| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. 3980 |
C |
| deepseekr1 | The expression can be simplified by factoring out the common term 1990: \[ 1990 \times 1991 - 1989 \times 1990 = 1990 \times (1991 - 1989). \] Calculating the difference inside the parentheses: \(1991 - 1989 = 2\). Thus, the expression becomes: \[ 1990 \times 2 = 3980. \] The correct answer is **C. 3980**. **Answer:** C |
C |
| gpto1 | C | C |
| GPT-4o | To solve the expression \(1990 \times 1991 - 1989 \times 1990\), we can factor out the common term \(1990\): \[ 1990 \times 1991 - 1989 \times 1990 = 1990 \times (1991 - 1989) \] Next, we simplify inside the parentheses: \[ 1991 - 1989 = 2 \] So the expression becomes: \[ 1990 \times 2 = 3980 \] Thus, the counting number equivalent to the expression is: C. 3980 |
C |
| llama3.1-70B-Instruct | C |
C |
| llama3.1-405B-Instruct | C. 3980 |
C |
| DeepSeek-Coder-V2 | A. 5 | C |
| Qwen2-72B-Instruct | C. 3980 | C |
| baichuan4 | B | C |
| doubao | C $1990\times1991-1989\times1990=1990\times(1991-1989)=1990\times2=3980$. |
C |
| minimax | To solve the expression $1990\times1991 - 1989\times1990$, we can factor out the common factor of 1990: $1990\times1991 - 1989\times1990 = 1990(1991 - 1989)$ Now, subtracting within the parentheses: $1991 - 1989 = 2$ So the expression simplifies to: $1990 \times 2$ Which is: $3980$ Therefore, the correct answer is: C. 3980 |
C |
| kimi | To solve this problem, we can simplify the given expression step by step: \[ 1990 \times 1991 - 1989 \times 1990 \] We can factor out the common term, which is \( 1990 \): \[ 1990 \times (1991 - 1989) \] Now, we calculate the difference inside the parentheses: \[ 1991 - 1989 = 2 \] So the expression simplifies to: \[ 1990 \times 2 \] Now, we multiply: \[ 1990 \times 2 = 3980 \] Therefore, the correct answer is: C. 3980 |
C |
| wenxinyiyan | C Explanation: Begin by recognizing that the expression involves two products that share a common factor of 1990. We can rewrite the expression to group this common factor: $1990\times1991 - 1989\times1990 = 1990\times(1991 - 1989)$ Then, simplify the difference inside the parentheses: $1991 - 1989 = 2$ Finally, multiply this result by the common factor: $1990\times2 = 3980$ The expression is equivalent to the counting number 3980, so the correct answer is C. |
C |
| zhipu | To solve the expression \( 1990 \times 1991 - 1989 \times 1990 \), we can use the distributive property of multiplication over subtraction. First, factor out the common term \( 1990 \): \[ 1990 \times 1991 - 1989 \times 1990 = 1990 (1991 - 1989) \] Now, simplify the expression inside the parentheses: \[ 1991 - 1989 = 2 \] So, the expression becomes: \[ 1990 \times 2 = 3980 \] Therefore, the counting number equivalent to the given expression is 3980. The correct answer is: C. 3980 |
C |
| gpto1 | C | C |
| deepseekv3 | To solve the expression \( 1990 \times 1991 - 1989 \times 1990 \), we can factor out \( 1990 \) from both terms: \[ 1990 \times 1991 - 1989 \times 1990 = 1990 \times (1991 - 1989) \] Next, simplify the expression inside the parentheses: \[ 1991 - 1989 = 2 \] Now, multiply by \( 1990 \): \[ 1990 \times 2 = 3980 \] Therefore, the expression is equivalent to \( 3980 \). The correct answer is: \boxed{C} |
C |