Use long division to convert 1320%0D%0A13%0D%0A20%0D%0A to a decimal.(1 point)

1 answer

To convert \( 1320% \) to a decimal using long division, we first need to understand that \( 1320% \) means \( 1320 \div 100 \).

We can perform the long division of 1320 by 100:

  1. Set up the division: 1320 (the dividend) divided by 100 (the divisor).

  2. Divide:

    • 100 goes into 1320 twelve times (12), since \( 100 \times 12 = 1200 \).
  3. Subtract:

    • Subtract \( 1200 \) from \( 1320 \).
    • \( 1320 - 1200 = 120 \).
  4. Bring down:

    • Next, since there are no more digits to bring down (1320 has only three digits), we can consider this as \( 120.0 \) and bring down a zero.
  5. Divide again:

    • Now we divide 1200 by 100, which goes exactly twelve times (12), since \( 100 \times 12 = 1200 \).
  6. Subtract again:

    • \( 1200 - 1200 = 0 \).

Since we have no remainder and the division is complete, we find that:

\[ 1320 \div 100 = 13.2 \]

Therefore, \( 1320% \) as a decimal is \( 13.2 \).