How can you represent −5⋅−4 with a model?(1 point)
Responses
One possible way to represent -5⋅-4 with a model is by using a number line.
First, mark 0 on the number line. Then, move 5 units to the left to represent -5. Next, starting from -5, move 4 units to the left to represent -4. The intersection point will represent the product of -5⋅-4, which is 20.
out of theses answers which one is it.−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
The correct answer is 5⋅4. This expression represents multiplying 5 and 4, which equals 20.
To represent -5 multiplied by -4 with a model, you can use a number line or counters.
Using a number line model:
1. Draw a number line with "-5" on the leftmost side and "0" on the rightmost side.
2. Mark a point at "0".
3. Move 5 units to the left from "0" and mark the point as "-5".
4. From "-5", move 4 units further to the left and mark the point as "-9".
5. The point "-9" on the number line represents -5 multiplied by -4, which is equal to 20.
Using a counters model:
1. Take 5 counters of one color to represent "-5".
2. Take 4 counters of a different color to represent "-4".
3. Arrange the counters in rows or columns to represent -5 multiplied by -4.
4. Count the total number of counters, which is 20.
5. This arrangement represents the product -5 multiplied by -4 as 20.
To represent the expression −5⋅−4 with a model, you can use a number line or a set of counters.
Number Line: Draw a horizontal number line and mark 0 as the starting point. Represent the negative numbers to the left and positive numbers to the right. Place a marker on the number -5. Then, move 4 units to the left from -5 on the number line. The marker will end up at -20. Thus, the model represents −5⋅−4 as -20.
Counters: Take a set of counters, such as small objects or tokens. Assign a negative value to one color of counters and a positive value to another color. For example, use red counters to represent negative numbers and blue counters to represent positive numbers. Start with 5 red counters to represent -5. Then, multiply -5 by -4, which means adding -5 a total of 4 times. Using the red counters, add 5 red counters four times. The result will be 20 red counters or -20. Therefore, the model represents −5⋅−4 as -20.