Use long division to convert 1120

Question

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.