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Lesson12 Division by 11: Steps Write Number 47894, Take Last Digit

The document provides steps for dividing numbers by 11 mentally. It explains that to divide a number by 11, one subtracts the last digit from the sum of the digits in even positions, subtracting it from the next place value if needed. Any non-zero remainder means the number is not divisible by 11. Examples show dividing numbers both divisible and not divisible by 11, accounting for carries in the process.

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155 views4 pages

Lesson12 Division by 11: Steps Write Number 47894, Take Last Digit

The document provides steps for dividing numbers by 11 mentally. It explains that to divide a number by 11, one subtracts the last digit from the sum of the digits in even positions, subtracting it from the next place value if needed. Any non-zero remainder means the number is not divisible by 11. Examples show dividing numbers both divisible and not divisible by 11, accounting for carries in the process.

Uploaded by

rupeshraj
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOC, PDF, TXT or read online on Scribd
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Lesson12 Division by 11

Here we learn division by 11 It is very easy and you can do it mentally very fast First we check particular number is divisible by 11 or not We already discuss this method in lesson 11 .There are only two possibilities either that number is divisible by 11 or it is not divisible by 11 Number is divisible by 11 Let the number is 4 !"4 4 ! " 4 total of odd position #total of even position $4%!%4&#$ %"& 1' #1' () so this number is divisible by 11 Steps Write number 4 !"4 *take last di+it ie 4 Write it e,treme ri+ht .............4. -ow subtract 4 from second last di+it ie"#4(. write before 4 our partial answer is ..............4 ./+ain subtract .from! !#.(0 Write before .......4 .-ow our partial answer is ....0.4 *1epeat these steps up to first di+it and +et re2uired answer .Here we subtract 0 from * #0(4 3ur partial answer is 40.4 /+ain subtract 4 from4 4#4() ) is indication we are on ri+ht track 4o 40.4 is re2uired answer

4 " 4 4#4 #0

! !#. "#4

) . ()40.4 4 start from here

Let us see one more e,ample Here we also consider carry .55.( 11

. 4#4 6 )

5 11# 6 4

5 15#. 6

. 6 6. .

start from here

( )4 . is our re2uired answer Number is not divisible by 11 we make first number divisible by 11. Let us take a number .0" This number is not divisible by 11 because difference of total of odd and even position is not ) or 11 .55..... . 0" 4 If we subtract 4 from this number *now this number is certainly divisible by 11 . /nd that number is .0"#4 ( .0. 7y this way we find remainder .Here our remainder is 4 .0" 11 ( .0. 11 % 4 11 $ %0&#$.%"& ( 1) #14 (## 4ame method as we discuss above but

-ow we can solve first part as we done above and for second part it come after

decimal .For it 8ust subtract 1 from remainder here it is 4 so 4#1(0 and for second place subtract 0 from " *"#0(' ie our answer now become . 0' This .0' repeat a+ain and a+ain ie . 0'0'0'0'...... '#' . 14#! 0 10#. .

) answer

'

)'!..0'0'0'...... it is our re2uired 4ee one more e,ample !". 9ifference of odd position and even position %"#!#. (1' #10 (0 If we add 0 to !". it become fully divisible by 11 but our number is increased by 0 so we can not add 0 Here we adopt another method instead of addin+ we subtract 0 from 11 and proceed as above here our remainder is 11#0 (! 4o we subtract ! from !". !". ( !! % ! 11 11 11 1 % ! 11

Here our remainder is ! subtract 1 from it !#1( (5 so after decimal 5 .... ie . 5 5 5... 1e2uired answer is 717.7272727.... Be careful in addition and subtraction of remainders and this is subtract from " "#

7ack

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