Use long division to convert 415 to a decimal.(1 point)%0D%0AResponses%0D%0A%0D%0A≈0.27%0D%0Aapproximately equals 0.27%0D%0A%0D%0A4.15%0D%0A4.15%0D%0A%0D%0A3.75%0D%0A3.75%0D%0A%0D%0A26

Answer 1

To convert the integer 415 to a decimal, you will divide it by 100, which essentially shifts the decimal point two places to the left.

Here's how you would use long division to convert 415 into a decimal:

1. Divisor and Dividend:

   • Dividend (number being divided): 415
   • Divisor (number to divide by): 100

2. Long division setup: The setup would look like:

     ________
   100 | 415.00
   

3. Divide:

   • 100 goes into 415 four times (4).
   • 4 * 100 = 400.

4. Subtract:

   • Subtract 400 from 415:

        415
      - 400
      ------
         15
   

5. Bring down:

   • Bring down a zero (since we're converting to decimal):

        150
   

6. Divide:

   • 100 goes into 150 one time (1).
   • 1 * 100 = 100.

7. Subtract:

   • Subtract 100 from 150:

        150
      - 100
      ------
         50
   

8. Bring down:

   • Bring down another zero:

        500
   

9. Divide:

   • 100 goes into 500 five times (5).
   • 5 * 100 = 500.

10. Subtract:

• Subtract 500 from 500:

     500
   - 500
   ------
       0

The long division shows that \( 415 \div 100 = 4.15 \).

So, the correct conversion of 415 to decimal is 4.15.