Show that if a palindrome is 4 digits, it would be divisible by 11?
Show that if a palindrome is 4 digits, it would be divisible by 11?
Pawan Prajapati , 5 Years ago
Grade 12
8 grade maths> Show that if a palindrome is 4 digits, it...
1 AnswersHarshit Singh
Dear Student
Let us assume abba is the four-digit palindrome.
So, abba = a x 1000 + b x 100 + b x 10 + a
= 1001a +110b
= 91 x 11a + 110b
= 11 x (91a + 10b)
Hence Proved.
Thanks
Let us assume abba is the four-digit palindrome.
So, abba = a x 1000 + b x 100 + b x 10 + a
= 1001a +110b
= 91 x 11a + 110b
= 11 x (91a + 10b)
Hence Proved.
Thanks
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