Question

How can you represent −5⋅−12 with a model?(1 point) Responses −12+−12+−12+−12+−12 negative 12 plus negative 12 plus negative 12 plus negative 12 plus negative 12 12+12+12+12+12 12 plus 12 plus 12 plus 12 plus 12 −(−12+−12+−12+−12+−12) negative left parenthesis negative 12 plus negative 12 plus negative 12 plus negative 12 plus negative 12 right parenthesis −(12+12+12+12+12)

Answer 1

pick one

Answer 2

How can you represent −2⋅9 with a model?(1 point) Responses 9+9 9 plus 9 −2+−2 negative 2 plus negative 2 −9+−9 negative 9 plus negative 9 −(9+9)

Answer 3

I got a whole bunch WRONG

Answer 4

To represent \(-5 \cdot -12\) with a model, you want to express the concept of multiplying negative numbers. When you multiply two negative numbers, the result is positive. Here is how the options relate:

1. **−12 + −12 + −12 + −12 + −12**: This represents \(-5 \cdot -12\) incorrectly; it adds negative twelves together.

2. **12 + 12 + 12 + 12 + 12**: This correctly represents \(5 \cdot 12\), which is equivalent to \(-5 \cdot -12\) because both are equal to \(60\).

3. **−(−12 + −12 + −12 + −12 + −12)**: This expression represents the negation of negative twelves added together, which simplifies to \(5 \cdot 12\).

4. **−(12 + 12 + 12 + 12 + 12)**: This represents the negation of positive twelves, which does not correspond to the original multiplication.

The most accurate models among the responses you provided are:

- **12 + 12 + 12 + 12 + 12**
- **−(−12 + −12 + −12 + −12 + −12)**

Both correctly express the concept of \(-5 \cdot -12\) as a positive result.

Answer 5

The best choice to represent \(-5 \cdot -12\) is:

**12 + 12 + 12 + 12 + 12**

This accurately represents the multiplication as it results in a positive value, effectively showing that multiplying two negative numbers results in a positive product.

Answer 6

To represent \(-2 \cdot 9\) with a model, you want to express the multiplication of a negative number and a positive number. The product will be negative.

Here’s a breakdown of the options:

1. **9 + 9**: This represents \(2 \cdot 9\), which is not correct since we want \(-2 \cdot 9\).

2. **−2 + −2**: This adds two negative twos together, which equals \(-4\) and does not accurately represent \(-2 \cdot 9\).

3. **−9 + −9**: This adds two negative nines together, which equals \(-18\) and does not correspond directly to \(-2 \cdot 9\).

4. **−(9 + 9)**: This represents the negation of \(2 \cdot 9\), which equals \(-18\). This is the most accurate representation of \(-2 \cdot 9\).

Therefore, the best choice to represent \(-2 \cdot 9\) is:

**−(9 + 9)**.

Answer 7

I apologize for any confusion in my previous messages. Let's clarify the modeling of \(-2 \cdot 9\) more clearly and ensure we identify the correct response.

To represent \(-2 \cdot 9\), we want to show that you are taking 9 and adding it negatively (indicating the negative coefficient).

### Given Options:
1. **9 + 9**: Represents \(2 \cdot 9\), or \(18\).
2. **−2 + −2**: Represents \(-2\) added together, which equals \(-4\) and does not correspond to \(-2 \cdot 9\).
3. **−9 + −9**: Represents \(-9 + -9\), which equals \(-18\) and does not correctly represent \(-2 \cdot 9\).
4. **−(9 + 9)**: This represents the negation of \(2 \cdot 9\), or \(-18\), which is indeed the correct representation. This means you're modeling taking away two sets of 9.

The correct representation for \(-2 \cdot 9\) is:

**−(9 + 9)**

If you have questions about specific items you got wrong or need further explanation, feel free to ask, and I'll be happy to clarify!