## anonymous one year ago how to convert 3/11 into a decimal without calculator

1. anonymous

@butterflydreamer

2. anonymous

will medal

3. anonymous

4. UsukiDoll

wait we need to divide backwards 11 / 3

5. UsukiDoll

ok that sounds better so instead of writing 3 divided by 11 we have to write 11 divided by 3 |dw:1438086137639:dw|

6. anonymous

yes..

7. UsukiDoll

so 11 can't divide into 3... therefore we put a 0 on the top... then the decimal point and followed by another 0 inside the radicand (which is the number under the radical symbol )

8. arindameducationusc

9. UsukiDoll

|dw:1438086220346:dw|

10. UsukiDoll

so 11 can divide into 30 at least twice so 11 x 2 = 22 |dw:1438086248108:dw|

11. UsukiDoll

since 11 can't divide 8 I have to draw another 0 making the number 80 how many times can 11 go into 80? the closest is 7 because 11 x 7 = 77

12. arindameducationusc

check this.... further @UsukiDoll can explain, Usaki is awesome.

13. UsukiDoll

|dw:1438086315178:dw| then we continue this process until we hit a repeating decimal situation or can get a 0 in the remainder

14. anonymous

yeah im following @arindameducationusc

15. arindameducationusc

In this division it will repeat 0.272727272727......

16. UsukiDoll

an example of a repeating decimal is 0.3555555555555555555555

17. UsukiDoll

or what @arindameducationusc wrote.. that was funny Usaki XD

18. UsukiDoll

but yes when I'm dividing this for a while I am noticing a pattern.. since I have the remainder 3 .. I have to write a 0 in the radicand and drop it down... again how many times that 11 go into 30? 2 times .. 11 x 2 = 22 then I will get an 8. 11 can't divide into 8 so I have to draw another 0 now I have 80 again then 11 can divide into 80 at least 7 times because 11 x 7 = 77 and then 80-77 = 3 so it's a never ending repeating decimal cycle

19. UsukiDoll

a line is drawn on top of the numbers to indicate that these particular numbers are going to repeat and go on and on and on and on....

20. UsukiDoll

@arindameducationusc your work is correct.. :) so fast too XD

21. anonymous

thanks guys @UsukiDoll

22. UsukiDoll

|dw:1438086575073:dw|

23. anonymous

brill explanation!

24. UsukiDoll

thanks XD!

25. anonymous

Lol i agree what @UsukiDoll said about @arindameducationusc but thanks to @arindameducationusc for the attachement

26. UsukiDoll

my drawing was kind of horrible XD. but on my netbook it's even worse. I got no control over the touchpad.

27. anonymous

dont worry pal

28. anonymous

btw where did the 77 go @UsukiDoll

29. UsukiDoll

oh it was squished in here.

30. anonymous

dont we do 77 - 22

31. UsukiDoll

|dw:1438086885416:dw| no we don't do 77-22 at all

32. anonymous

ahh dont matter thanks for the clarification

33. UsukiDoll

maybe image by image will work |dw:1438087026830:dw|

34. UsukiDoll

|dw:1438087143255:dw|

35. UsukiDoll

|dw:1438087206640:dw|

36. anonymous

yeah thanks mate i understand it

37. UsukiDoll

noticed that we have a 3 again? we know that 11 can't divide into 3, so we need to write another 0. |dw:1438087323664:dw| now 11 can divide 30 at least 2 times because 11 x 2 = 22 so now we subtract 30-22= 8 wait a sec we have the same pattern over and over again. STOP! We have a repeating decimal. so the final answer is 0.272727272727

38. anonymous

yess!!