Find all values of the missing digit that make the statement true.
5,33_ is divisible by 11.
A) 8
B) 6
C) 1
D) 5
Try them and see.
It isn't 5338.
Only one will work, since the evenly divisible numbers are 11 apart.
d 5
because if u try 1 8 or 6 it will not work.
Correct
To determine if a number is divisible by 11, you can use the divisibility rule for 11. According to the rule, the difference between the sum of the digits in even positions and the sum of the digits in odd positions must be a multiple of 11.
Let's evaluate each option and determine which one satisfies this rule.
A) If the missing digit is 8, the number becomes 5338. The sum of the digits in even positions (5 + 3) is 8. The sum of the digits in odd positions (3 + 8) is 11. The difference is 8 - 11 = -3, which is not a multiple of 11. Therefore, 5338 is not divisible by 11 when the missing digit is 8.
B) If the missing digit is 6, the number becomes 5336. The sum of the digits in even positions (5 + 3) is 8. The sum of the digits in odd positions (3 + 6) is 9. The difference is 8 - 9 = -1, which is not a multiple of 11. Therefore, 5336 is not divisible by 11 when the missing digit is 6.
C) If the missing digit is 1, the number becomes 5331. The sum of the digits in even positions (5 + 3) is 8. The sum of the digits in odd positions (3 + 1) is 4. The difference is 8 - 4 = 4, which is a multiple of 11. Therefore, 5331 is divisible by 11 when the missing digit is 1.
D) If the missing digit is 5, the number becomes 5335. The sum of the digits in even positions (5 + 3) is 8. The sum of the digits in odd positions (3 + 5) is 8. The difference is 8 - 8 = 0, which is a multiple of 11. Therefore, 5335 is divisible by 11 when the missing digit is 5.
Based on these evaluations, the correct answer is:
D) 5