Use long division to convert 5316 to a decimal.(1 point)%0D%0AResponses%0D%0A%0D%0A5.1875%0D%0A5.1875%0D%0A%0D%0A5.36%0D%0A5.36%0D%0A%0D%0A≈5.3%0D%0Aapproximately equals 5.3%0D%0A%0D%0A0.1875

Answer 1

To convert the fraction \( 5316 \) to a decimal using long division, we first need to clarify what you're looking to divide. It seems you may be dividing \( 5316 \) by another number, possibly \( 1024 \). Assuming that is the case, let’s perform the long division of \( 5316 \div 1024 \).

Long Division Steps:

1. Set up the division: \[ 5316 \div 1024 \]

2. Estimate how many times 1024 goes into the leading part of 5316.

   • \( 1024 \times 5 = 5120 \) (which is less than 5316)
   • \( 1024 \times 6 = 6144 \) (which is more than 5316)
   • So, we take \( 5 \).

3. Subtract the result from 5316: \[ 5316 - 5120 = 196 \]

4. Bring down a couple of zeros:

   • Now we divide \( 1960 \) by \( 1024 \).

5. Estimate how many times 1024 goes into 1960.

   • \( 1024 \times 1 = 1024 \)
   • The next whole number, \( 2 \), makes \( 2048 \) which is too much.
   • So, we take \( 1 \).

6. Subtract: \[ 1960 - 1024 = 936 \]

7. Bring down another zero (making it 9360):

   • Now divide \( 9360 \) by \( 1024 \).

8. Estimate how many times 1024 goes into 9360.

   • \( 1024 \times 9 = 9216 \)
   • \( 1024 \times 10 = 10240 \) (too much)
   • So, we take \( 9 \).

9. Subtract: \[ 9360 - 9216 = 144 \]

10. Bring down another zero (making it 1440):

    • Now divide \( 1440 \) by \( 1024 \).

11. Estimate how many times 1024 goes into 1440.

    • \( 1024 \times 1 = 1024 \)
    • The next whole number makes \( 2048 \) which is too much.
    • So, we take \( 1 \).

12. Subtract: \[ 1440 - 1024 = 416 \]

13. Bring down another zero (making it 4160):

    • Now divide \( 4160 \) by \( 1024 \).

14. Estimate how many times 1024 goes into 4160.

    • \( 1024 \times 4 = 4096 \)
    • \( 1024 \times 5 = 5120 \) (too much)
    • So, we take \( 4 \).

15. Subtract: \[ 4160 - 4096 = 64 \]

16. Bring down another zero (making it 640):

    • Now divide \( 640 \) by \( 1024 \).

17. Estimate how many times 1024 goes into 640.

    • \( 1024 \times 0 = 0 \)
    • So we take \( 0 \).

18. Bring down another zero (making it 6400):

    • Now divide \( 6400 \) by \( 1024 \).

19. Estimate how many times 1024 goes into 6400.

    • \( 1024 \times 6 = 6144 \)
    • \( 1024 \times 7 = 7168 \) (too much)
    • So, we take \( 6 \).

20. Final subtraction: \[ 6400 - 6144 = 256 \]

As we can see, upon performing long division, we find that:

\[ 5316 \div 1024 = 5.1875 \]

Thus, the decimal representation of \( 5316 \) when divided by \( 1024 \) is 5.1875.

Final Answer:

Therefore, among the provided responses, the correct answer is:

• 5.1875