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A yellow counter is +1 and a red counter is −1. Which addition, with its answer, do the two groups of counters show?

Class 6IntegersIntegers
  • A
  • B
  • C
  • D

Step-by-Step Solution

Group A is and Group B is . 4 zero pairs cancel, leaving 5 red counters: .
Answer: C)

Key idea: Adding integers — different signs

When two integers have **different signs**, subtract the smaller absolute value from the larger one and keep the sign of the larger absolute value. So 7 + (−3) = 4 (|7| > |−3|, so the answer is positive 4), and (−7) + 3 = −4 (|−7| > |3|, so the answer is negative 4). On the number line: a positive number moves right, a negative number moves left — they partially cancel.

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