To help you analyze multiplication patterns based on signs of factors and products, I can provide a general overview of how the signs affect the outcome of multiplication:
-
Positive × Positive = Positive
- Example: \(3 \times 4 = 12\)
-
Positive × Negative = Negative
- Example: \(3 \times (-4) = -12\)
-
Negative × Positive = Negative
- Example: \((-3) \times 4 = -12\)
-
Negative × Negative = Positive
- Example: \((-3) \times (-4) = 12\)
Now, based on your description of "Drop target 1," "Drop target 2," etc., let's illustrate how the signs of multipliers would affect the products in a chart format.
| Drop Target | Factor 1 | Factor 2 | Product | Sign of Product | |-------------|------------|------------|--------------|------------------| | Drop target 1 | Positive | Positive | Positive | Positive | | Drop target 2 | Positive | Negative | Negative | Negative | | Drop target 3 | Negative | Positive | Negative | Negative | | Drop target 4 | Negative | Negative | Positive | Positive |
Key Observations:
- When both factors are of the same sign (either both positive or both negative), the product is positive.
- When the factors are of different signs (one positive and one negative), the product is negative.
Feel free to adjust the specific numbers or signs in the chart as necessary based on what you observe in your experiments with the Desmos Scientific Calculator!
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