Find the value of `812+8.012+0.8120+8.0012`

Options

A. `825.3904`
B. `728.7252`
C. `828.9332`
D. `828.8252`

Answer

To solve the problem \(812 + 8.012 + 0.8120 + 8.0012\), we will follow these steps:

### Step 1: Align the numbers by their decimal points
We will write the numbers in a column, aligning the decimal points to ensure that we add them correctly.

```
812.0000
+ 8.0120
+ 0.8120
+ 8.0012
```

### Step 2: Add the numbers column by column
Starting from the rightmost column (thousandths place) and moving left:

1. **Thousandths place**: \(0 + 0 + 0 + 2 = 2\)
2. **Hundredths place**: \(0 + 1 + 1 + 1 = 3\)
3. **Tenths place**: \(0 + 0 + 0 + 0 = 0\)
4. **Units place**: \(2 + 8 + 0 + 8 = 18\) (write down 8 and carry over 1)
5. **Tens place**: \(1 (carry) + 1 + 0 + 0 = 2\)
6. **Hundreds place**: \(8 + 0 + 0 + 0 = 8\)

### Step 3: Write down the final result
Now, we combine all the results from each column:

```
812.0000
+ 8.0120
+ 0.8120
+ 8.0012
__________
828.0132
```

Thus, the final answer is:

\[ \boxed{828.0132} \]

---