Find the value of given expression
30.9+3.09+0.309+0.039+309=?`
(a)534.388
(b)340.138
(c)343.338
(d)243.338

Options

A. 534.388
B. 340.138
C. 343.338
D. 243.338

Answer

To find the value of the expression \(30.9 + 3.09 + 0.309 + 0.039 + 309\), we will follow these steps:

### Step 1: Align the numbers for addition
We will write the numbers in a column format, aligning the decimal points:

```
309.000
30.900
3.090
0.309
0.039
```

### Step 2: Add the numbers column by column
Now, we will add the numbers starting from the rightmost column (the decimal part) and moving left.

- **Rightmost column (thousandths place)**:
- \(0 + 0 + 0 + 9 + 9 = 18\) (write down 8, carry over 1)

- **Next column (hundredths place)**:
- \(0 + 0 + 9 + 3 + 3 = 15\) (plus the carry 1 gives us 16, write down 6, carry over 1)

- **Next column (tenths place)**:
- \(0 + 9 + 0 + 0 + 0 = 9\) (plus the carry 1 gives us 10, write down 0, carry over 1)

- **Next column (units place)**:
- \(9 + 0 + 0 + 0 + 3 = 12\) (plus the carry 1 gives us 13, write down 3, carry over 1)

- **Next column (tens place)**:
- \(3 + 0 + 0 + 0 + 0 = 3\) (plus the carry 1 gives us 4, write down 4)

- **Next column (hundreds place)**:
- \(3 + 0 + 0 + 0 + 0 = 3\) (write down 3)

### Step 3: Write down the final result
Putting it all together, we get:
```
343.338
```

Thus, the value of the expression \(30.9 + 3.09 + 0.309 + 0.039 + 309\) is **343.338**.

### Final Answer
The correct option is **(c) 343.338**.