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9. find the smallest multiple of 11 greater than 300,000

Question

  1. find the smallest multiple of 11 greater than 300,000

Explanation:

Step1: Divide 300000 by 11

$300000 \div 11 = 27272$ with remainder $8$ (since $11 \times 27272 = 299992$, $300000 - 299992 = 8$)

Step2: Calculate the required multiple

$11 - 8 = 3$, so $300000 + 3 = 300003$? Wait correction: Wait $11×27272=299992$, next multiple is $11×(27272+1)=11×27273=300003$? Wait wait $11×27273=11×(27272+1)=299992+11=300003$. Yes, that's correct. So the answer is 300003.

Wait correction on step1: $300000 ÷11 = 27272.7272...$, integer part is 27272, $11×27272=299992$, difference is 8, so add $11-8=3$ to 300000: 300003. Correct.

Final Answer: 300003

Step1: Divide 300000 by 11

$300000 = 11×27272 + 8$

Step2: Find next multiple

$11×(27272+1) = 300003$

Answer:

300001