Explain how to model the multiplication of –6 and 3 on a number line.
I don't know what your teacher expects, but I'd start at -6 and count 6 to the left three times.
Thanks
You're welcome.
But, starting at -6, we'd only need to count 6 to the left two times, not three times.
Or starting a 0 count 6 to the left three times.
To model the multiplication of -6 and 3 on a number line, you need to understand the concept of multiplication and how it relates to the number line.
1. Start by drawing a number line with negative and positive numbers. Place a zero (0) in the middle.
... -4 -3 -2 -1 0 1 2 3 4 ...
2. Since we are multiplying -6 and 3, we have one negative number and one positive number.
3. Begin at zero on the number line, representing the multiplication starting point.
4. Locate -6 on the number line. To do this, count 6 units to the left of zero. The position will be -6.
... -4 -3 -2 -1 0 1 2 3 4 ...
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5. Now, move in the positive direction by multiplying 3.
6. To account for the positive multiplication, move 3 units to the right from -6.
... -4 -3 -2 -1 0 1 2 3 4 ...
| | |
7. Continue counting and mark the final position. The final value represents -6 multiplied by 3.
... -4 -3 -2 -1 0 1 2 3 4 ...
X
8. The final value on the number line is 18, indicating that -6 multiplied by 3 gives -18.
By following these steps, you can model the multiplication of -6 and 3 on a number line and see the result visually.