Practice place value with base-ten blocks to complete number equations.

Let's solve the Place Value Blocks problem step by step. We are given a series of equations using visual blocks representing hundreds, tens, and ones:

- A green square = 100
- A yellow rectangle = 10
- A blue small square = 1

We need to fill in the missing numbers based on the place values.

---

Problem 1:

```
[Green] 5 [Blue] = 451
```

- Green block = 100 → So one green block = 100
- We have one green block, so that’s 100
- Then we have 5 yellow blocks → 5 × 10 = 50
- Then we have some blue blocks (ones), and total is 451

So far:
- 100 (from green) + 50 (from yellow) = 150
- Total is 451 → So ones must be: 451 - 150 = 301

Wait — that can't be right because blue blocks represent ones, so we can’t have 301 ones.

Wait — let's look again.

Actually, the format is:

```
[Green] 5 [Blue] = 451
```

This means:
- The number has:
- Hundreds: ? (represented by green)
- Tens: 5 (from yellow bars)
- Ones: ? (from blue)

But wait — there’s only one green block, which is 100.

So:
- Hundreds digit = 1 (because one green block)
- Tens digit = 5 (given)
- So far: 100 + 50 = 150
- Total is 451 → So ones must be: 451 - 150 = 301

But we can't have 301 ones — that’s impossible with single digits.

Ah! Wait — maybe I misread the structure.

Looking at the layout:

It seems like the first blank is for the number of green blocks (hundreds), then tens digit is given as 5, then ones digit is blank, and the total is 451.

So:
- Let the number of green blocks = H
- Tens digit = 5
- Ones digit = O
- Total = 451

So:
H × 100 + 5 × 10 + O = 451
→ 100H + 50 + O = 451
→ 100H + O = 401

Now, H must be an integer between 0 and 9.

Try H = 4:
100×4 = 400 → 400 + O = 401 → O = 1 → ✔

So:
- H = 4 (four green blocks)
- Tens = 5
- Ones = 1
- Total = 451

But in the image, only one green block is shown? Wait — no, the first row shows a green block, but it's labeled as " = 100", so each green block is 100.

But in the first equation, it shows one green block, then "5" (for tens), then blank for ones, and equals 451?

That would mean:
- 100 + 50 + ? = 451 → ? = 301 → impossible

So contradiction.

Wait — perhaps the number of green blocks is not shown — the blank is where we put how many green blocks.

Let me re-express the layout properly.

Looking at the image:

Each line has:
- A blank or number before a green block
- Then a number (or blank) for tens (yellow bar)
- Then a blank or number for ones (blue dot)
- Equals a number

So:

---

Line 1:

```
____ 5 __ = 451
```
With:
- Green block = 100
- Yellow bar = 10
- Blue dot = 1

So:
- Hundreds: ?
- Tens: 5
- Ones: ?
- Total: 451

So:
100 × H + 10 × 5 + 1 × O = 451
→ 100H + 50 + O = 451
→ 100H + O = 401

Try H = 4 → 400 + O = 401 → O = 1 → ✔

So:
- Hundreds: 4 → 4 green blocks
- Tens: 5
- Ones: 1

But the image shows only one green block drawn — but that might just be a placeholder.

Wait — no, actually, in the first line, the green block is drawn, but the blank is before it, meaning we need to fill in how many green blocks there are.

But if only one green block is drawn, then H = 1?

But then:
100 + 50 + O = 150 + O = 451 → O = 301 → impossible.

So the drawing of the green block may indicate one block, so H = 1.

But that leads to contradiction.

Wait — perhaps the blank is for the number of green blocks, and the block is drawn as a symbol, not necessarily indicating quantity.

But typically, in such worksheets, the number of blocks drawn corresponds to the digit.

So let's assume that:

- The number of green blocks drawn represents the hundreds digit.
- The number of yellow bars drawn represents the tens digit.
- The number of blue dots drawn represents the ones digit.

So let's analyze each line carefully.

---

Line 1:

```
[Green block] 5 [Blue dot] = 451
```

Wait — this is ambiguous.

But looking at the original:

It says:
```
[Green] 5 [Blue] = 451
```

And the green block is drawn once, yellow bar is written as "5", blue dot is blank.

So:
- One green block → 100
- Tens digit is 5 → 50
- Ones digit is blank → ?
- Total = 451

So: 100 + 50 + ? = 451 → ? = 301 → impossible.

Contradiction.

So either:
- The green block is not meant to be counted as one — or
- The "5" is not the tens digit, but the number of yellow bars?

Wait — perhaps the 5 is the number of yellow bars.

But in the diagram, only one yellow bar is shown.

