Use long division to convert 1320

to a decimal.

1 answer

To convert the whole number 1320 into a decimal using long division, we can divide it by 1, which will simply retain the value of 1320 but place a decimal point.

However, if you want to see how to represent 1320 as a decimal number with a specific denominator, let's say we divide by 10 to convert it to its decimal representation.

Here’s how we can divide 1320 by 10 using long division:

  1. Set up the long division:

      ____132.0
    10 | 1320.0
    
  2. Determine how many times 10 goes into 13. It fits once:

       1
      ----
    10 | 1320.0
        -10
        ----
         32
    
  3. Bring down the next digit, which is 2, making it 32.

  4. Now, determine how many times 10 fits into 32. It fits 3 times:

       1 3
      ----
    10 | 1320.0
        -10
        ----
         32
        -30
        ----
          2
    
  5. Bring down the next digit (0), making it 20.

  6. Determine how many times 10 fits into 20. It fits 2 times:

       1 3 2
      ----
    10 | 1320.0
        -10
        ----
         32
        -30
        ----
          20
         -20
         ----
           0
    

After performing the long division, we find that:

\[ 1320 \div 10 = 132.0 \]

Thus, 1320 as a decimal when divided by 10 is 132.0. If your goal was simply to express 1320 as a decimal, it is already a decimal number: 1320.0.