How can you represent −5⋅−4 with a model?(1 point)
Responses
−5+−5+−5+−5
negative 5 plus negative 5 plus negative 5 plus negative 5
−(−4+−4+−4+−4+−4)
negative left parenthesis negative 4 plus negative 4 plus negative 4 plus negative 4 plus negative 4 right parenthesis
4+4+4+4+4
4 plus 4 plus 4 plus 4 plus 4
5⋅4
-5 multiplied by -4 can be represented with a model by arranging five groups of four dots, each representing a -4.
To represent −5⋅−4 with a model, you can use the following steps:
1. Start with a number line and place a mark at 0.
2. Move 5 units to the left of 0 and place a mark to represent -5.
3. Multiply -5 by -4. Since multiplying two negative numbers gives a positive result, we need to represent 4 units in the positive direction.
4. Move 4 units to the right from the mark representing -5, and place a mark to represent +4.
5. Connect the marks representing -5 and +4 with a line segment to show the operation of multiplication.
6. The final representation will show a line segment connecting the mark representing -5 to the mark representing +4, indicating the product -5⋅-4 = +20.