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What is the remainder when 987654321 is divided by 9? (2023)

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Question: What is the remainder when 987654321 is divided by 9? (2023)

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Correct Answer: 0

Exam Year: 2023

Solution: 

The remainder when a number is divided by 9 can be found by summing its digits. The sum of the digits of 987654321 is 45, which is divisible by 9, hence the remainder is 0.

What is the remainder when 987654321 is divided by 9? (2023)

Practice Questions

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What is the remainder when 987654321 is divided by 9? (2023)
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Questions & Step-by-Step Solutions

What is the remainder when 987654321 is divided by 9? (2023)
  • Step 1: Write down the number you want to divide, which is 987654321.
  • Step 2: Break down the number into its individual digits: 9, 8, 7, 6, 5, 4, 3, 2, 1.
  • Step 3: Add all the digits together: 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1.
  • Step 4: Calculate the sum: 9 + 8 = 17, 17 + 7 = 24, 24 + 6 = 30, 30 + 5 = 35, 35 + 4 = 39, 39 + 3 = 42, 42 + 2 = 44, 44 + 1 = 45.
  • Step 5: Now, check if the sum (45) is divisible by 9. Since 45 divided by 9 equals 5 with no remainder, it is divisible.
  • Step 6: Since the sum of the digits is divisible by 9, the remainder when 987654321 is divided by 9 is 0.
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