`3.0005 - 1.748 = ?`

Options

A. `1.2525`
B. `1.257`
C. `2.8257`
D. `1.9257`

Answer

To solve the problem \(3.0005 - 1.748\), we will follow these steps:

### Step 1: Align the Numbers
Align the two numbers vertically by their decimal points:

```
3.0005
- 1.7480
```

### Step 2: Equalize Decimal Places
Since we have four decimal places in \(3.0005\) and three decimal places in \(1.748\), we can add a zero to the end of \(1.748\) to make it \(1.7480\). This helps in performing the subtraction easily.

### Step 3: Perform the Subtraction
Now, we will subtract the numbers starting from the rightmost digit:

```
3.0005
- 1.7480
_________
```

1. Subtract the last digit: \(5 - 0 = 5\)
2. Next digit: \(0 - 8\) (we need to borrow since 0 is less than 8):
- Borrow 1 from the next column (0 becomes 10, and the next column becomes 0):
- Now, \(10 - 8 = 2\)
3. Next digit: \(0 - 4\) (again we need to borrow):
- Borrow 1 from the next column (0 becomes 10, and the next column becomes 0):
- Now, \(10 - 4 = 6\)
4. Next digit: \(0 - 7\) (again we need to borrow):
- Borrow 1 from the next column (0 becomes 10, and the next column becomes 2):
- Now, \(10 - 7 = 3\)
5. Finally, subtract the leftmost digits: \(2 - 1 = 1\)

Putting it all together, we have:

```
3.0005
- 1.7480
_________
1.2525
```

### Final Answer
Thus, \(3.0005 - 1.748 = 1.2525\).

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