问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: A theater collected $6 for each ticket sold to a movie. The theater sold 500 tickets to the movie. The expression below can be used to find how much money the theater collected for the tickets. 6 × 500 Which expression can also be used to find how much money the theater collected for the tickets?
A. 30 × 10^1
B. 30 × 10^3
C. (6 × 5) × 10^2
D. (6 × 5) × 10^3
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

C
The expression 6 × 500 can be rewritten as (6 × 5) × 100, or (6 × 5) × 10^2.		 C
deepseekr1

The problem requires finding an expression equivalent to \(6 \times 500\). Breaking down \(500\) as \(5 \times 10^2\), the original expression becomes \(6 \times 5 \times 10^2 = (6 \times 5) \times 10^2\). Calculating this yields \(30 \times 100 = 3000\), matching the total revenue.

Analyzing the options:
- **A**: \(30 \times 10^1 = 300\) (incorrect).
- **B**: \(30 \times 10^3 = 30,000\) (incorrect).
- **C**: \((6 \times 5) \times 10^2 = 3000\) (correct).
- **D**: \((6 \times 5) \times 10^3 = 30,000\) (incorrect).

The correct answer is **C**.

**Answer: C**		 C
gpto1 C C
GPT-4o C. (6 × 5) × 10^2 C
llama3.1-70B-Instruct

C		 C
llama3.1-405B-Instruct

C
The expression 6 × 500 can be rewritten as (6 × 5) × 100, or (6 × 5) × 10^2.		 C
DeepSeek-Coder-V2 C. (6 × 5) × 10^2 C
Qwen2-72B-Instruct C. (6 × 5) × 10^2 C
baichuan4 D C
doubao C

6×500 = (6×5)×100 = (6×5)×10^2.		 C
minimax The expression that can also be used to find how much money the theater collected for the tickets is:

C. (6 × 5) × 10^2

This is because 6 × 5 equals 30, and 500 can be expressed as 5 × 10^2. Multiplying these two expressions together gives us 30 × 10^2, which is equivalent to 6 × 500.		 C
kimi The correct answer is C. (6 × 5) × 10^2.

Here's the reasoning:
The original expression is 6 × 500, which equals $3000.

Now let's look at the options:
A. 30 × 10^1 = 30 × 10 = 300 (This is incorrect)
B. 30 × 10^3 = 30 × 1000 = 30000 (This is incorrect)
C. (6 × 5) × 10^2 = 30 × 100 = 3000 (This is correct)
D. (6 × 5) × 10^3 = 30 × 1000 = 30000 (This is incorrect)

Option C is the correct expression because it simplifies to the same result as the original expression, which is $3000.		 C
wenxinyiyan C C
zhipu To find the total amount of money the theater collected for the tickets, we need an expression that equals \(6 \times 500\).

First, let's evaluate \(6 \times 500\):
\[ 6 \times 500 = 3000 \]

Now, let's evaluate each of the given options:

A. \(30 \times 10^1\)
\[ 30 \times 10^1 = 30 \times 10 = 300 \]
This is not equal to 3000.

B. \(30 \times 10^3\)
\[ 30 \times 10^3 = 30 \times 1000 = 30000 \]
This is not equal to 3000.

C. \((6 \times 5) \times 10^2\)
\[ (6 \times 5) \times 10^2 = 30 \times 100 = 3000 \]
This is equal to 3000.

D. \((6 \times 5) \times 10^3\)
\[ (6 \times 5) \times 10^3 = 30 \times 1000 = 30000 \]
This is not equal to 3000.

The expression that also equals \(6 \times 500\) is:

C. \((6 \times 5) \times 10^2\)

So, the answer is:
C		 C
gpto1 C C
deepseekv3 The correct answer is **C**.

Here’s the explanation:
The expression given is \( 6 \times 500 \).
We can rewrite \( 500 \) as \( 5 \times 10^2 \).
So, \( 6 \times 500 = 6 \times (5 \times 10^2) = (6 \times 5) \times 10^2 \).
This matches option **C**: \( (6 \times 5) \times 10^2 \).

Thus, the answer is **C**.		 C