `8`.
- Since `8` is greater than `5`, we round up the `6` to `7`.

Thus, rounding `176.687` to **1 decimal place** gives us:
\[ 176.7 \]

### Final Answer
The value of `124.2 + 52.487` with due regard to significant places is **176.7**.

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