Use long division to convert 2716

Question

to a decimal.(1 point)
Responses

2.4375
2.4375

2.2857
2.2857

2.716
2.716

0.4375

Answer 1

To convert 2716 to a decimal using long division, we need to divide 2716 by 1000, as indicated by the placement of the decimal.

When we perform the division:

1. Start by setting up the long division:

   • 2716 ÷ 1000.

2. Since 2716 is greater than 1000, we can divide:

   • 1000 goes into 2716 two times (2).
   • 2 × 1000 = 2000.

3. Subtract 2000 from 2716:

   • 2716 - 2000 = 716.

4. Bring down two zeros (as we're dividing by 1000) to get 71600.

5. Now, we divide 71600 by 1000.

   • 1000 goes into 71600 seventy-one times (71).
   • 71 × 1000 = 71000.

6. Subtract 71000 from 71600:

   • 71600 - 71000 = 600.

7. Bring down a zero to get 6000.

   • 1000 goes into 6000 six times (6).
   • 6 × 1000 = 6000.

8. Subtract 6000 from 6000:

   • 6000 - 6000 = 0, which means there is no remainder.

Now we can write the quotient from our divisions:

• The whole number part is 2 and when we include the decimal we have 2.716.

So, the converted decimal of 2716 is 2.716.

Thus, the correct response is:

2.716