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The problem asks you to find the product of \(23 \times 54\) and to explain the method used. Let's go over a couple of approaches and solve it.

---

### Method 1: Standard Multiplication Algorithm  
1. Write the numbers vertically:
   ```
     23
   × 54
   ----
   ```
2. Multiply 4 by 23:
   ```
     23 × 4 = 92
   ```
   Write 92 under the line, aligned with the right side.

3. Multiply 5 (which represents 50) by 23:
   ```
     23 × 50 = 1150
   ```
   Write 1150 under the first result, shifted one place to the left.

4. Add the two results:
   ```
     92
   +1150
   ------
    1242
   ```

So, \(23 \times 54 = 1242\).

---

### Method 2: Distributive Property  
We can break one of the numbers into smaller parts to simplify the multiplication. 

\[
23 \times 54 = 23 \times (50 + 4)
\]

Now apply the distributive property:

\[
23 \times 50 + 23 \times 4
\]

1. \(23 \times 50 = 1150\)  
2. \(23 \times 4 = 92\)

Now add the two products:

\[
1150 + 92 = 1242
\]

---

### Explanation  
Both methods give the same result:  
\[
23 \times 54 = 1242
\]

The **standard multiplication** is a quick and straightforward approach for multiplying two-digit numbers. The **distributive property** method helps us break the multiplication into easier parts, which can be useful if mental math is involved.

---

Would you like more details on either method?  
Here are five related questions:

1. How can partial products help with larger multiplications?
2. What is the advantage of using the distributive property?
3. How do you multiply three-digit numbers using the standard method?
4. Can you estimate the product \(23 \times 54\) by rounding first?
5. What strategies are helpful for mental multiplication?

**Tip:** Practice both methods regularly to become confident in multiplying numbers, even without a calculator!

Choose a method and find the product of 23 × 54. Explain your method.

Learn how to multiply 23 by 54 using the standard multiplication method and the distributive property. This problem illustrates two ways to solve a two-digit multiplication problem, suitable for students in Grades 4-6.

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