Use long division to convert 1120

to a decimal.(1 point)
$$

1 answer

To convert the fraction \( \frac{1120}{1} \) to a decimal using long division, we'll actually interpret it as \( 1120 \div 1 \):

  1. Set up the long division: \[ 1120 \div 1 \]

  2. Divide 1120 by 1:

    • The first digit is 1; \( 1 \div 1 = 1 \).
    • Write 1 above the dividend (in this case, 1120).
    • Subtract \( 1 \) from \( 1 \) to get \( 0 \).
  3. Bring down the next digit (which is 1 from 1120):

    • Now we have \( 0 \) from the previous step and \( 1 \), making it \( 01 \).
    • \( 1 \div 1 = 1 \), write 1 above the dividend.
    • Subtract \( 1 \) from \( 1 \) to get \( 0 \).
  4. Bring down the next digit (which is 2 from 1120):

    • Now we have \( 0 \) from the previous step and \( 2 \), making it \( 02 \).
    • \( 2 \div 1 = 2 \), write 2 above the dividend.
    • Subtract \( 2 \) from \( 2 \) to get \( 0 \).
  5. Bring down the last digit (which is 0 from 1120):

    • Now we have \( 0 \) from the previous step and \( 0 \), making it \( 00 \).
    • \( 0 \div 1 = 0 \), write 0 above the dividend.
    • Subtract \( 0 \) from \( 0 \) to get \( 0 \).

Now we have completed the division, and the result of \( 1120 \div 1 \) is:

\[ 1120 \]

So, converting the fraction to a decimal gives you:

\[ \boxed{1120.0} \]