1. **Problem:** Identify which division problem the model Tess made represents. 2. **Step 1:** Understand the division model. The model shows a number divided into 3 equal parts. 3. **Step 2:** Check each option by multiplying the quotient by 3 to see if it matches the dividend. - For A: $0.45 \times 3 = 1.35$ (matches dividend 1.35) - For B: $0.54 \times 3 = 1.62$ (does not match dividend 1.35) - For C: $0.45 \times 3 = 1.35$ (dividend is 1.62, so no) - For D: $0.54 \times 3 = 1.62$ (matches dividend 1.62) 4. **Step 3:** The model shows 1.35 divided into 3 parts, so the correct division is $1.35 \div 3 = 0.45$. **Answer:** A 5. **Problem:** Find calories in one ounce if 8 ounces have 82 calories. 6. **Step 1:** Use division to find calories per ounce: $\text{Calories per ounce} = \frac{82}{8}$. 7. **Step 2:** Calculate: $$\frac{82}{8} = \cancel{\frac{82}{\cancel{8}}} = 10.25$$ 8. **Answer:** C 9. **Problem:** Solve $1.6 + n = 0.016$ for $n$. 10. **Step 1:** Subtract 1.6 from both sides: $$n = 0.016 - 1.6$$ 11. **Step 2:** Calculate: $$n = 0.016 - 1.6 = -1.584$$ 12. **Step 3:** Write $n$ using an exponent: $$n = -1.584 = -1.584 \times 10^{0}$$ (or simply $-1.584$ as no simpler exponent form fits) 13. **Step 4:** Check by substituting back: $$1.6 + (-1.584) = 0.016$$ which is true. 14. **Problem:** Estimate cost of one rose if 8 roses cost 45.50. 15. **Step 1:** Look for the best estimation method. - A: $45 \div 5 = 9$ (wrong divisor) - B: $48 \div 8 = 6$ (close to actual, rounding 45.50 to 48) - C: $45 \div 10 = 4.5$ (wrong divisor) - D: $40 \div 8 = 5$ (underestimate) 16. **Answer:** B 17. **Problem:** Toby’s faucet dripped 1.92 liters in 24 hours. 18. **Step 1:** Write equation for amount per hour: $$x = \frac{1.92}{24}$$ 19. **Step 2:** Calculate exact amount: $$x = \cancel{\frac{1.92}{\cancel{24}}} = 0.08$$ liters per hour 20. **Step 3:** Estimate by rounding: $$\frac{2}{24} = 0.0833$$ liters per hour 21. **Step 4:** Compare estimate and exact: Estimate $0.0833$ is close to exact $0.08$, so answer is reasonable. **Final answers:** 8: A 9: C 10: Part A: $n = -1.584$ 10: Part B: Verified by substitution 11: B 12: Part A: $x = \frac{1.92}{24}$ 12: Part B: $x = 0.08$ 12: Part C: Estimate close to exact, reasonable