Determine whether the given statement is true or false, and indicate why this is so.
\[
9 \mid 21,272
\]
Choose the correct answer below.
A. No, because the last two digits do not form a number that is divisible by 9.
B. Yes, because the last two digits form a number that is divisible by 9 .
C. Yes, because the sum of the digits is divisible by 9 .
D. No, because the sum of the digits is not divisible by 9 .
Answer
Final Answer: \(\boxed{\text{D. No, because the sum of the digits is not divisible by 9}}\)
Step 1 ：The divisibility rule for 9 states that a number is divisible by 9 if and only if the sum of its digits is divisible by 9. Therefore, to determine whether 21,272 is divisible by 9, we need to calculate the sum of its digits and check whether this sum is divisible by 9.
Step 2 ：Calculate the sum of the digits of 21,272: \(2+1+2+7+2=14\)
Step 3 ：Check if the sum of the digits, 14, is divisible by 9. It is not.
Step 4 ：Final Answer: \(\boxed{\text{D. No, because the sum of the digits is not divisible by 9}}\)
