| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. 6 × (8 × 12) | D |
| deepseekr1 | The problem requires identifying an equivalent expression using the associative property of multiplication. Ms. Fisher's expression is (6 × 8) × 12. The associative property allows regrouping the numbers as 6 × (8 × 12), which matches **Option D**. Other options involve addition or incorrect grouping, leading to different results. **Answer:** D |
D |
| gpto1 | D | D |
| GPT-4o | D. 6 × (8 × 12) | D |
| llama3.1-70B-Instruct | The correct answer is D. |
D |
| llama3.1-405B-Instruct | C |
D |
| DeepSeek-Coder-V2 | D | D |
| Qwen2-72B-Instruct | D. 6 × (8 × 12) | D |
| baichuan4 | D | D |
| doubao | D. 6 × (8 × 12) The original expression is (6 × 8) × 12, which is the same as 6 × (8 × 12). |
D |
| minimax | D. 6 × (8 × 12) | D |
| kimi | D | D |
| wenxinyiyan | D Explanation: According to the associative property of multiplication, changing the grouping of factors does not change the product. Ms. Fisher's expression (6 × 8) × 12 can be regrouped as 6 × (8 × 12) without changing the value of the expression. Let's check the options: A. 6 + (8 + 12) - This expression uses addition instead of multiplication, so it's not equal to Ms. Fisher's expression. B. 6 + (8 × 12) - This expression also uses addition in place of multiplication, so it's not equal. C. 6 × (8 + 12) - This expression groups 8 and 12 with addition inside the parentheses, which changes the value of the expression. It's not equal to Ms. Fisher's expression. D. 6 × (8 × 12) - This expression correctly regroups the factors using multiplication and is equal to Ms. Fisher's original expression. |
D |
| zhipu | To determine which expression is equal to the one used by Ms. Fisher, let's first evaluate the original expression: (6 × 8) × 12 First, calculate the inside parentheses: 6 × 8 = 48 Then multiply by 12: 48 × 12 = 576 Now, we need to find which option also equals 576. A. 6 + (8 + 12) = 6 + 20 = 26 (not equal to 576) B. 6 + (8 × 12) = 6 + 96 = 102 (not equal to 576) C. 6 × (8 + 12) = 6 × 20 = 120 (not equal to 576) D. 6 × (8 × 12) = 6 × 96 = 576 (equal to 576) Therefore, the expression that is equal to (6 × 8) × 12 is: D. 6 × (8 × 12) Answer: D |
D |
| gpto1 | D | D |
| deepseekv3 | The expression used by Ms. Fisher is (6 × 8) × 12. To find an equal expression, we can use the associative property of multiplication, which states that the way in which factors are grouped does not change the product. Therefore: (6 × 8) × 12 = 6 × (8 × 12) Thus, the correct answer is: D. 6 × (8 × 12) |
D |