Fill in the blanks so that the statement is true: 6.45 - 3.78 = ______

Answer

To solve the problem \( 6.45 - 3.78 = \_\_\_\_\_\_\), we will follow these steps:

### Step 1: Align the Numbers
Write the numbers one below the other, aligning the decimal points:
```
6.45
- 3.78
```

### Step 2: Subtract the Hundredths Place
Start with the hundredths place (the two digits after the decimal point):
- We have \(5\) (from \(6.45\)) and \(8\) (from \(3.78\)).
- Since \(5\) is less than \(8\), we need to borrow from the tenths place.

### Step 3: Borrow from the Tenths Place
- The tenths place has \(4\) (from \(6.45\)). When we borrow \(1\) from \(4\), it becomes \(3\), and we add \(10\) to the \(5\) in the hundredths place, making it \(15\).
- Now we can subtract: \(15 - 8 = 7\).

### Step 4: Subtract the Tenths Place
Next, move to the tenths place:
- We now have \(3\) (after borrowing) and \(7\) (from \(3.78\)).
- Since \(3\) is less than \(7\), we need to borrow again from the units place.

### Step 5: Borrow from the Units Place
- The units place has \(6\) (from \(6.45\)). When we borrow \(1\) from \(6\), it becomes \(5\), and we add \(10\) to the \(3\) in the tenths place, making it \(13\).
- Now we can subtract: \(13 - 7 = 6\).

### Step 6: Subtract the Units Place
Finally, subtract the units place:
- We have \(5\) (after borrowing) and \(3\) (from \(3.78\)).
- Subtract: \(5 - 3 = 2\).

### Step 7: Combine the Results
Now, combine the results from each place value:
- The result is \(2.67\).

Thus, the answer to \(6.45 - 3.78\) is \(2.67\).

### Final Answer
\(6.45 - 3.78 = 2.67\)

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