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Show that every positive integer even integeris of the form 2q ,and that every positve odd integer is of the form 2q+1 where q is some integer

Posted by Prachi Jain 4 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Prachi Jain 4 years, 8 months ago

Thnq

1Thank You

Yogita Ingle 4 years, 8 months ago

let 'a' be any positive integer and b=2
By euclid's division algorithm
a=bq+r 0≤r<b
a=2q+r 0≤r<2
(i.e) r =0,1
r=0 , a=2q+0=> a=2q
r=1, a=2q+1
if a is the form of 2q then 'a' is an even integer and positive odd integer is of the form 2q+1

2Thank You

ANSWER

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