https://file.aiquickdraw.com/mathbot/file/1727774177698htqnp4oj.jpg

Let's solve the problems in the image vertically, as requested. Each problem involves multiplying two numbers and filling in the missing squares of a grid. I will walk through each one.

### Problem 1:  
\[53 \times 90\]

Step-by-step vertical multiplication:  
\[
\begin{array}{c}
  53 \\
\times \ 90 \\
\hline
  000 \ (\text{53} \times 0) \\
+ 4770 \ (\text{53} \times 9, shifted one place) \\
\hline
  4770
\end{array}
\]
The result is **4770**.

### Problem 2:  
\[68 \times 95\]

Step-by-step vertical multiplication:  
\[
\begin{array}{c}
  68 \\
\times \ 95 \\
\hline
  340 \ (\text{68} \times 5) \\
+ 6120 \ (\text{68} \times 9, shifted one place) \\
\hline
  6460
\end{array}
\]
The result is **6460**.

### Problem 3:  
\[34 \times 85\]

Step-by-step vertical multiplication:  
\[
\begin{array}{c}
  34 \\
\times \ 85 \\
\hline
  170 \ (\text{34} \times 5) \\
+ 2720 \ (\text{34} \times 8, shifted one place) \\
\hline
  2890
\end{array}
\]
The result is **2890**.

### Problem 4:  
\[88 \times 67\]

Step-by-step vertical multiplication:  
\[
\begin{array}{c}
  88 \\
\times \ 67 \\
\hline
  616 \ (\text{88} \times 7) \\
+ 5280 \ (\text{88} \times 6, shifted one place) \\
\hline
  5896
\end{array}
\]
The result is **5896**.

### Problem 5:  
\[96 \times 66\]

Step-by-step vertical multiplication:  
\[
\begin{array}{c}
  96 \\
\times \ 66 \\
\hline
  576 \ (\text{96} \times 6) \\
+ 5760 \ (\text{96} \times 6, shifted one place) \\
\hline
  6336
\end{array}
\]
The result is **6336**.

### Problem 6:  
\[89 \times 97\]

Step-by-step vertical multiplication:  
\[
\begin{array}{c}
  89 \\
\times \ 97 \\
\hline
  623 \ (\text{89} \times 7) \\
+ 8010 \ (\text{89} \times 9, shifted one place) \\
\hline
  8633
\end{array}
\]
The result is **8633**.

---

Let me know if you need any further clarification!

### 5 Questions to Deepen Your Understanding:
1. How would the result of each problem change if we swapped the digits?
2. What are some strategies for multiplying larger numbers more quickly?
3. How would these multiplication methods extend to three-digit numbers?
4. Why is shifting one place necessary when multiplying the tens place?
5. How can these problems be checked using division?

### Tip:  
Always align numbers carefully when multiplying vertically to ensure accurate placement of the products!

Solve the vertical multiplication problems shown in the image.

Practice vertical multiplication with this worksheet involving two-digit numbers. Solve problems like 53 × 90, 68 × 95, and more. Suitable for students in Grades 4-6, this exercise strengthens arithmetic and place value understanding.

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