how to convert 3/11 into a decimal without calculator

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how to convert 3/11 into a decimal without calculator

Mathematics
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@midhun.madhu1987

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Other answers:

wait we need to divide backwards 11 / 3
ok that sounds better so instead of writing 3 divided by 11 we have to write 11 divided by 3 |dw:1438086137639:dw|
yes..
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 )
1 Attachment
|dw:1438086220346:dw|
so 11 can divide into 30 at least twice so 11 x 2 = 22 |dw:1438086248108:dw|
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
check this.... further @UsukiDoll can explain, Usaki is awesome.
|dw:1438086315178:dw| then we continue this process until we hit a repeating decimal situation or can get a 0 in the remainder
yeah im following @arindameducationusc
In this division it will repeat 0.272727272727......
an example of a repeating decimal is 0.3555555555555555555555
or what @arindameducationusc wrote.. that was funny Usaki XD
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
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....
@arindameducationusc your work is correct.. :) so fast too XD
thanks guys @UsukiDoll
|dw:1438086575073:dw|
brill explanation!
thanks XD!
Lol i agree what @UsukiDoll said about @arindameducationusc but thanks to @arindameducationusc for the attachement
my drawing was kind of horrible XD. but on my netbook it's even worse. I got no control over the touchpad.
dont worry pal
btw where did the 77 go @UsukiDoll
oh it was squished in here.
dont we do 77 - 22
|dw:1438086885416:dw| no we don't do 77-22 at all
ahh dont matter thanks for the clarification
maybe image by image will work |dw:1438087026830:dw|
|dw:1438087143255:dw|
|dw:1438087206640:dw|
yeah thanks mate i understand it
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
yess!!

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