Place Value Color by Number Worksheets for 4th Grade - Free Printable

This image shows a "Place Value Color-by-Code" math activity created by Leah Popinski of SumMathFun.com. It's an educational worksheet designed to help students practice rounding numbers and understanding place value, while also engaging in a fun coloring activity.

Let’s break down how this activity works and solve it step by step.

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🔍 What is the Task?

The central worksheet contains a grid of numbers inside irregular shapes (like a stained glass design). Each number must be rounded to the nearest specified value (e.g., 10, 100, or 1000), then colored according to a color code based on the rounded result.

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🎨 Color Code Instructions

From the visible key:

| Range | Color |
|------|-------|
| > than 10,408 but < than 12,487 | WHITE |
| > than 23,561 but < than 22,837 | ORANGE |
| > than 54,624 but < than 78,359 | RED |

Wait — there seems to be a typo or inconsistency here. Let’s double-check:

> The second range says: > than 23,561 but < than 22,837
But 23,561 > 22,837, so this condition is impossible — no number can be both greater than 23,561 and less than 22,837.

Likely, this is a typo. Looking at the answer key images, we see that the actual ranges are more logical.

Let’s analyze the corrected color code from the answer key shown in the background.

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✔ Corrected Color Code (based on answer key)

Looking at the completed version on the right:

| Number Range | Color |
|--------------|--------|
| Rounds to 70 | YELLOW |
| Rounds to 80 | LIGHT BLUE |
| Rounds to 120 | DARK BLUE |
| Rounds to 10 | NEAREST 10 → ? |
| Between 299,515 and 340,816 | DARK PURPLE |
| Between 134,216 and 162,175 | WHITE |
| Between 73,810 and 82,594 | PINK |
| Between 340,745 and 340,810 | PINK |

Wait — this appears to be two different activities.

Let’s focus on the main worksheet in the center, which has numbers like:

```
57,012
63,482
60,819
...
```

And the color code box says:

| Condition | Color |
|---------|-------|
| > than 10,408 but < than 12,487 | WHITE |
| > than 23,561 but < than 22,837 | ORANGE ← ✘ Invalid |
| > than 54,624 but < than 78,359 | RED |

Again, the ORANGE range is invalid because 23,561 > 22,837.

So likely, the correct intended ranges are:

- ORANGE: > than 22,837 but < than 23,561

But even that doesn't make sense because 22,837 < 23,561.

Wait — maybe the order is reversed?

Let’s look at the actual numbers in the grid.

For example:
- 10,683
- 12,400
- 16,027
- 18,200
- 20,164
- 21,841
- 21,837
- 22,810
- 23,561
- 24,492
- 26,927
- 34,521
- 54,832
- 55,111
- 60,819
- 63,482
- 75,965

Now, let’s suppose the color code is based on rounding to the nearest thousand or nearest hundred, not just comparing raw values.

But the instructions say “Color-by-Code” with ranges.

Let’s re-express the color code as it should be:

From the completed examples on the left and right, we can deduce:

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✔ Correct Interpretation (Based on Visuals)

Looking at the colored versions, the pattern suggests that:

- Numbers are rounded to the nearest 10, 100, or 1000
- Then, depending on the rounded value, they get a color.

But the key in the center seems incomplete or misprinted.

Let’s assume the corrected key is:

| Rounded Value | Color |
|---------------|-------|
| Rounds to 70 | YELLOW |
| Rounds to 80 | LIGHT BLUE |
| Rounds to 120 | DARK BLUE |
| Rounds to 10 | NEAREST 10 → e.g., 10, 20, etc. |
| Between 299,515 and 340,816 | DARK PURPLE |
| Between 134,216 and 162,175 | WHITE |
| Between 73,810 and 82,594 | PINK |

But again, the numbers in the central grid are mostly under 100,000.

Wait — let’s pick one number and test.

Take 10,683.

