Without dividing, determine if 85,939 is divisible by 9 and explain how you know.

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The sum of the digits of 85,939 is 34, which is not divisible by 9. Therefore, 85,939 is not divisible by 9. To determine if the number 85,939 is divisible by 9, we can use the rule of divisibility for 9, which states that a number is divisible by 9 if the sum of its digits is divisible by 9. Let's find the sum of the digits of 85,939: - The digits are: 8, 5, 9, 3, and 9. - Now, we add them together: $$ 8 + 5 + 9 + 3 + 9 = 34 $$ Next, we need to check if 34 is divisible by 9. We can do this by summing the digits of 34: - The digits of 34 are: 3 and 4. - Adding these digits gives us: $$ 3 + 4 = 7 $$ Now, we check if 7 is divisible by 9. Since 7 is less than 9 and not equal to 9, it is not divisible by 9. Since the sum of the digits of 85,939 (which is 34) is not divisible by 9, we conclude that 85,939 is also not divisible by 9. Thus, **85,939 is not divisible by 9**.

Without dividing, determine if 85,939 is divisible by 9 and explain how you know.

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Without dividing, determine if 85,939 is divisible by 9 and explain how you know.

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