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.

Question

UpStudy AI · Accepted Answer

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.
The row shows the same pattern as the outlined column up to $$3 \times (-1) = -3$$. Both follow the multiplication of 3 with decreasing integers, but the row does not include $$3 \times (-2) = -6$$. Therefore, the problems are similar in structure but different because the row is incomplete.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Arithmetic Questions