If we round to nearest 10: 10,680
To nearest 100: 10,700
To nearest 1000: 11,000

Now, look at the color code in the center:

- > than 10,408 but < than 12,487 → WHITE

10,683 is between 10,408 and 12,487 → So it should be WHITE

Similarly, 12,400 is also in that range → WHITE

18,200 → greater than 12,487 → not white

Now check next:

> than 23,561 but < than 22,837 → impossible

So likely, it's a typo, and it should be:

> than 22,837 but < than 23,561 → ORANGE

But 22,837 < 23,561 → possible

Then:

> than 54,624 but < than 78,359 → RED

So now the corrected key is:

| Range | Color |
|------|-------|
| 10,408 < x < 12,487 | WHITE |
| 22,837 < x < 23,561 | ORANGE |
| 54,624 < x < 78,359 | RED |

Now, let’s apply this to the numbers.

---

🔢 Step-by-Step Solution for Central Worksheet

We'll go through a few numbers and assign colors.

#### Example 1: 10,683
- Is it > 10,408? Yes
- Is it < 12,487? Yes
→ WHITE

#### Example 2: 12,400
- > 10,408? Yes
- < 12,487? Yes (12,400 < 12,487)
→ WHITE

#### Example 3: 18,200
- > 12,487? Yes
- But not in ORANGE range (22,837 < x < 23,561)? No
- Not in RED range? 54,624 < x < 78,359? No
→ Maybe another color? But only three listed.

Wait — perhaps the other colors (like BROWN) are missing.

Looking back at the key:

It says:

- > than 10,408 but < than 12,487 → WHITE
- > than 23,561 but < than 22,837 → ORANGE ← still wrong
- > than 54,624 but < than 78,359 → RED
- > than 15,487 but < than 22,837 → BROWN

Ah! Here's the full key:

| Range | Color |
|-------|-------|
| > 10,408 and < 12,487 | WHITE |
| > 15,487 and < 22,837 | BROWN |
| > 23,561 and < 22,837 | ORANGE ← still invalid!

No — this is backwards.

Wait — the correct order must be:

- > 10,408 and < 12,487 → WHITE
- > 15,487 and < 22,837 → BROWN
- > 22,837 and < 23,561 → ORANGE
- > 54,624 and < 78,359 → RED

Yes! That makes sense.

So the corrected color code is:

| Range | Color |
|------|-------|
| 10,408 < x < 12,487 | WHITE |
| 15,487 < x < 22,837 | BROWN |
| 22,837 < x < 23,561 | ORANGE |
| 54,624 < x < 78,359 | RED |

Now let’s apply it.

---

✔ Apply the Code to Sample Numbers

1. 10,683
- 10,408 < 10,683 < 12,487 → WHITE

2. 12,400
- 12,400 < 12,487 → yes, and > 10,408 → WHITE

3. 16,027
- > 15,487? Yes
- < 22,837? Yes → BROWN

4. 18,200
- Same → BROWN

5. 21,841
- Still < 22,837 → BROWN

6. 22,810
- 22,810 < 22,837 → still < → BROWN

7. 23,561
- = 23,561 → not less than 23,561 → so not in ORANGE
- Also > 22,837, but not < 23,561 → so not ORANGE
- > 23,561? No, equal → not in any range yet

Wait — ORANGE is defined as > 23,561 and < 22,837 → impossible

Ah — again, typo.

Correct should be:

- ORANGE: > 22,837 and < 23,561

So:

- 22,810 → < 22,837 → BROWN
- 23,561 → = 23,561 → not less → not in ORANGE
- 24,492 → > 23,561 → but not < 23,561 → so not ORANGE
- But 24,492 is not in RED either (RED starts at 54,624)

So what about 24,492?

Maybe it’s not covered? But in the answer key, it's colored.

Wait — looking at the completed image, the number 24,492 is in a light blue region.

But the key only lists four colors: WHITE, ORANGE, BROWN, RED.

Wait — perhaps the leftmost image has a different key.

Look at the top-left image:

It says:

- Rounds to 70 → YELLOW
- Rounds to 80 → LIGHT BLUE
- Rounds to 120 → DARK BLUE
- Nearest 10 → ?

Ah! This is a different activity — rounding to the nearest 10, 100, etc.

So there are multiple versions.

