Divisibility Rule for 10


Divisibility Rules II - Concepts
Class - 7th Foundation NTSE Subjects
 
 
Concept Explanation
 

Divisibility Rule for 10

Divisibility Rule of 10: This rule is used to check whether a number is divisible by 10 or not without performing long division.  The rule states that a number is divisible by 10 if and only if tis units digit is zero.

Justification: Let ...cba be an arbitrary number whose ones digit is a, tens digit is b, hundreds digit is c and so on. Then,the number can be expanded as

 ...cba = .....+100c+10b+a

Rightarrow ;;;; ...cba =10(...+10c+b)+a

Rightarrow ;;;; ...cba=10k+a,;where;k;=...+10c+b

Rightarrow ;;;; ...cba is divisible by 10 if and only if a = 0.

Rightarrow ;;;; ...cba is divisibli by 10 if and only if its units digit is 0.

It follows from the above discussion that a number is divisible by 10 if and only if tis units digit is zero.

Illustration:  Check whether 241630.is divisible by 10.

Solution: To check whether 241630 is divisible by 10. As the digit at the unit place is 0. So the number is divisible by 10.

Illustration:  Check whether 187525.is divisible by 10.

Solution: To check whether 187525 is divisible by 10. As the digit at the unit place is 5. So the number is not divisible by 10.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

The number 4523678 is divisible by?

Right Option : C
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Explanation
 
 
 


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