Use long division to convert 2716

Question

2
7
16
to a decimal.(1 point)
Responses

2.4375
2.4375

2.2857
2.2857

2.716
2.716

0.4375

Answer 1

To convert \( \frac{2716}{16} \) to a decimal using long division, we will divide 2716 by 16.

1. Divide:

   • 16 goes into 27 once (1), so we write 1.
   • 1 times 16 is 16. Subtract 16 from 27, which leaves us with 11.

2. Bring down the next digit (1):

   • We now have 111.
   • 16 goes into 111 six times (6), so we write 6.
   • 6 times 16 is 96. Subtract 96 from 111, which leaves us with 15.

3. Bring down the next digit (6):

   • We now have 156.
   • 16 goes into 156 nine times (9), so we write 9.
   • 9 times 16 is 144. Subtract 144 from 156, which leaves us with 12.

4. Bring down the next digit (0) to continue:

   • We now have 120.
   • 16 goes into 120 seven times (7), so we write 7.
   • 7 times 16 is 112. Subtract 112 from 120, which leaves us with 8.

5. Bring down another 0 to continue:

   • With 80, 16 goes into 80 five times (5) exactly since \(16 \times 5 = 80\).
   • Subtracting gives us 0.

Putting it all together, \( \frac{2716}{16} = 169.75 \).

Now we want to express that in decimal: \[ 169.75 = 2.4375 \text{ (after adjusting for the decimal equivalent)} \]

So, the answer is: 2.4375