Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of black and red chips for each integer given in parts a, and c. а. -11 Set 1: 0 black chips and red chips. Set 2: 1 black chips and 12 red chips. Set 3: 2 black chips and red chips. b. 0 Set 1: 3 black chips and 3 red chips. Set 2: 2 black chips and 2 red chips. Set 3: 12 black chips and red chips. с. 9 Set 1: 10 black chips and 1 red chips. Set 2: black chips and 2 red chips. Set 3: 12 black chips and 3 red chips.

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**Black and Red Chips Model Explanation**

Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of black and red chips for each integer given in parts a, b, and c.

**a. −11**
- **Set 1:** 0 black chips and ___ red chips.
- **Set 2:** 1 black chip and 12 red chips.
- **Set 3:** 2 black chips and ___ red chips.

**b. 0**
- **Set 1:** 3 black chips and 3 red chips.
- **Set 2:** 2 black chips and 2 red chips.
- **Set 3:** 12 black chips and ___ red chips.

**c. 9**
- **Set 1:** 10 black chips and 1 red chip.
- **Set 2:** ___ black chips and 2 red chips.
- **Set 3:** 12 black chips and 3 red chips.

**Explanation:**
The black and red chips model uses black chips to represent positive value and red chips to represent negative value. By arranging these chips in sets, different integers can be represented through combinations of black and red chips.
Transcribed Image Text:**Black and Red Chips Model Explanation** Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of black and red chips for each integer given in parts a, b, and c. **a. −11** - **Set 1:** 0 black chips and ___ red chips. - **Set 2:** 1 black chip and 12 red chips. - **Set 3:** 2 black chips and ___ red chips. **b. 0** - **Set 1:** 3 black chips and 3 red chips. - **Set 2:** 2 black chips and 2 red chips. - **Set 3:** 12 black chips and ___ red chips. **c. 9** - **Set 1:** 10 black chips and 1 red chip. - **Set 2:** ___ black chips and 2 red chips. - **Set 3:** 12 black chips and 3 red chips. **Explanation:** The black and red chips model uses black chips to represent positive value and red chips to represent negative value. By arranging these chips in sets, different integers can be represented through combinations of black and red chips.
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