Find the value of `:`
11.6-9.847

Answer

To find the value of \( 11.6 - 9.847 \), we will follow these steps:

### Step 1: Align the numbers by their decimal points
We write the numbers one under the other, aligning the decimal points:

```
11.600
- 9.847
```

### Step 2: Make the decimal places equal
To make the subtraction easier, we can add zeros to the end of \( 11.6 \) to make it \( 11.600 \). This does not change its value.

### Step 3: Subtract starting from the rightmost digit
Now, we will subtract each column starting from the right:

1. **Thousandths place:** \( 0 - 7 \)
- We cannot subtract 7 from 0, so we need to borrow from the next column.
- Borrow 1 from the hundredths place (which becomes 0), making the thousandths place \( 10 \).
- Now, \( 10 - 7 = 3 \).

2. **Hundredths place:** \( 0 - 4 \)
- Again, we cannot subtract 4 from 0, so we borrow from the tenths place.
- Borrow 1 from the tenths place (which becomes 5), making the hundredths place \( 10 \).
- Now, \( 10 - 4 = 6 \).

3. **Tenths place:** \( 5 - 8 \)
- We cannot subtract 8 from 5, so we borrow from the units place.
- Borrow 1 from the units place (which becomes 10), making the tenths place \( 15 \).
- Now, \( 15 - 8 = 7 \).

4. **Units place:** \( 10 - 9 = 1 \).

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

```
11.600
- 9.847
---------
1.753
```

Thus, the value of \( 11.6 - 9.847 \) is \( 1.753 \).

### Final Answer:
The required answer is \( 1.753 \).

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