Question

which expression can be represented by the model?
$0.8\div2$
$0.8\div3$
$0.8\div5$
$0.8\div6$

Explanation:

Step1: Analyze the model's total parts

The bar is split into 10 equal small parts. 8 parts are shaded (dark + light blue), so the shaded total is $0.8$.

Step2: Identify grouped shaded parts

The 8 shaded parts are split into 4 equal groups? No, wait: the dark blue is 4 parts, light blue is 4 parts? No, wait: the dark blue is 4 parts, which is half of the 8 shaded parts? No, wait, the options are division. Wait, the 0.8 (8 tenths) is divided into 2 groups: dark blue (4 tenths) and light blue (4 tenths)? No, wait no, the options: $0.8\div2$ would be 0.4, which is the dark blue section. The model shows 0.8 (8/10) split into 2 equal parts (each 4/10=0.4). Wait, no, count the parts: total bar is 10 parts, 8 are shaded (4 dark, 4 light, 2 unshaded). The dark blue is one equal portion of the 0.8, split into 2 portions (each 4 tenths). So $0.8\div2 = 0.4$, which matches the dark blue section being half of the shaded 0.8.

Step3: Verify against options

Check each option:

• $0.8\div2 = 0.4$, which is 4 tenths, matching the dark blue segment (4 parts of 10) as one part of the divided 0.8.
• $0.8\div3 \approx 0.266$, which does not match the 4-tenth segment.
• $0.8\div5 = 0.16$, does not match.
• $0.8\div6 \approx 0.133$, does not match.

Answer:

$0.8 \div 2$