But the central worksheet is likely meant to be used with the color-by-range key.

Let’s assume the correct key is:

| Range | Color |
|------|-------|
| 10,408 < x < 12,487 | WHITE |
| 15,487 < x < 22,837 | BROWN |
| 22,837 < x < 23,561 | ORANGE |
| 54,624 < x < 78,359 | RED |

Now:

- 24,492 → not in any range → maybe default? But probably not.

Wait — 24,492 is greater than 23,561, but less than 54,624 → so not in RED.

So no color? But in the answer key, it's colored.

Alternative idea: Round to nearest 1000, then use the color code.

Try that.

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🔁 Alternative Approach: Round to Nearest 1000

Let’s try rounding each number to the nearest 1000, then see if it fits.

Example:

- 10,683 → 11,000
- 12,400 → 12,000
- 16,027 → 16,000
- 18,200 → 18,000
- 21,841 → 22,000
- 22,810 → 23,000
- 23,561 → 24,000
- 24,492 → 24,000
- 26,927 → 27,000
- 34,521 → 35,000
- 54,832 → 55,000
- 60,819 → 61,000
- 63,482 → 63,000
- 75,965 → 76,000

Now check:

- 11,000 → between 10,408 and 12,487? Yes → WHITE
- 12,000 → same → WHITE
- 16,000 → between 15,487 and 22,837 → BROWN
- 18,000 → BROWN
- 22,000 → BROWN
- 23,000 → between 22,837 and 23,561? Yes → ORANGE
- 24,000 → > 23,561 → not in ORANGE, but < 54,624 → not RED → no color
- 27,000 → same
- 35,000 → same
- 55,000 → > 54,624 and < 78,359 → YES → RED
- 61,000 → RED
- 63,000 → RED
- 76,000 → RED

So:

- 54,832 → 55,000 → RED
- 60,819 → 61,000 → RED
- 63,482 → 63,000 → RED
- 75,965 → 76,000 → RED

That matches the completed image where those areas are red.

Similarly, 22,810 → rounds to 23,000 → between 22,837 and 23,561 → ORANGE

But 23,000 is greater than 22,837 and less than 23,561 → YES → ORANGE

Similarly, 23,561 → rounds to 24,000 → > 23,561 → not in ORANGE, but not in RED → no color?

But 23,561 itself: is it > 23,561? No. So not in ORANGE.

But 24,492 → 24,000 → not in any range.

Wait — maybe the ORANGE range is up to 23,561 inclusive?

But the key says "< than 23,561", so exclusive.

So 23,561 itself is not included.

But in the answer key, it might be colored differently.

Alternatively, the ranges are based on the actual number, not rounded.

Let’s try without rounding.

Back to original idea.

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✔ Final Correct Approach

After reviewing the visuals, the most plausible interpretation is:

> Color the number based on its actual value falling into specific ranges.

And the corrected color code is:

| Range | Color |
|------|-------|
| 10,408 < x < 12,487 | WHITE |
| 15,487 < x < 22,837 | BROWN |
| 22,837 < x < 23,561 | ORANGE |
| 54,624 < x < 78,359 | RED |

Now, apply to numbers:

- 10,683 → 10,408 < 10,683 < 12,487 → WHITE
- 12,400 → same → WHITE
- 16,027 → 15,487 < 16,027 < 22,837 → BROWN
- 18,200 → BROWN
- 21,841 → BROWN
- 22,810 → 22,810 < 22,837 → BROWN (still in brown)
- 23,561 → = 23,561 → not < 23,561 → not in ORANGE; not in RED → no color?
- 24,492 → > 23,561, but < 54,624 → not in RED → no color

But wait — 24,492 is not in any range.

But in the completed image, it’s colored blue or something.

Perhaps the range for ORANGE is 22,837 < x ≤ 23,561?

But still, 24,492 is not covered.

Unless there’s a fifth category.

But the key only shows four.

Alternatively, maybe the red range is broader.

Wait — 54,624 < x < 78,359 includes:

- 54,832 → yes → RED
- 60,819 → yes → RED
- 63,482 → yes → RED
- 75,965 → yes → RED

But 24,492 is not in any.

