https://file.aiquickdraw.com/mathbot/file/1725570049566nqaphztp.jpg

The problem shown in the image involves multiplying a 2-digit number by another 2-digit number, and you need to fill in the missing digit. 

The multiplication is structured as follows:

```
    78
  × 33
  -----
   2340  (this is 78 multiplied by 30)
+ 2574   (this is 78 multiplied by 3)
  -----
```

To find the missing number:

1. **First, let's break down the multiplication:**

   - **Step 1:** Multiply 78 by 3 (the units place of 33):
     \[
     78 \times 3 = 234
     \]
   - **Step 2:** Since this represents the units place multiplication, it's written as:
     \[
     234
     \]
   - **Step 3:** Multiply 78 by 30 (which is 3 in the tens place of 33):
     \[
     78 \times 30 = 2340
     \]

2. **Now, align and add the partial products:**

   ```
     2340
   + 234 (but this should be aligned as 2574 according to the problem)
   ------
     2574
   ```

It looks like the problem requires you to find the digit that completes this operation. Considering the partial products already written, the missing number appears in the hundreds place of the second row.

3. **If you add these two:**

   ```
     2340 (this is 78 multiplied by 30)
   + 234 (this should add up to 2574, so the missing digit in the original problem is 2)
   ------
   ```

   After identifying and matching the products, we see that the missing number is **2**.

Would you like to go through the steps in more detail, or do you have any questions about this process?

Here are 5 follow-up questions to consider:
1. How would you multiply larger numbers by breaking them into smaller steps?
2. Can you identify any shortcuts for mental math with multiplications like this?
3. Why does it help to align numbers by their place value during multiplication?
4. How would this multiplication change if the second number was 34 instead of 33?
5. What would happen if you forgot to carry over digits in this multiplication process?

**Tip:** Always double-check your alignment and place values when adding the results of partial multiplications; it ensures accuracy in your final answer.

Multiply a 2-digit number by a 2-digit number: complete the multiplication with the missing digit.

Find the missing number in a two-digit multiplication problem (78 × 33). Understand the steps of multiplying two numbers by aligning partial products, using place value, and filling in the missing digit. Suitable for students in grades 5-6.

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