Use long division to convert 2716 to a decimal.(1 point)

Responses

2.2857
2.2857

0.4375
0.4375

2.4375
2.4375

2.716

1 answer

To convert the integer 2716 to a decimal using long division, we are actually looking to represent the number in a form that makes sense (like dividing it by some other number or finding it in a fractional context). However, since you didn't specify a number to divide by, I will assume you meant dividing it by 1000 to get a decimal.

Let's perform the long division of 2716 by 1000.

  1. Setup the division: 2716 ÷ 1000.

  2. Determine how many times 1000 fits into 2716:

    • 1000 goes into 2716 2 times (because \( 2 \times 1000 = 2000 \)).
  3. Subtract: \[ 2716 - 2000 = 716 \]

  4. Bring down the next digit:

    • Since we are converting it to a decimal, we append a decimal point and a zero to make it 7160. This would be the next step in long division for novel digits.
  5. Continue the division:

    • 1000 goes into 7160 7 times (because \( 7 \times 1000 = 7000 \)).
  6. Subtract: \[ 7160 - 7000 = 160 \]

  7. Bring down the next zero:

    • Now we have 1600.
  8. 1000 goes into 1600:

    • 1 time (because \( 1 \times 1000 = 1000 \)).
  9. Subtract: \[ 1600 - 1000 = 600 \]

  10. Bring down the next zero:

    • Now we have 6000.
  11. 1000 goes into 6000:

    • 6 times (because \( 6 \times 1000 = 6000 \)).
  12. Subtract: \[ 6000 - 6000 = 0 \]

So putting it all together, we have:

  • 2 from \( 1000 \) into \( 2716 \)
  • 7 from \( 1000 \) into \( 7160 \)
  • 1 from \( 1000 \) into \( 1600 \)
  • 6 from \( 1000 \) into \( 6000 \)

The result of \( 2716 ÷ 1000 = 2.716 \).

The correct answer from your responses is:

2.716.