Problem Set 1. Complete the problems below. Then, answer the question that follows. \[ \left.\begin{array}{rrrrr} 3 \times 3=9 & 3 \times 2=6 & 3 \times 1=3 & 3 \times 0=0 & 3 \times(-1)=-3 \end{array}\right) 3 \times(-2)=-6 \] Which row shows the same pattern as the outlined column? Are the problems similar or different? Explain.

To analyze the problem, we need to look at the outlined column and the row provided. The outlined column is: \[ \begin{array}{r} 3 \times 3 = 9 \\ 3 \times 2 = 6 \\ 3 \times 1 = 3 \\ 3 \times 0 = 0 \\ 3 \times (-1) = -3 \\ 3 \times (-2) = -6 \\ \end{array} \] Now, let's examine the row: \[ \begin{array}{rrrrr} 3 \times 3 = 9 & 3 \times 2 = 6 & 3 \times 1 = 3 & 3 \times 0 = 0 & 3 \times (-1) = -3 \end{array} \] ### Step 1: Identify the Pattern The outlined column shows a consistent pattern where the multiplier decreases by 1 each time, starting from 3 down to -2. The results of the multiplication also decrease accordingly: - \(3 \times 3 = 9\) - \(3 \times 2 = 6\) - \(3 \times 1 = 3\) - \(3 \times 0 = 0\) - \(3 \times (-1) = -3\) - \(3 \times (-2) = -6\) ### Step 2: Compare with the Row The row contains the same multiplications but does not include \(3 \times (-2) = -6\). The row shows: - \(3 \times 3 = 9\) - \(3 \times 2 = 6\) - \(3 \times 1 = 3\) - \(3 \times 0 = 0\) - \(3 \times (-1) = -3\) ### Step 3: Conclusion The row shows the same pattern as the outlined column up to \(3 \times (-1)\). However, it does not include the last multiplication \(3 \times (-2) = -6\). ### Are the Problems Similar or Different? The problems are similar in that they both follow the same multiplication pattern with the number 3 and decreasing integers. However, they are different because the row does not include the multiplication by \(-2\), which is part of the outlined column. Thus, while they share a common structure, the row is incomplete compared to the outlined column.