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This question asks you to use place-value blocks or an array to find the partial products and final product for the multiplication \( 4 \times 125 \). Let's break it down:

### Method 1: Using Place-Value Blocks
The number 125 can be broken down into its place values:
- 100 (hundreds place)
- 20 (tens place)
- 5 (ones place)

Now, multiply each place value by 4:

\[
4 \times 100 = 400
\]
\[
4 \times 20 = 80
\]
\[
4 \times 5 = 20
\]

### Adding Partial Products
\[
400 + 80 + 20 = 500
\]

Thus, the final product is 500.

### Method 2: Using an Array
You can create an array with 4 rows and each row having 125 units. This array could be divided into smaller sections:
- One section for 100 units (4 rows × 100)
- Another for 20 units (4 rows × 20)
- Another for 5 units (4 rows × 5)

The total units would again add up to 500, confirming the same final product.

Do you want any more details or have any questions? 

Here are five related questions to further your understanding:
1. How would you break down a different number, like 4 × 132, using place-value blocks?
2. Can you draw an array to represent other multiplication problems, like 6 × 134?
3. What are the advantages of breaking numbers into place values for multiplication?
4. How would you explain partial products to a younger student?
5. How do place-value blocks help with larger numbers?

### Tip:
When breaking down numbers using place-value blocks, always consider the hundreds, tens, and ones to make multiplication easier!

Show how you can use place-value blocks or draw an array to find the partial products and product for 4 × 125.

Learn how to use place-value blocks or draw an array to calculate the partial products and product for 4 × 125. This step-by-step guide demonstrates breaking down the number using place-value and arrays, helping students grasp multiplication concepts. Suitable for Grades 3-5.

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