Adding and with Counters
When adding integers with different signs using the counter model, you pair off opposing counters until only one color remains. To evaluate , combine 5 red (negative) counters with 3 blue (positive) counters. Three neutral pairs form and are removed, leaving 2 red counters, making the answer . To evaluate , combine 5 blue counters with 3 red counters. Again, three neutral pairs cancel out, but this time 2 blue counters remain, making the answer . These examples illustrate that the final sum carries the sign of the group that had more counters initially.
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