Question

What is the smallest 5-digit number exactly divisible by 999?

• A. 19,999
• B. 10,989
• C. 10,899
• D. 10,999

Answer 1

Answer:

B. 10,989

The smallest 5-digit number exactly divisible by 999 is 10,989.

• Identify the smallest 5-digit number: The smallest 5-digit number is 10,000.

• Divide by 999 to find the remainder:
  $10,000 \div 999 = 10 \text{ with a remainder of } 10$

• Find the number to add: Subtract the remainder from 999 to see how much more is needed to reach the next perfect multiple.
  $999 - 10 = 989$

• Add this value to the smallest 5-digit number:
  $10,000 + 989 = \mathbf{10,989}$