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**1.4 In the Chips Using a Chip Model**

Negative 1 Red Chip + 1 Black Chip = a “Zero Pair” Positive To solve a problem using a chip board: Display 1st # of number sentence onto chip board. Add or remove chips to represent 2nd # of number sentence. (if chips need to be removed from the board but their aren’t enough there, chips must be added in the form of zero pairs) Remove the zero pairs from chip board. The chips remaining on the board represent the answer.

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**1.4 Practice 3 1 4 2 -3 + 5 = ? Remove the zero pairs from chip board.**

= ? 3 1 Display 1st # of number sentence onto chip board. Remove the zero pairs from chip board. 4 2 The chips remaining on the board represent the answer. Add chips to represent 2nd # of number sentence.

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**1.4 Practice 3 1 4 2 2 + -5 = ? Remove the zero pairs from chip board.**

= ? 3 1 Display 1st # of number sentence onto chip board. Remove the zero pairs from chip board. 4 2 Add chips to represent 2nd # of number sentence. The chips remaining on the board represent the answer.

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1.4 Practice Subtract 2 = ? 3 1 Since there are no zero pairs, -1 is the answer. Display 1st # of number sentence onto chip board. 2 Subtract chips to represent 2nd # of number sentence.

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1.4 Practice = ? 1 2b Display 1st # of number sentence onto chip board. Then, the 3 red can be subtracted. 3 2a Remove chips to represent 2nd # of number sentence. Only 2 chips are there, so 1 zero pair must be added. Since there are no zero pairs, one is the answer.

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**sentence onto chip board. Then, the 7 black can be subtracted.**

1.4 Practice Subtract 7 = ? 1 2b Display 1st # of number sentence onto chip board. Then, the 7 black can be subtracted. 3 2a Remove chips to represent 2nd # of number sentence. Only 4 chips are there, so 3 zero pairs must be added. Since there are no zero pairs, negative three is the answer.

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1.4 Practice 1 2b Display 1st # of number sentence onto chip board. Then, the 3 red can be subtracted. 3 2a Remove chips to represent 2nd # of number sentence. Only 2 chips are there, so 1 zero pair must be added. Since there are no zero pairs, two is the answer.

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ILLUSTRATING INTEGERS The University of Texas at Dallas.

ILLUSTRATING INTEGERS The University of Texas at Dallas.

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