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Integer Operations Card Game
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Integer Operations Card Game
Use the number and operation cards shown below, or write the cards on scraps of paper. For each round, choose two number cards and one operation card. Work out the integer calculation, then explain a pattern you notice. Use each operation as written; division rounds must divide exactly. In the warm-up rounds, use the values and operation supplied in each round; they do not need to be in the card set.
−10
−8
−6
−4
−2
0
+2
+4
+6
+8
+10
+
−
×
÷
Warm-up rounds
Calculate each result. Show a number sentence or a short explanation for at least two.
1.Round 1: The cards are −7, +3 and +. Calculate (−7) + (+3).
2.Round 2: The cards are +5, −8 and −. Calculate (+5) − (−8).
3.Round 3: The cards are −6, +4 and ×. Calculate (−6) × (+4).
4.Round 4: The cards are −8, −2 and ÷. Calculate (−8) ÷ (−2).
5.Round 5: Which calculation gives the greatest result: (−3) × (+4), (−3) + (+4), or (−3) − (+4)? Work out all three before choosing.
Choose, explain and create
Use integer rules to reason about how the signs affect each result.
6.A game token is on −2. It moves 6 units to the left on a number line. Where does it land?
7.Which operation always gives a positive result when two negative integers are used? Choose the best answer.
- Addition
- Subtraction
- Multiplication
- Both multiplication and division (when dividing by a non-zero integer)
8.True or false? Subtracting a negative integer has the same result as adding its positive opposite. Give an example to support your answer.
TrueFalse
9.Create two different integer calculations using the cards that both equal −12. At least one calculation must use multiplication or division.
10.A player says, “When I multiply two integers with different signs, the answer is positive.” Explain what is wrong and give a corrected rule.
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