what should be added to the following numbers to make them divisible by 9? 241,861,4441,83504
Answers
Answer:
241 + 2
861 + 3
4441 + 5
83504 + 7
Step-by-step explanation:
DIVISIBILITY RULE OF 9 IS THAT SUM OF NUMBERS SHOULD BE DIVISIBLE BY 9
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Answer:
2, 3, 5 and 7 should be added to 241, 861, 4441 and 83504 respectively.
Step-by-step explanation:
Given problem
what should be added to the given numbers to make them divisible by 9
given numbers i) 241, ii) 861, iii) 4441, iv) 83504
Note : The divisibility law of 9 states that if the sum of the digits of given number is divisible by 9 then the given number will also divisible by 9
⇒ here we need to add a number to give number so that the sum of the digits in the number should be divisible by 9
i) 241
sum of the digits = 2 + 4 + 1 = 7 [ which is not divisible by 9 ]
⇒ add 2 to 241 = 241 + 2 = 243
sum of the digits of 243 = 2 + 4 + 3 = 9 [ 9 is divisible by 9]
⇒ 2 should be added to 241
ii) 861
sum of the digits = 8 + 6 + 1 = 15
⇒ add 3 to 861 = 861 + 3 = 864
sum of the digits of 864 = 8 + 6 + 4 = 18 [ 18 is divisible by 9]
⇒ 3 should be added to 861
iii) 4441
sum of the digits = 4 + 4 + 4 + 1 = 13
⇒ add 5 to 4441 = 4441 + 5 = 4446
sum of the digits of 4446 = 4 + 4 + 4 + 6 = 18
⇒ 5 should be added to 4441
iv) 83504
sum of the digits = 8 + 3 + 5 + 0 +4 = 20
⇒ add 9 to 83504 = 83504 +7 = 83511
sum of the digits in 83511 = 8 + 3 + 5 + 1 + 1 = 18
⇒ 7 should be added to 83504