问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: Ms. Ling has been living in her home for exactly 4 years. She knows that there are 12 months in each year. She found the total number of months, m, she has been living in her home by using the number sentence below. 4 × 12 = m Which number sentence shows another way to find the total number of months, m, Ms. Ling has been living in her home?
A. 12 ÷ m = 4
B. m × 4 = 12
C. 12 – m = 4
D. m ÷ 4 = 12
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D
D
deepseekr1

The original equation calculates the total months as \(4 \times 12 = m\). To find an equivalent equation, division can be used inversely. Since \(m = 4 \times 12\), dividing \(m\) by 4 gives \(12\), leading to \(m \div 4 = 12\). Other options fail when substituting \(m = 48\).

**Answer: D**
D
gpto1 D D
GPT-4o B. m × 4 = 12 D
llama3.1-70B-Instruct

D
D
llama3.1-405B-Instruct

D
D
DeepSeek-Coder-V2 D. m ÷ 4 = 12 D
Qwen2-72B-Instruct D. m ÷ 4 = 12 D
baichuan4 D D
doubao D. m ÷ 4 = 12. Since 4 years times 12 months per year equals m months, then m months divided by 4 years should equal 12 months per year. D
minimax D. m ÷ 4 = 12 D
kimi D. m ÷ 4 = 12 D
wenxinyiyan D
Explanation:
Ms. Ling has been living in her home for 4 years, and there are 12 months in each year. She found the total number of months, m, by multiplying 4 by 12. This gives the equation 4 × 12 = m.

To find another way to represent this, we can rearrange the equation. If we divide m by 4, we should get 12, because there are 12 months in each of the 4 years. This gives the equation m ÷ 4 = 12.

Let's check the options:
A. 12 ÷ m = 4 - This is incorrect because it implies that if we divide 12 by the number of months, we get 4, which doesn't make sense.
B. m × 4 = 12 - This is incorrect because it implies that the number of months multiplied by 4 is 12, which is the opposite of what we know.
C. 12 – m = 4 - This is incorrect because it suggests subtracting the number of months from 12 to get 4, which doesn't reflect the situation.
D. m ÷ 4 = 12 - This is correct. It says that if we divide the total number of months by 4, we get 12, which is true because there are 12 months in each of the 4 years.

Therefore, the answer is D.
D
zhipu To find another way to express the total number of months, \( m \), that Ms. Ling has been living in her home, we need to rearrange the original equation \( 4 \times 12 = m \).

The original equation can be rewritten in terms of \( m \):

\[ m = 4 \times 12 \]

To find an equivalent expression, we can think about the properties of multiplication and division. Specifically, if \( m = 4 \times 12 \), then dividing \( m \) by 4 should give us 12:

\[ m \div 4 = 12 \]

This matches option D.

So, the correct answer is:

D. \( m \div 4 = 12 \)
D
gpto1 D D
deepseekv3 The correct answer is D. Here’s why:

The original equation is \( 4 \times 12 = m \), which calculates the total number of months \( m \) by multiplying the number of years (4) by the number of months in a year (12).

To find another way to express this relationship, we can rearrange the equation. Dividing both sides of the original equation by 4 gives:

\[
m \div 4 = 12
\]

This corresponds to option D, which shows another valid way to find the total number of months \( m \).

Answer: D
D