Evaluate:
`20.345- 18.9099`

Options

A. `1.4321`
B. `1.4351`
C. `1.4331`
D. `1.4301`

Answer

To evaluate the expression \( 20.345 - 18.9099 \), we will follow these steps:

### Step 1: Align the decimal numbers
First, we write the numbers one below the other, aligning them according to their decimal points.

```
20.3450
- 18.9099
```

### Step 2: Add zeros if necessary
Since the second number has more decimal places, we can add a zero to the first number to make the subtraction easier.

```
20.3450
- 18.9099
```

### Step 3: Subtract the numbers
Now, we will subtract the numbers starting from the rightmost digit (the smallest place value).

1. **Subtract the thousandths place**: \(0 - 9\) (we can't subtract, so we need to borrow)
- Borrow from the next digit (4 becomes 3, and we add 10 to 0, making it 10).
- Now, \(10 - 9 = 1\).

2. **Subtract the hundredths place**: \(3 - 9\) (again, we can't subtract, so we borrow)
- Borrow from the next digit (3 becomes 2, and we add 10 to 3, making it 13).
- Now, \(13 - 9 = 4\).

3. **Subtract the tenths place**: \(2 - 0 = 2\).

4. **Subtract the units place**: \(0 - 9\) (we need to borrow again)
- Borrow from the next digit (2 becomes 1, and we add 10 to 0, making it 10).
- Now, \(10 - 9 = 1\).

5. **Subtract the tens place**: \(1 - 8\) (we need to borrow)
- Borrow from the next digit (1 becomes 0, and we add 10 to 1, making it 11).
- Now, \(11 - 8 = 3\).

6. **Subtract the hundreds place**: \(0 - 1 = -1\) (we can't subtract, so we borrow)
- Since we have already borrowed from the hundreds place, we have \(1 - 1 = 0\).

### Step 4: Write down the result
Putting it all together, we have:

```
20.3450
- 18.9099
___________
1.4351
```

So, the final answer is **1.4351**.