Look at the legend:
- Green square = 100
- Yellow rectangle = 10
- Blue dot = 1

Then the first line:
- One green block
- Then "5" next to yellow bar
- Then blank next to blue dot
- Equals 451

Ah! So the "5" is the number of yellow bars — but only one yellow bar is drawn?

No — probably the number "5" is the tens digit, and the yellow bar is just a symbol.

So the layout is:
- First blank: number of green blocks (hundreds)
- Then: tens digit = 5
- Then: ones digit = ?
- Total = 451

But if only one green block is drawn, then H = 1.

But 100 + 50 + O = 150 + O = 451 → O = 301 → impossible.

So perhaps the green block is not drawn in the first line?

Wait — let's look at the actual image description.

The user said: "I uploaded an image with a task"

But since I can't see the image, I have to rely on your text.

You wrote:

> Fill in the missing numbers using the information you have.
>
> [Green] = 100, [Yellow] = 10, [Blue] = 1
>
> Then:
>
> ___ [Green] 5 [Blue] = 451
>
> 1 [Green] 7 2 [Blue] = ___
>
> ___ [Green] ___ [Yellow] ___ [Blue] = 328
>
> ___ [Green] ___ [Yellow] ___ [Blue] = 764
>
> 9 [Green] 3 [Yellow] 0 [Blue] = ___

Ah! Now I see — the symbols are not drawn in every case; they are used as placeholders.

So the format is:

- A blank or number, then a green block symbol, then a number or blank for tens, then a yellow bar, then a number or blank for ones, then blue dot, then equals.

But from the way it's written, it seems like:

Each line has:
- [Number of green blocks] [Green block] [Tens digit] [Yellow bar] [Ones digit] [Blue dot] = total

But in some lines, the number is missing.

Let me parse each line correctly.

---

Line 1:

```
___ [Green] 5 [Yellow] ___ [Blue] = 451
```

So:
- Hundreds digit: ? (let's call it H)
- Tens digit: 5
- Ones digit: ? (O)
- Total: 451

So:
100H + 50 + O = 451
→ 100H + O = 401

Try H = 4 → 400 + O = 401 → O = 1 → ✔

So:
- H = 4
- Tens = 5
- O = 1

Answer: 4 green blocks, 5 tens, 1 ones → 451

So fill in:
- First blank: 4
- Last blank: 1

So:
```
4 [Green] 5 [Yellow] 1 [Blue] = 451
```

---

Line 2:

```
1 [Green] 7 [Yellow] 2 [Blue] = ___
```

So:
- Hundreds: 1 → 100
- Tens: 7 → 70
- Ones: 2 → 2
- Total = 100 + 70 + 2 = 172

So answer: 172

---

Line 3:

```
___ [Green] ___ [Yellow] ___ [Blue] = 328
```

We need to find digits H, T, O such that:
100H + 10T + O = 328

So:
- H = 3 (since 300 ≤ 328 < 400)
- Then 10T + O = 28 → T = 2, O = 8

So:
- Hundreds: 3
- Tens: 2
- Ones: 8

Fill in:
- First blank: 3
- Second blank: 2
- Third blank: 8

---

Line 4:

```
___ [Green] ___ [Yellow] ___ [Blue] = 764
```

Similarly:
- H = 7 (700)
- 10T + O = 64 → T = 6, O = 4

So:
- Hundreds: 7
- Tens: 6
- Ones: 4

Fill in:
- First blank: 7
- Second blank: 6
- Third blank: 4

---

Line 5:

```
9 [Green] 3 [Yellow] 0 [Blue] = ___
```

- Hundreds: 9 → 900
- Tens: 3 → 30
- Ones: 0 → 0
- Total = 900 + 30 + 0 = 930

---

✔ Final Answers:

1. 4 [Green] 5 [Yellow] 1 [Blue] = 451
2. 1 [Green] 7 [Yellow] 2 [Blue] = 172
3. 3 [Green] 2 [Yellow] 8 [Blue] = 328
4. 7 [Green] 6 [Yellow] 4 [Blue] = 764
5. 9 [Green] 3 [Yellow] 0 [Blue] = 930

---

✔ Summary of Filled Blanks:

| Line | Hundreds | Tens | Ones | Total |
|------|----------|------|------|-------|
| 1 | 4 | 5 | 1 | 451 |
| 2 | 1 | 7 | 2 | 172 |
| 3 | 3 | 2 | 8 | 328 |
| 4 | 7 | 6 | 4 | 764 |
| 5 | 9 | 3 | 0 | 930 |

So the missing numbers are:

1. 4 and 1
2. 172
3. 3, 2, 8
4. 7, 6, 4
5. 930

✔ All solved!