3 Divisibility Rule for 11
Fabebanks and complete the table
Sum of the digits Sum of the digits Difference is the difference
at odd places at even places
divisible
from the right) from the right)
$0927
19091908 8-9-9-9=35
0-1-0-1=2
35-2=33
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Answers
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ANSWER
If the difference of the sum of alternative digits of a number is divisible by 11 then that number is divisible by 11.
In order to check whether a number like 2143 is divisible by 11 following is the procedure.
Group the alternative digits i.e. digits which are in odd places together and digits in even places together. Here, 24 and 13 are two groups.
Take the sum of the digits of each group i.e. 2+4=6 and 1+3=4
Now find the difference of the sums; 6−4=2
If the difference is divisible by 11, then the original number is also divisible by 11. Here 2 is the difference which is not divisible by 11.
Therefore, 2143 is not divisible by 11.
Hence, the statement a number is divisible by 11 if the difference of sums of even and odd places is 0 or a multiple of 11 is true.