Question

What multiplication patterns can you see from each situation? Fill in the chart below according to the signs of the factors and products.

Hint: Use the Desmos Scientific Calculator to test numbers that you choose.

(4 points)
Drop target 1
Drop target 2
Drop target 3
Drop target 4
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page 13 of 13

Answer 1

It seems like you're looking for patterns in multiplication, particularly with different signs of the factors (positive and negative) and their resulting products. While I can't see your specific scenarios or "drop targets," I can help you understand the patterns you might observe.

Here's a common pattern based on the signs of the factors used in multiplication:

1. **Positive x Positive**:
- Factors: (+) * (+)
- Product: +
- Example: 2 * 3 = 6

2. **Positive x Negative**:
- Factors: (+) * (-)
- Product: -
- Example: 2 * (-3) = -6

3. **Negative x Positive**:
- Factors: (-) * (+)
- Product: -
- Example: (-2) * 3 = -6

4. **Negative x Negative**:
- Factors: (-) * (-)
- Product: +
- Example: (-2) * (-3) = 6

Here's a summary of what you might fill out in a chart regarding the signs of the factors and products:

| Factor 1 | Factor 2 | Product | Sign of Product |
|----------|----------|----------|------------------|
| Positive | Positive | Positive | + |
| Positive | Negative | Negative | - |
| Negative | Positive | Negative | - |
| Negative | Negative | Positive | + |

### Patterns to Observe:
- The product of two numbers with the same sign (both positive or both negative) is positive.
- The product of two numbers with different signs is negative.

If you have specific values or contexts for each drop target, you could test those with a calculator to verify these patterns. If you provide those specific drop targets, I can help analyze them further!