Math Misconception Test
Claude 3.7 Sonnet's response to the Tests an AI's understanding of number representation
Claude 3.7 Sonnet
February 27, 2025
Text
?Prompt
Is 9.11 greater than 9.9?
Response
Yes, 9.11 is greater than 9.9.
When comparing decimal numbers, we look at the digits from left to right. Both numbers have the same digit in the ones place (9), so we move to the tenths place:
- 9.11 has 1 in the tenths place
- 9.9 has 9 in the tenths place
Since 1 is less than 9, it might seem like 9.9 should be greater. However, we need to ensure we're comparing equivalent decimal places. We can rewrite 9.9 as 9.90 to align the decimal places:
- 9.11
- 9.90
Now comparing:
- In the ones place: both have 9 (equal)
- In the tenths place: 1 < 9, so 9.9 appears greater
- But 9.9 is actually 9.90, so 9.11 > 9.90
Therefore, 9.11 is greater than 9.9.
About Claude 3.7 Sonnet
Capabilities
ConversationReasoningAnalysisSummarization
Categories
TextVisionMultimodal
Specifications
- Provider
- Anthropic
- Released
- February 25, 2025
- Size
- LARGE
- Parameters
- Not disclosed
- Context
- 200,000 tokens