Simplify :
1 - 10.5 + 12.213

Answer

To simplify the expression \( 1 - 10.5 + 12.213 \), we can follow these steps:

### Step 1: Rearrange the expression
We can rearrange the expression to make it easier to calculate:
\[ 1 - 10.5 + 12.213 = 1 + 12.213 - 10.5 \]

### Step 2: Add \( 1 \) and \( 12.213 \)
Now, let's add \( 1 \) and \( 12.213 \):
\[ 1 + 12.213 = 13.213 \]

### Step 3: Subtract \( 10.5 \) from \( 13.213 \)
Next, we will subtract \( 10.5 \) from \( 13.213 \):
\[ 13.213 - 10.5 \]

To perform the subtraction, we can align the numbers by their decimal points:
```
13.213
- 10.500
```

### Step 4: Perform the subtraction
Now, we subtract:
- Start from the rightmost digit:
- \( 3 - 0 = 3 \)
- \( 1 - 0 = 1 \)
- \( 2 - 5 \): Since \( 2 < 5 \), we need to borrow 1 from the next column (the 3 becomes 2, and the 2 becomes 12):
- \( 12 - 5 = 7 \)
- \( 2 - 0 = 2 \)
- \( 1 - 1 = 0 \)

Putting it all together, we get:
\[ 13.213 - 10.5 = 2.713 \]

### Final Answer
Thus, the simplified result is:
\[ \boxed{2.713} \]

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