1. What is \( 6 \cdot \frac{2}{3} \) ? Show with a tape diagram.

To find \( 6 \cdot \frac{2}{3} \), you can break it down into understandable pieces. Picture a tape diagram where you have a bar divided into 6 equal sections to represent the number 6. Each section represents 1 whole unit. Since we are multiplying by \(\frac{2}{3}\), you take 2 out of every 3 sections. Thus, you would shade in 4 sections (since \(\frac{2}{3} \times 6 = 4\)) of the 6 total sections. So, \( 6 \cdot \frac{2}{3} = 4 \). To visualize it, imagine a chocolate bar divided into 6 squares (representing the 6). You then take two squares from every three sections. That means in total, you've taken 4 squares! So, you now have 4 squares of chocolate—yummy, right?