Question

Use long division to convert 1120
to a decimal.(

Answer 1

To convert the fraction \(\frac{1120}{1000}\) to a decimal using long division, we'll divide 1120 by 1000.

1. **Set up the long division:**
- 1120 is the dividend (inside the division bar).
- 1000 is the divisor (outside the division bar).

2. **Divide:**
- 1000 goes into 1120 once because \(1000 \times 1 = 1000\).

3. **Subtract:**
- Subtract 1000 from 1120:
\[
1120 - 1000 = 120
\]

4. **Bring down:**
- We don’t have any more digits to bring down yet. However, since it’s not zero, we can add a decimal point and a zero to continue the division. Now, we need to consider 1200.

5. **Divide again:**
- 1000 goes into 1200 once because \(1000 \times 1 = 1000\).

6. **Subtract:**
- Subtract 1000 from 1200:
\[
1200 - 1000 = 200
\]

7. **Bring down:**
- Bring down another zero to make it 2000.

8. **Divide again:**
- 1000 goes into 2000 twice because \(1000 \times 2 = 2000\).

9. **Subtract:**
- Subtract 2000 from 2000:
\[
2000 - 2000 = 0
\]

Now that we have reached 0, we can conclude.

The result of the long division is:
\[
1120 \div 1000 = 1.12
\]

Thus, the decimal representation of \(\frac{1120}{1000}\) is **1.12**.