`7984.986+2541.005+127.996=?`

Options

A. 11280
B. 15600
C. 14650
D. 10650

Explanation

To solve the problem \(7984.986 + 2541.005 + 127.996\) using approximation, we will follow these steps:

### Step 1: Round each number to the nearest whole number.
1. **For 7984.986**: The digit after the decimal is 9, which is greater than 5. Therefore, we round up to **7985**.
2. **For 2541.005**: The digit after the decimal is 0, which is less than 5. Therefore, we round down to **2541**.
3. **For 127.996**: The digit after the decimal is 9, which is greater than 5. Therefore, we round up to **128**.

### Step 2: Add the rounded numbers together.
Now we add the rounded numbers:
\[ 7985 + 2541 + 128 \]

### Step 3: Perform the addition.
1. First, add \(7985 + 2541\):
\[ 7985 + 2541 = 10526 \]
2. Now add \(10526 + 128\):
\[ 10526 + 128 = 10654 \]

### Final Result:
The approximate sum of \(7984.986 + 2541.005 + 127.996\) is **10654**.

### Step 4: Identify the closest value.
We need to find the closest value to 10654 from the options provided. The closest option is **10650**.