To show the product \((-2)(-7)\) on a number line, you can follow these steps:

### 1. Represent \(-2\) and \(-7\) on the number line
First, you need to locate \(-2\) and \(-7\) on the number line. These are both negative numbers, so they are to the left of zero.

### 2. Understand the operation \((-2)(-7)\)
Multiplication of two negative numbers results in a positive number. So, \((-2)(-7) = 14\). This means the answer is positive 14.

### 3. Visualize the multiplication on the number line
- Think of \((-2)(-7)\) as repeatedly adding \(-2\) a total of 7 times, but in the opposite direction (since you're multiplying by a negative).
- The result of multiplying \(-2\) and \(-7\) is equivalent to moving rightward 14 units from zero.

### 4. Mark the result \(14\)
On the number line, you will locate 14, which is to the right of zero. This is the final result of the multiplication.

#### Number Line Example:
```
... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9  10 11 12 13 14 ...
                                              ↑
                                            Answer (14)
```

Would you like a visual representation or further clarification on any part of this? Here are some related questions:

1. How does multiplication of two negatives result in a positive number?
2. Can I use a number line to explain positive multiplication as well?
3. How can I represent more complex operations like \((-2) \times 3 \times (-4)\) on a number line?
4. How does division of negative numbers work on a number line?
5. How does the number line help explain adding and subtracting negative numbers?

**Tip:** When multiplying two numbers with the same sign, the result is always positive, whether both are positive or negative.

Learn how to represent the product of (-2)(-7) on a number line. This tutorial covers key concepts such as the multiplication of negative numbers, integer operations, and using the number line to visualize the result. Suitable for students in Grades 6-8.

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