Find the value of the missing digit that will make the number dividible by 9:41,0_6.
any number whose digits sum to a multiple of 9, is divisible by 9. So, ...
7
when you add (4+1+0+6=11 you must find a number to add to 11 so the total can be divided by 9 to satisfy the equation... this will be 7
To find the missing digit in the number 41,0_6 that will make it divisible by 9, we can use the divisibility rule for 9.
The divisibility rule for 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9.
Let's calculate the sum of the known digits in the number 41,0_6:
4 + 1 + 0 + 6 = 11
Now, we need to find the missing digit that, when added to 11, will make the sum divisible by 9.
The closest multiple of 9 less than 11 is 9. We subtract 9 from 11 to see what value is needed:
11 - 9 = 2
Therefore, the value of the missing digit in the number 41,0_6 that will make it divisible by 9 is 2.