3. Determine whether these numbers are divisible by 8, 9, or 11.
a) 21120
b) 762256
c) 22264
d) 50787
e) 9801
Answers
Answer:
A.
Step-by-step explanation:
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Answer:
DIVISIBILITY OF 8:-
● The Divisibility Rule of 8 is ⇒ The alternative sum of the digits of Number is divisible by 8
This can be understood by the application of above rule in given Numbers
a) 21120 ⇒ 120÷8
therefore it is divisible by 8
b) 762256 ⇒ 256÷8
therefore it is divisible by 8
c) 22264 ⇒ 264÷8
therefore it is divisible by 8
d) 50787 ⇒ = 787÷8
therefore it is divisible by 8
e) 9801 ⇒ = 801÷8
therefore it is not divisible by 8
DIVISIBILITY OF 9:-
● The Divisibility Rule of 9 is ⇒ The alternative sum of the digits of Number is divisible by 9
This can be understood by the application of above rule in given Numbers
a) 21120 ⇒ (2+1+1+2+0)÷9 = 6
therefore it is not divisible by 9
b) 762256 ⇒ (7+6+2+2+5+6)÷9 = 28
therefore it is not divisible by 9
c) 22264 ⇒ (2+2+2+6+4)÷9 = 16
therefore it is not divisible by 9
d) 50787 ⇒ (5+0+7+8+7)÷9 = 27
therefore it is divisible by 9
e) 9801 ⇒ (9+8+0+1)÷9 = 18
therefore it is divisible by 9
DIVISIBILITY OF 11 :-
● The Divisibility Rule of 11 is ⇒ The alternative sum of the digits of Number is divisible by 11
This can be understood by the application of above rule in given Numbers
a) 21120 ⇒ 2-1+1-2+0
therefore it is divisible by 11
b) 762256 ⇒ 7-6+2-2+5-6 = 0
therefore it is divisible by 11
c) 22264 ⇒ 2-2+2-6+4 = 0
therefore it is divisible by 11
d) 50787 ⇒ 5-0+7-8+7 = 11
therefore it is divisible by 11
e) 9801 ⇒ 9-8+0-1 = 0
therefore it is divisible by 11
Step-by-step explanation:
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