So perhaps the intended solution is to round to the nearest 100 or 1000, and then match.

But the best explanation is:

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✔ Conclusion: How to Solve

1. Use the color code provided (even with typos).
2. Fix the typos:
- ORANGE: > 22,837 and < 23,561
- BROWN: > 15,487 and < 22,837
- WHITE: > 10,408 and < 12,487
- RED: > 54,624 and < 78,359
3. For each number in the grid, determine which range it falls into.
4. Color accordingly.

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🧩 Example Coloring

| Number | Range | Color |
|--------|-------|-------|
| 10,683 | 10,408 < x < 12,487 | WHITE |
| 12,400 | 10,408 < x < 12,487 | WHITE |
| 16,027 | 15,487 < x < 22,837 | BROWN |
| 18,200 | BROWN |
| 21,841 | BROWN |
| 22,810 | BROWN |
| 23,561 | Not in any range → possibly ORANGE if inclusive, but per key, not |
| 24,492 | Not in any range → perhaps BLUE or GREEN — but not specified |
| 26,927 | Not in any range |
| 34,521 | Not in any range |
| 54,832 | 54,624 < x < 78,359 | RED |
| 60,819 | RED |
| 63,482 | RED |
| 75,965 | RED |

So only some numbers are colored.

But in the completed image, all regions are colored, so likely the ranges cover all numbers.

Therefore, the only logical conclusion is that the ranges are based on rounding.

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✔ Best Solution: Round to Nearest 1000, Then Use Ranges

Let’s define:

- Round each number to nearest 1000.
- Then assign color based on the rounded value.

Rounded values:

| Number | Rounded to 1000 | Range | Color |
|--------|------------------|-------|-------|
| 10,683 | 11,000 | 10,408 < 11,000 < 12,487 | WHITE |
| 12,400 | 12,000 | WHITE |
| 16,027 | 16,000 | 15,487 < 16,000 < 22,837 | BROWN |
| 18,200 | 18,000 | BROWN |
| 21,841 | 22,000 | BROWN |
| 22,810 | 23,000 | 22,837 < 23,000 < 23,561 | ORANGE |
| 23,561 | 24,000 | 24,000 > 23,561 → not in ORANGE, not in RED → ?? |
| 24,492 | 24,000 | same |
| 26,927 | 27,000 | same |
| 34,521 | 35,000 | same |
| 54,832 | 55,000 | 54,624 < 55,000 < 78,359 | RED |
| 60,819 | 61,000 | RED |
| 63,482 | 63,000 | RED |
| 75,965 | 76,000 | RED |

Now, 23,000 is between 22,837 and 23,561 → ORANGE

But 24,000 is not in any range.

Unless the ORANGE range is up to 24,000?

But the key says < 23,561.

So 23,000 is in, 24,000 is out.

But in the answer key, the area around 24,492 is dark blue, which may indicate a different activity.

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🟩 Final Answer

Due to the typo in the color code, the most accurate way to solve this is:

> Round each number to the nearest 1000, then use the following corrected color code:

| Rounded Value | Color |
|---------------|-------|
| 11,000 or 12,000 | WHITE |
| 16,000 to 22,000 | BROWN |
| 23,000 | ORANGE |
| 55,000 to 76,000 | RED |

And color the regions accordingly.

However, since the image is promotional, the exact solution depends on the teacher's intent.

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📝 Summary

- This is a color-by-code math worksheet focusing on place value and rounding.
- Students must compare numbers to ranges and color accordingly.
- There is a typo in the key (e.g., " > than 23,561 but < than 22,837").
- The correct ranges should be:
- WHITE: 10,408 < x < 12,487
- BROWN: 15,487 < x < 22,837
- ORANGE: 22,837 < x < 23,561
- RED: 54,624 < x < 78,359
- For numbers not in these ranges, they may fall into other categories or be rounded first.
- The intended solution is to use the corrected ranges and color each region based on the number inside.

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✔ Final Tip: Always check for typos in keys and use context (like completed images) to infer the correct logic.