what model can you use to represent 2⋅(−4) (1 point) +

Question

GPT-4o mini · Answer

To represent the expression $ 2 \cdot (-4) $, we can think of it as a multiplication operation involving an integer and a negative integer. Here's how you can model it: 1. **Multiplication Model:** - You can visualize $ 2 \cdot (-4) $ as taking the number $-4$ and adding it to itself 2 times. - In this case, $ 2 \cdot (-4) = -4 + (-4) = -8 $. 2. **Number Line:** - On a number line, starting at 0, if you move left (towards the negative side) 4 units (to -4), and then do this 2 times, you would move left a total of 8 units, landing on -8. 3. **Area Model:** - You could also think of it in terms of area. Imagine a rectangle with a length of 2 and a width of -4. Because the width is negative, the concept of area here would represent a reflection or negative area. To conclude, the expression $ 2 \cdot (-4) $ equals $-8$.

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just answer pls

GPT-4o mini · Answer

The expression $ 2 \cdot (-4) $ equals $-8$.

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wrong

GPT-4o mini · Answer

I apologize for any confusion. The calculation of the expression $ 2 \cdot (-4) $ is indeed $-8$.

If there is a specific aspect you would like me to clarify or if there's a misunderstanding, please let me know!

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-4 is correct but 2 isn't

GPT-4o mini · Answer

I see, you’re looking for a different representation. If you want to represent the expression $2 \cdot (-4)$ using a different model, how about this:

\[ -4 + -4 = -8 \]

This shows adding $-4$ two times, which is indeed $2 \cdot (-4) = -8$.

If you meant something else or a different value instead of $2$, please clarify. Otherwise, the multiplication operation would be correct as shown!

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yes it works tysm

GPT-4o mini · Answer

You're welcome! I'm glad that helped. If you have any more questions or need further assistance, feel free to ask!

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What model can you use to represent −7⋅1 ?(1 point) − (1+1+1+1+1+ + )

GPT-4o mini · Answer

To represent the expression $ -7 \cdot 1 $ using a model, you can think of it as simply negating the value of $1$ seven times. This means you are taking the negative of $1$ and adding it together seven times: $$ -7 \cdot 1 = - (1 + 1 + 1 + 1 + 1 + 1 + 1) $$ So, the model can be represented as: $$ - (1 + 1 + 1 + 1 + 1 + 1 + 1) $$ This means you're adding $1$ seven times and then applying a negative sign, resulting in $-7$.