https://file.aiquickdraw.com/mathbot/file/1726803699842oxsogxqh.jpg

The number line shows increments of 7, with steps moving to the right, indicating negative numbers decreasing. The starting point is at \(-70\), and after several jumps (moving toward zero), it lands at zero. The total jumps represent a multiplication equation involving negative integers.

The diagram represents multiplying a negative number by a positive integer (which gives a negative result). The jumps occur in increments of 7 units, and each jump moves from left to right.

From this, the multiplication equation can be written as:

\[
7 \times (-5) = -35
\]

This is because there are five jumps of size 7 starting from \(-35\) and ending at zero.

Would you like further details on how to understand this? Here are five related questions that might help expand on this concept:

1. What happens when you multiply a positive number by a negative one?
2. How would the number line change if you were multiplying by a positive integer instead?
3. What is the difference between moving to the left and right on a number line when working with negative integers?
4. How can you interpret the direction of jumps in relation to positive or negative results?
5. Why does multiplying two negative numbers yield a positive result?

**Tip**: Always remember that multiplying by a negative number reverses the direction on the number line.

Write the multiplication equation this number line models.

Learn how to write multiplication equations using a number line that demonstrates multiplying by a negative integer. This problem is suitable for students in Grades 6-8 and covers concepts of multiplication of integers and interpreting number line models.

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