In a number, if the difference between twice the digit in one's place and the number formed by other digits is either zero or a multiple of 7, then the number is divisible by 7.
Example 1 :
Check whether 91 is divisible by 7.
Solution :
In the given number 91, twice the digit in one's place is
= 2 ⋅ 1
= 2
The number formed by the digits except the digit in one's place is
= 9
The difference between twice the digit in one's place and the number formed by the other digits is
= 9 - 2
= 7
7 is divisible by 7.
So, the given number 91 is divisible by 7.
Example 2 :
Check whether 504 is divisible by 7.
Solution :
In the given number 504, twice the digit in one's place is
= 2 ⋅ 4
= 8
The number formed by the digits except the digit in one's place is
= 50
The difference between twice the digit in one's place and the number formed by the other digits is
= 50 - 8
= 42
42 is divisible by 7.
So, the given number 504 is divisible by 7.
Example 3 :
Check whether 783 is divisible by 7.
Solution :
In the given number 783, twice the digit in one's place is
= 2 ⋅ 3
= 6
The number formed by the digits except the digit in one's place is
= 78
The difference between twice the digit in one's place and the number formed by the other digits is
= 78 - 6
= 72
72 is not divisible by 7.
So, the given number 783 is not divisible by 7.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Jan 28, 23 08:20 AM
Jan 28, 23 08:18 AM
Jan 22, 23 08:30 AM