To represent -5 × -4 with a model, we can recognize that multiplying two negative numbers results in a positive number. In this case, -5 × -4 equals +20.
To illustrate this with a model, we can visualize it as follows:
- One way to think about -5 × -4 is to consider it as "5 groups of -4," with the negative sign indicating the direction of each group. However, since we have two negatives (the two negatives in -5 and -4), we can interpret this as saying that we are reversing the direction.
The correct representation in the context of the options you've given is:
- (- ( - 4 + - 4 + - 4 + - 4 + - 4 )) → which translates to grouping negative fours a total of 5 times, indicating that the negatives cancel each other out.
In a simpler form, thinking of it this way:
-
Since multiplying two negative values gives a positive value, -5 × -4 can effectively be thought of as:
-
(5 × 4) = 20
So the most appropriate option you have provided would be:
- ( - ( - 4 + - 4 + - 4 + - 4 + - 4 ) )
However, the exact answer will depend on the specifics of your model representation method.