Math Misconception Test

Claude 3 7 Sonnet Thinking's response to the Tests an AI's understanding of number representation

Claude 3.7 Thinking Sonnet

February 27, 2025

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Prompt

Is 9.11 greater than 9.9?

Claude 3.7 Thinking SonnetMath Misconception Test

Claude 3.7 Thinking Sonnet

No, 9.11 is not greater than 9.9.

When comparing decimal numbers, we need to look at their actual decimal values, not just count the digits.

9.9 = 9.90 = 9 + 0.9 = 9 + 9/10 = 9 + 0.90 9.11 = 9 + 0.11 = 9 + 11/100

0.9 (or 0.90) equals 90/100, which is greater than 0.11 (which equals 11/100).

Therefore, 9.9 is greater than 9.11.

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