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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1 answer

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!