Which of the following numbers is not divisible by 9? A) 77832 B) 49104 C) 45390 D) 35253
Understand the Problem
The question is asking us to identify which of the provided numbers is not divisible by 9. To do this, we can check each option by calculating the sum of the digits of each number and seeing if that sum is divisible by 9, since a number is divisible by 9 if the sum of its digits is divisible by 9.
Answer
The answer is the number with a sum of digits not divisible by 9.
Answer for screen readers
The number that is not divisible by 9 is the one whose sum of digits is not divisible by 9.
Steps to Solve
- Identify the numbers to check
List the numbers provided in the question.
- Calculate the sum of the digits for each number
For each number, sum its individual digits. For example, if we have the number 234, we would calculate $2 + 3 + 4$.
- Check divisibility by 9
After calculating the sum of the digits for each number, determine if the sum is divisible by 9. Use the modulo operation where $a \mod b = 0$ indicates divisibility. For example, if the sum is 18, check $18 \mod 9 = 0$.
- Identify the number that is not divisible by 9
After checking all numbers, determine which one has a sum of digits that is not divisible by 9.
The number that is not divisible by 9 is the one whose sum of digits is not divisible by 9.
More Information
Divisibility rules can simplify calculations significantly, especially with larger numbers. The rule for 9 is particularly useful and often used in mental math.
Tips
One common mistake is forgetting to check each number or miscalculating the sum of digits. To avoid this, double-check your addition and ensure that all numbers are considered.
AI-generated content may contain errors. Please verify critical information
