To find the smallest value of x for 46x6 to be divisible by 11, we need to find the smallest integer value of x that satisfies this condition.
For a number to be divisible by 11, the difference between the sum of its digits in odd positions and the sum of its digits in even positions must be divisible by 11.
The number 46x6 can be split into odd and even positions as follows:
Odd positions: 4 and 6 (sum = 4 + 6 = 10)
Even positions: x and 6 (sum = x + 6)
Now, we need to find the smallest value of x such that (10 - (x + 6)) is divisible by 11.
10 - (x + 6) = 4 - x
For the expression to be divisible by 11, the smallest possible value of (4 - x) should be 0, 11, 22, 33, or any multiple of 11.
The smallest value for x that satisfies this condition is x = 4.
Thus, the smallest value of x for 46x6 to be divisible by 11 is x = 4.
Divisibility rule of 11 :- the given number can only be completely divided by 11 if the difference of the sum of digits at odd position and sum of digits at even position in a number is 0 or multiple of 11.
Answers & Comments
Step-by-step explanation:
To find the smallest value of x for 46x6 to be divisible by 11, we need to find the smallest integer value of x that satisfies this condition.
For a number to be divisible by 11, the difference between the sum of its digits in odd positions and the sum of its digits in even positions must be divisible by 11.
The number 46x6 can be split into odd and even positions as follows:
Odd positions: 4 and 6 (sum = 4 + 6 = 10)
Even positions: x and 6 (sum = x + 6)
Now, we need to find the smallest value of x such that (10 - (x + 6)) is divisible by 11.
10 - (x + 6) = 4 - x
For the expression to be divisible by 11, the smallest possible value of (4 - x) should be 0, 11, 22, 33, or any multiple of 11.
The smallest value for x that satisfies this condition is x = 4.
Thus, the smallest value of x for 46x6 to be divisible by 11 is x = 4.
Answer:
4
Step-by-step explanation:
Divisibility rule of 11 :- the given number can only be completely divided by 11 if the difference of the sum of digits at odd position and sum of digits at even position in a number is 0 or multiple of 11.
Hope you got your answer.
*Mark Brainliest*