1. Draw and label a tape diagram to show the following are true a. 8 thirds \( =4 \times(2 \) thinds \( )=(4 \times 2) \) thirds

To draw and label a tape diagram to show that \(8 \times \frac{1}{3} = 4 \times \frac{2}{3} = (4 \times 2) \times \frac{1}{3}\), we can follow these steps: 1. Start with a tape diagram representing \(8 \times \frac{1}{3}\). This will consist of 8 equal parts, each representing \(\frac{1}{3}\) of the whole. 2. Next, draw a tape diagram representing \(4 \times \frac{2}{3}\). This will consist of 4 equal parts, each representing \(\frac{2}{3}\) of the whole. 3. Finally, draw a tape diagram representing \((4 \times 2) \times \frac{1}{3}\). This will consist of 8 equal parts, each representing \(\frac{1}{3}\) of the whole. By comparing the tape diagrams, we can visually see that all three expressions are equal, thus proving the given statement.