1. The problem asks to find which division expression matches the visual model of 0.8 (8 out of 10 parts) divided by a certain number.
2. The expressions given are $0.8 \div 2$, $0.8 \div 3$, $0.8 \div 5$, and $0.8 \div 6$.
3. To understand which matches the visual model, we calculate each division:
4. Calculate $0.8 \div 2$:
$$0.8 \div 2 = \frac{0.8}{2} = 0.4$$
5. Calculate $0.8 \div 3$:
$$0.8 \div 3 = \frac{0.8}{3} \approx 0.2667$$
6. Calculate $0.8 \div 5$:
$$0.8 \div 5 = \frac{0.8}{5} = 0.16$$
7. Calculate $0.8 \div 6$:
$$0.8 \div 6 = \frac{0.8}{6} \approx 0.1333$$
8. The visual model shows 8 out of 10 parts filled, which is $0.8$ total, divided into equal parts.
9. Since the bar is divided into 10 equal parts and 8 are filled, dividing by 2 would split the 0.8 into 2 parts of 0.4 each, which matches the visual model best.
10. Therefore, the expression $0.8 \div 2$ matches the visual model.
Final answer: $0.8 \div 2 = 0.4$
Division Visual 726116
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