Question

fill in the blank with the smallest Digit to make 505___ 5 divisible by 11

Answer 1

Answer:50545

Step-by-step explanation:

Hey there, you deleted my answer last time. But this time I'll explain. Sorry for the last time

To find if a number is divisible with 11, we use the following divisibility rule.

For example,  if we have to find if 121 is divisible by 11, we take the sum of the alternate numbers and the remaining numbers.

This means that in 121, we take the first and third digits which are 1 and 1

Their sum will be 1+1=2

The sum of the remaining numbers will be 2+0=2

Now, we subtract the sum of the remaining numbers from the alternate numbers(I have used alternate and remaining cause the alternate numbers are alternating)

This means, 2-2=0

If after the subtraction the final answer is either 0 OR  a multiple of 11, then the number is divisible.

In the number 505_5, we take the sum of the alternate numbers

The alternating numbers are 5,5 and 5

Therefore, their sum=5+5+5=15

The remaining numbers are 0 and _

Their sum = 0+_=0

Now, on subtracting the alt. numbers by the remaining numbers

15-0=15

Now to make the final answer, after subtracting, a multiple of 11, we substitute the blank by 4(Because 15-11=4)

Now the sum of remaining numbers = 0+4=4

On subtracting

15-4=11

11 is a multiple of 11

Therefore, the blank will be 4