Names: ______Date: ______
Group Worksheet: Discovering Rules for Multiplying Positive and Negative Numbers
- You want to purchase a gift for three of your friends. While at the mall you find a gift for $7 and decide to buy the same gift for each friend. How does the store’s revenue change after this transaction?
- Multiplication Equation (with variable): ______
- Multiplication Equation (with solution): ______
- Multiplication Equation the second factor decomposed into a negative plus a positive addend: ______
- Rewritten equation with the distributive property: ______
- The two positive factors and their product. ______
- Partially solved distributive property equation: ______
- Based on the equation above, what must be the product of the positive and negative factor? ______
- Francine played 6 words in Scrabble that scored 18 points each. How change did these words make in her score?
- Multiplication Equation (with variable): ______
- Multiplication Equation (with solution): ______
- Multiplication Equation the second factor decomposed into a negative plus a positive addend: ______
- Rewritten equation with the distributive property: ______
- The two positive factors and their product. ______
- Partially solved distributive property equation: ______
- Based on the equation above, what must be the product of the positivetimes negative factor? ______
- Please use the problems you solved above to answer the following items.
- Based on your work above, what is always true about the product of a positive factor multiplied by a positive factor? ______
- Based on your work above, what is always true about the product of a positive factor multiplied by a negative factor? ______
- By applying the commutative property of multiplication to what you learned in 3b, what must the answer always be for a negative factor times a positive factor? ______.
- A thief was discovered selling stolen pumpkins at a local marked for $5 each. He had already sold 3 pumpkins when the police caught him and returned the money to the rightful owner. What was the change in the thief’s profits after the money was returned to the rightful owner?
- Multiplication Equation (with variable): ______
- Multiplication Equation (with solution): ______
- Multiplication Equation the second factor decomposed into a positive plus a negative addend: ______
- Rewritten equation with the distributive property: ______
- The negative factor times the positive factor and their product?______
- Partially solved distributive property equation: ______
- What must be the product of the negativefactor times the negative factor? ______
- A football team had two touchdowns called back because of penalties. If each touchdown is worth six points, what was the effect of these penalties on the team’s final score?
- Multiplication Equation (with variable): ______
- Multiplication Equation (with solution): ______
- Multiplication Equation the second factor decomposed into a negative plus a positive addend: ______
- Rewritten equation with the distributive property: ______
- The negative factor times the positive factor and their product?______
- Partially solved distributive property equation: ______
- What must be the product of the negative factor times the negative factor? ______
- Please complete the table below to create a record of what you have learned so far about multiplying positive and negative numbers.
Factor 1 / Factor 2 / Sign of the Product
Positive / Positive
Positive / Negative
Negative / Positive
Negative / Negative
- Based on what you have learned above, please write a rule statement that tells the outcome of multiplying factors that have the same sign and the outcome of multiplying factors that have different signs.
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