Equivalence of $8 - (-5)and \8 + 5$ Using Counters
The counter model visually confirms that subtracting a negative integer is the same as adding its positive counterpart:
- **$8 - (-5){8}positive (blue) counters. To remove{5}negatives, first introduce{5}neutral pairs (each consisting of one blue and one red counter), which do not change the total value. Now remove the{5}red counters representing{-5}. The{5}blue counters from the neutral pairs remain alongside the original{8}, giving{13}positives. So \8 - (-5) = 13$.
- **$8 + 5{8}positive counters and combine them with{5}more positive counters, giving{13}positives. So \8 + 5 = 13$.
Both approaches produce , confirming that $8 - (-5) = 8 + 5$.
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