Base ten blocks worksheet - Free Printable

This worksheet asks you to use base-10 blocks to write numbers. Base-10 blocks are a visual tool for understanding place value, where:

* A large cube (thousands block) represents 1,000.
* A flat square (hundreds block) represents 100.
* A long rod (tens block) represents 10.
* A small cube (ones block) represents 1.

I will solve this by counting the blocks in each place value column for both problems on the worksheet.

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First Problem (Top Section)

Let's count the blocks for the first number.

1. Thousands: I can see three large cubes. Each is worth 1,000.
* Count: 3
* Value: $3 \times 1000 = 3000$

2. Hundreds: I can see four flat squares. Each is worth 100.
* Count: 4
* Value: $4 \times 100 = 400$

3. Tens: I can see six long rods. Each is worth 10.
* Count: 6
* Value: $6 \times 10 = 60$

4. Ones: I can see four small cubes. Each is worth 1.
* Count: 4
* Value: $4 \times 1 = 4$

Now, add all the values together:
$3000 + 400 + 60 + 4 = 3464$

The first number is 3,464.

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Second Problem (Bottom Section)

Now, let's count the blocks for the second number.

1. Thousands: I can see four large cubes. Each is worth 1,000.
* Count: 4
* Value: $4 \times 1000 = 4000$

2. Hundreds: I can see five flat squares. Each is worth 100.
* Count: 5
* Value: $5 \times 100 = 500$

3. Tens: I can see three long rods. Each is worth 10.
* Count: 3
* Value: $3 \times 10 = 30$

4. Ones: I can see six small cubes. Each is worth 1.
* Count: 6
* Value: $6 \times 1 = 6$

Now, add all the values together:
$4000 + 500 + 30 + 6 = 4536$

The second number is 4,536.

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Final Answer

The two numbers represented by the base-10 blocks are:
- First Number: 3,464
- Second Number: 4,536