How can you represent 2⋅−15
with a model?(1 point)
Responses
One possible way to represent the expression 2⋅−15 with a model is by using a number line.
We can start by representing the number -15 on the number line as a point or dot. Since the number is negative, the point would be to the left of the zero.
Next, we can represent the multiplication of 2⋅−15 by counting 2 units to the left of the point that represents -15. This would give us our final point on the number line.
The final point would represent the value of 2⋅−15 or -30.
so what is the answer
The answer is -30.
To represent 2⋅-15 with a model, you can use a number line.
1. Start by drawing a horizontal line representing the number line.
2. Mark the starting point at 0.
3. Move 2 units to the left from 0 and mark it as -2.
4. Count 15 units to the left from -2 and mark it as -17.
5. Draw an arrow connecting -2 and -17 to represent the direction of movement.
6. Label the arrow as "2⋅-15" to indicate that we are multiplying 2 by -15.
Now, you have represented 2⋅-15 using a model of a number line.
To represent 2⋅−15 with a model, you can use a number line or a vertical bar model.
Using a number line:
1. Draw a horizontal line to represent the number line.
2. Mark a point at 0 to represent the starting point.
3. Move to the left from 0 by 15 units (since |−15| = 15).
4. Mark that point as -15 on the number line.
5. Starting from -15, move to the left by 2 units (since the coefficient is 2).
6. Mark the final point as -17 (-15 - 2) on the number line.
7. The point -17 represents the product of 2 and -15: 2⋅−15 = -17.
Using a vertical bar model:
1. Draw a vertical line to represent the bar.
2. Divide the bar into equal sections, with each section representing one unit.
3. Starting from the top of the bar, count down by 15 sections (since |−15| = 15).
4. Label the last section as -15.
5. Starting from -15, count down by 2 sections (since the coefficient is 2).
6. Label the final section as -17 (-15 - 2).
7. The section labeled -17 represents the product of 2 and -15: 2⋅−15 = -17.