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

3 answers

To represent \(-7 \cdot 1\), you can use a model that shows the concept of multiplication as repeated addition. In this case, \(-7\) times \(1\) can be represented as adding \(-1\) seven times.

Here is how it looks:

\[ -7 \cdot 1 = -1 + (-1) + (-1) + (-1) + (-1) + (-1) + (-1) \]

This is equivalent to saying that you're adding \(-1\) a total of seven times, which results in \(-7\).

If you meant to represent it with a different structured notation, please provide that context, but generally, this approach works for illustrating the concept.

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

To represent \(-1 \cdot 7\), you can think about it in terms of repeated addition of negative values. Since multiplying by \(-1\) means you're taking the opposite sign, you can represent \(-1 \cdot 7\) as follows:

\[ -1 \cdot 7 = - (1 + 1 + 1 + 1 + 1 + 1 + 1) \]

In this case, you are summing seven instances of \(1\) and then taking the negative of that sum.

So, the representation would be:

\[

  • (1 + 1 + 1 + 1 + 1 + 1 + 1) \]

This shows that \(-1 \cdot 7\) equals \(-7\).