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Solution: Page 257-258 (Token Model)

April 10, 2024
1 min read

Page 257: Addition

1. Complete the additions:

  • a. (+6) + (+4) = +10
  • b. (-3) + (-2) = -5 (3 negatives and 2 negatives make 5 negatives)
  • c. (+5) + (-7) = -2 (5 positives cancel 5 negatives, leaving 2 negatives)
  • d. (-2) + (+6) = +4 (2 negatives cancel 2 positives, leaving 4 positives)

2. Cancel Zero Pairs:

  • a. 3 Positives, 5 Negatives.
    • 3 pairs cancel. Left with 2 Negatives.
    • Result: -2
  • b. 6 Positives, 3 Negatives.
    • 3 pairs cancel. Left with 3 Positives.
    • Result: +3

Page 258: Subtraction

1. Evaluate:

  • a. (+10) - (+7) = +3
  • b. (-8) - (-4) = -4 (Start with 8 neg, take away 4 neg)
  • c. (-9) - (-4) = -5
  • d. (+9) - (+12) = -3 (Need to add zero pairs to take away 12 pos from 9 pos)
  • e. (-5) - (-7) = +2 (Need to add zero pairs to take away 7 neg from 5 neg)
  • f. (-2) - (-6) = +4

2. Complete Subtractions:

  • a. (-5) - (-7) = +2
  • b. (+10) - (+13) = -3
  • c. (-7) - (-9) = +2
  • d. (+3) - (+8) = -5
  • e. (-2) - (-7) = +5
  • f. (+3) - (+15) = -12