Evaluate:
`16.34 + 8.92 - 6. 233`

Options

A. `19.047`
B. `19.097`
C. `19.027`
D. `19.117`

Answer

To evaluate the expression \( 16.34 + 8.92 - 6.233 \), we will follow these steps:

### Step 1: Add \( 16.34 \) and \( 8.92 \)

Align the numbers by their decimal points:

```
16.340
+ 8.920
---------
```

Now, we add the numbers column by column starting from the right:

- In the hundredths place: \( 0 + 0 = 0 \)
- In the tenths place: \( 4 + 2 = 6 \)
- In the units place: \( 3 + 9 = 12 \) (write down 2 and carry over 1)
- In the tens place: \( 6 + 8 + 1 = 15 \) (write down 5 and carry over 1)
- In the hundreds place: \( 1 \) (from the carry)

So, the sum is:

```
16.340
+ 8.920
---------
25.260
```

### Step 2: Subtract \( 6.233 \) from \( 25.260 \)

Align the numbers by their decimal points:

```
25.260
- 6.233
---------
```

Now, we subtract the numbers column by column starting from the right:

- In the thousandths place: \( 0 - 3 \) (we need to borrow, so it becomes \( 10 - 3 = 7 \))
- In the hundredths place: \( 6 - 3 = 3 \)
- In the tenths place: \( 5 - 2 = 3 \)
- In the units place: \( 2 - 6 \) (we need to borrow, so it becomes \( 12 - 6 = 6 \))
- In the tens place: \( 2 - 0 = 2 \)

So, the result of the subtraction is:

```
25.260
- 6.233
---------
19.027
```

### Final Answer

Thus, the evaluated result of \( 16.34 + 8.92 - 6.233 \) is \( 19.027 \).

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