Divisibility Rule of 5
Divisibility Rule of 5
Divisibility Rule of 5:
A number is divisible by 5, if its units digit is 0 or 5.
Justification:
Let n be any natural number. Then, n can be written as
n = 10a + b, where b is the units digit of n
Clearly, 10 is a multiple of 5. Therefore, 10a is also a multiple of 5.
The sum of any two multiples of 5 is a multiple of 5. Therefore, 10a+b will be a multiple of 5, if b is a multiple of 5.
Thus, an integer is divisible by 5, if its units digit is a multiple of 5. That is its units digit is either 0 or 5.
Hence the Test of Divisibility By 5 that is a number is divisible by 5, if its units digit is 0 or 5 is justified.
This implies that if the units digit of a number is not 0 or 5, then it is not divisible by 5.
In the general form since 10a is a multiple of 5. Therefore , when 10a + b is divided by 5, the remainder will be equal to the remainder when n is divided by 5.
Thus, the remainder when an integer is divided by 5 is equal to the remainder when its units digit is divided by 5.
Illustration : Write 521 in the form 10b + a then check its divisibility by 5
Solution: We will express 521 in the form 10b + a
where a = 1 and b = 52.
When 1 is divided by 5 it leaves a remainder as 1, So when 521 is divided by 5, the remainder is 1.
Check which of the following numbers are divisible by 5? 638055, 89460, 75670, 98765 , 89763 , 87984 ,37987, 78966, 98750, 56780 | |||
| Right Option : D | |||
| View Explanation | |||
If a number divided by 5 leaves remainder 1, what might be the ones digit of number? | |||
| Right Option : A | |||
| View Explanation | |||
Check which of the following numbers are not divisible by 5? 12638055, 2789460, 6775670, 7898765, 5689763, 5787984, 6537987 | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
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Archit Segal
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