Math Misconception Test

To determine whether 9.11 is greater than 9.9, we need to compare the two decimal numbers carefully.

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Step 1: Align the Numbers

To make the comparison clear, we can express both numbers with the same number of decimal places:

• 9.11 (already has two decimal places)
• 9.9 → 9.90 (adding a zero to match decimal places)

Now we have:

9.11
9.90

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Step 2: Compare Digit by Digit

Start from the leftmost digit and move right:

• Units place: Both numbers have 9 → equal.
• Tenths place: 1 vs 9 → 9 > 1

Since 9 > 1 in the tenths place, we can conclude that 9.90 > 9.11, and thus 9.9 > 9.11.

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Step 3: Alternative Verification (Optional)

To double-check, we can:

• Multiply both numbers by 100 to eliminate decimals:
  • 9.11 × 100 = 911
  • 9.9 × 100 = 990

Now compare the integers: 990 > 911, confirming that 9.9 > 9.11.

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Final Conclusion

Since 9.9 > 9.11, the statement "Is 9.11 greater than 9.9?" is false.

$$ \boxed{No} $$