Workout :
19.27 -3.6 - 8.812 + 0.84

Answer

To solve the expression \( 19.27 - 3.6 - 8.812 + 0.84 \), we will follow these steps:

### Step 1: Convert all numbers to have the same number of decimal places
We need to express all numbers with three decimal places for easier subtraction and addition.

- \( 19.27 \) becomes \( 19.270 \)
- \( 3.6 \) becomes \( 3.600 \)
- \( 8.812 \) already has three decimal places.
- \( 0.84 \) becomes \( 0.840 \)

Now, we rewrite the expression:
\[ 19.270 - 3.600 - 8.812 + 0.840 \]

### Step 2: Perform the first subtraction \( 19.270 - 3.600 \)
Align the numbers by the decimal point:
```
19.270
- 3.600
---------
```
Now, subtract:
- From the thousandths place: \( 0 - 0 = 0 \)
- From the hundredths place: \( 7 - 0 = 7 \)
- From the tenths place: \( 2 - 6 \) (we need to borrow, so it becomes \( 12 - 6 = 6 \))
- From the units place: \( 8 - 3 = 5 \)

Thus, we get:
\[ 19.270 - 3.600 = 15.670 \]

### Step 3: Perform the second subtraction \( 15.670 - 8.812 \)
Align the numbers:
```
15.670
- 8.812
---------
```
Now, subtract:
- From the thousandths place: \( 0 - 2 \) (we need to borrow, so it becomes \( 10 - 2 = 8 \))
- From the hundredths place: \( 6 - 1 = 5 \)
- From the tenths place: \( 7 - 8 \) (we need to borrow, so it becomes \( 17 - 8 = 9 \))
- From the units place: \( 5 - 8 \) (we need to borrow, so it becomes \( 15 - 8 = 6 \))

Thus, we get:
\[ 15.670 - 8.812 = 6.858 \]

### Step 4: Perform the addition \( 6.858 + 0.840 \)
Align the numbers:
```
6.858
+ 0.840
---------
```
Now, add:
- From the thousandths place: \( 8 + 0 = 8 \)
- From the hundredths place: \( 5 + 4 = 9 \)
- From the tenths place: \( 8 + 8 = 16 \) (write down 6 and carry over 1)
- From the units place: \( 6 + 0 + 1 = 7 \)

Thus, we get:
\[ 6.858 + 0.840 = 7.698 \]

### Final Answer:
The final result of the expression \( 19.27 - 3.6 - 8.812 + 0.84 \) is:
\[ \boxed{7.698} \]