To represent the expression −5⋅−12, we can think of it in terms of groups or sets. The expression involves multiplying two negative numbers, which yields a positive result.
Here, we specifically have "negative five times negative twelve."
When you represent this concept with models, using either addition of groups or negative groups, the correct representation would be:
−(−12 + −12 + −12 + −12 + −12)
This can be interpreted as taking away five groups of negative twelve, which corresponds to the idea of cancellation in multiplication (since a negative times a negative is a positive). Therefore, this would yield a positive amount.
So, the correct response is:
−(−12 + −12 + −12 + −12 + −12)