Use long division to convert 2716

to a decimal.(1 point)
Responses

0.4375
0.4375

2.716
2.716

2.4375
2.4375

2.2857

1 answer

To convert the whole number 2716 into a decimal using long division, you need to divide 2716 by 1000. This is because moving the decimal three places to the left (for the three zeros in 1000) converts the number into the decimal format.

Here’s the process of division:

  1. Start by dividing 2716 by 1000.
  2. 1000 goes into 2716 two times (because 1000 x 2 = 2000).
  3. Subtract 2000 from 2716. This gives you 716.
  4. Since we are now working in decimal places, we bring down a zero to make it 7160.
  5. 1000 goes into 7160 seven times (because 1000 x 7 = 7000).
  6. Subtract 7000 from 7160. This gives you 160.
  7. Bring down another zero to make it 1600.
  8. 1000 goes into 1600 one time (because 1000 x 1 = 1000).
  9. Subtract 1000 from 1600, which gives you 600.
  10. Bring down another zero to make it 6000.
  11. 1000 goes into 6000 six times (because 1000 x 6 = 6000).
  12. Subtract 6000 from 6000, which gives you 0.

Putting it all together, you have:

  • The whole number part = 2
  • The decimal part = 0.716

So, 2716 divided by 1000 = 2.716.

Thus, the correct answer is 2.716.