Base 10 Blocks Worksheet: Part 2, Free Printable for Children - Free Printable

Let’s solve this step by step.

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First Problem (Top Section):

We are given base-10 blocks:

- 4 large cubes → each = 1000 → so 4 × 1000 = 4000
- 3 flats → each = 100 → so 3 × 100 = 300
- 2 longs → each = 10 → so 2 × 10 = 20
- 9 small cubes → each = 1 → so 9 × 1 = 9

Now add them up:
4000 + 300 = 4300
4300 + 20 = 4320
4320 + 9 = 4329

So the number shown is 4329.

Now check the expanded forms:

- First box: 4000 + 300 + 20 + 7 → that equals 4327 → ✘ not correct
- Second box: 4000 + 300 + 20 + 9 → that equals 4329 → ✔ correct

So we circle 4329, and check the second box.

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Second Problem (Bottom Section):

Base-10 blocks:

- 8 large cubes → 8 × 1000 = 8000
- 5 flats → 5 × 100 = 500
- 0 longs → no tens → 0
- 1 small cube → 1 × 1 = 1

Add them:
8000 + 500 = 8500
8500 + 0 = 8500
8500 + 1 = 8501

Wait — let me double-check the image description from your upload.

Actually, looking again at the bottom section:

You have:

- 8 thousand-cubes? Let’s count:

In the bottom left:

Top row: 3 big cubes
Middle row: 2 big cubes
Bottom row: 3 big cubes → total 8 big cubes → 8000 ✔️

Then flats:

Top row of flats: 3 flats
Bottom row of flats: 2 flats → total 5 flats → 500 ✔️

Longs: none → 0 tens

Small cubes: only 1 small cube → 1

So total: 8000 + 500 + 0 + 1 = 8501

But wait — in the options on the right, for the bottom problem, the numbers listed are:

851, 8501, 8500 → so we should circle 8501

And then the expanded form boxes:

First box: 8000 + 500 + 1 → that’s 8501 → ✔ correct
Second box: 8000 + 50 + 1 → that’s 8051 → ✘ wrong

BUT — hold on! In the worksheet, under the bottom block diagram, it says “8001” as one of the choices to circle? That must be a trick or mislabel.

Wait — let me re-read the structure.

Looking at the layout:

The worksheet has two separate problems.

Problem 1 (top):

Blocks → choose among 3428, 4327, 4329 → we found 4329

Then below that, there's "439" written — but that seems to be part of the same problem? No — actually, looking carefully:

Ah — I think I misread the layout.

Actually, the worksheet is structured like this:

There are TWO separate exercises.

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Exercise 1 (Top Half):

Left side: Blocks showing:

- 4 thousands (big cubes)
- 3 hundreds (flats)
- 2 tens (longs)
- 9 ones (small cubes)

→ So 4329

Right side: Three numbers to circle: 3428, 4327, 4329 → circle 4329

Then below that, it says “439” — but that might be a typo or misplacement? Actually, no — looking again:

Wait — perhaps the “439” is meant to be ignored? Or maybe it’s labeling something else?

Actually, rereading the instructions:

> Circle the number that is shown by base-10 blocks. Then, check the box with the number correctly shown in expanded form.

Under the first block set, you have three numbers: 3428, 4327, 4329 → circle 4329

Then below that, there are two expanded form options:

□ 4000+300+20+7
□ 4000+300+20+9 → check this one

Then there’s a line, and next exercise starts.

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Exercise 2 (Bottom Half):

Left side: Blocks showing:

- 8 thousands (big cubes) → 8000
- 5 hundreds (flats) → 500
- 0 tens (no longs)
- 1 one (small cube) → 1

Total: 8000 + 500 + 0 + 1 = 8501

Right side: Numbers to circle: 851, 8501, 8500 → circle 8501

Then expanded form options:

□ 8000 + 500 + 1 → that’s 8501 → ✔ check this
□ 8000 + 50 + 1 → that’s 8051 → ✘ don’t check

But wait — in the worksheet, under the bottom block diagram, it says “8001” — is that a label? Or is it one of the choices?

Looking back at your original image description:

In the bottom section, after the blocks, it lists:

851 8501 8500
8001 [boxes]

Ah — I see now. The “8001” is probably a distractor or misprint? But according to the blocks, it’s clearly 8501.

Unless... did I miscount the blocks?

Let me recount the bottom blocks carefully:

From your image description:

Bottom left:

Big cubes (thousands):

- Top row: 3
- Middle row: 2
- Bottom row: 3 → total 8 → 8000 ✔️

Flats (hundreds):

- Top row: 3
- Bottom row: 2 → total 5 → 500 ✔️

Longs (tens): none → 0

Small cubes (ones): only 1 → 1

So 8000 + 500 + 0 + 1 = 8501

Therefore, circle 8501

And check the box for 8000 + 500 + 1

Even though “8001” is written nearby, it’s likely just placed there by mistake or as a red herring — because the blocks show 8501.

Alternatively, maybe “8001” is meant to be the answer for a different interpretation? But no — the blocks clearly show 8 thousands, 5 hundreds, 0 tens, 1 one.

Another possibility: maybe the “8001” is the number they want us to compare against? But the instruction says: “Circle the number that is shown by base-10 blocks.” So we go by the blocks, not by any pre-written number unless it matches.

In the top section, they didn’t write the correct number beforehand — they gave options. Same here.

So for bottom section, options are: 851, 8501, 8500 → circle 8501

Expanded form: check 8000+500+1

The “8001” written below might be an error in the worksheet design — perhaps it was meant to be another option, but it’s misplaced. We ignore it and go by the blocks.

Final confirmation:

Top problem: 4329 and 4000+300+20+9

Bottom problem: 8501 and 8000+500+1

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Final Answer:
For the top section: Circle 4329 and check the box for 4000+300+20+9
For the bottom section: Circle 8501 and check the box for 8000+500+1