replace*by the smallest digit to make the number exactly divisible by 9.(1373*)
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solution:
Divisibility by 9: Numbers are divisible by 9 if the sum of all the individual digits is evenly divisible by 9.
Given number is : 1373*
The above number is divisible by 9 if sum of its digit is divisible by 9.
sum of digit of given number = 1 + 3 + 7 + 3 + *
=> 14 + *
to be divisible by 9, " * " must be replaced by 4, ( 14 + 4 = 18, 18/9 = 2)
Required smallest number for the given number is 4.
Divisibility by 9: Numbers are divisible by 9 if the sum of all the individual digits is evenly divisible by 9.
Given number is : 1373*
The above number is divisible by 9 if sum of its digit is divisible by 9.
sum of digit of given number = 1 + 3 + 7 + 3 + *
=> 14 + *
to be divisible by 9, " * " must be replaced by 4, ( 14 + 4 = 18, 18/9 = 2)
Required smallest number for the given number is 4.
Answered by
0
Answer:
13734
Step-by-step explanation:
divisibility test of 9 = sum of digits of number should be divisible by 9.
1373= 1+3+7+3=14
replacement = nearest multiple of 9 under 14 = 18 ( 9, 18, 27....)
to get the number, subtract 14 from 18 that is 4.
Now, replace the digit of that number and check.
13734= 1+3+7+3+4 = 18
18 is divisible by 9, so the whole number if divisible by 9.
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