Using divisibility test, determine which of the following numbers is divisible by 11? a) 8048965
b) 5445
Answers
Step-by-step explanation:
Divisibility rule of 11 says that if the difference of sum of odd places digits and sum of even places digits is either 0 or 11 then the number is divisible by 11.
a). 8048965
sum of odd places digits = 8+4+9+5=26
sum of even places digits = 0+8+6= 14
Difference = 26-14=12
so, 8048965 is not divisible by 11
b). 5445
sum of odd places digits = 5+4= 9
sum of even places digits = 4+5= 9
Difference = 9-9= 0
so, 5445 is divisible by 11
Step-by-step explanation:
1.8048965
Even digits = 8,4,8,6
Odd digits=9,5
- Sum of even digits=26
- Sum of odd digits=14
- Divisibliity rule of 11= If the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11
- 26-14=12
Not divisible by 11
2.5445
Even digits = 4,4
Odd digits=5,5
- Sum of even digits=8
•Sum of odd digits=10
Divisibliity rule of 11= If the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11
- 10-8=2
Not divisible by 11