Significant Figures Review worksheet with a color-by-number activity.

It looks like you've uploaded a "Significant Figures Review" worksheet that combines a color-by-number activity with a review of significant figures rules. The goal is to determine the number of significant figures in each given number, then color the corresponding sections of the image based on the number of significant figures.

Since I can't view images directly, I’ll guide you through how to solve this type of problem and explain the logic behind it so you can complete the worksheet yourself.

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🔍 Step 1: Understand the Rules for Significant Figures

Here are the standard rules for determining significant figures:

1. All non-zero digits are significant.
- Example: 345 has 3 significant figures.

2. Zeros between non-zero digits are significant.
- Example: 304 has 3 significant figures.

3. Leading zeros (before the first non-zero digit) are NOT significant.
- Example: 0.0045 has 2 significant figures.

4. Trailing zeros (after the last non-zero digit) are significant ONLY if there is a decimal point.
- Example:
- 4500 → 2 significant figures (no decimal)
- 4500. → 4 significant figures (decimal present)

5. For numbers in scientific notation, only count the digits in the coefficient.
- Example: 3.45 × 10⁴ has 3 significant figures.

6. Exact numbers (like counts or defined values) have infinite significant figures, but they’re not typically used in these exercises.

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🎨 Step 2: Apply Rules to Each Number

You’ll see various numbers written in the image (likely inside shapes or regions). For each number, follow the steps above to count significant figures.

Let’s go through some examples from typical worksheets like this:

| Number | Significant Figures | Reason |
|------------------|---------------------|-------|
| 345 | 3 | All non-zero digits |
| 0.0078 | 2 | Leading zeros don’t count; 7 and 8 do |
| 500 | 1 | No decimal → trailing zeros not significant |
| 500. | 3 | Decimal present → all three digits significant |
| 2.00 × 10³ | 3 | Coefficient 2.00 has 3 sig figs |
| 0.0001 | 1 | Only the 1 is significant |
| 100.0 | 4 | Trailing zero after decimal is significant |
| 1.23 × 10⁻⁵ | 3 | 1.23 has 3 digits |

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🖌️ Step 3: Color the Sections

The worksheet likely has a legend like:

- 1 sig fig → Color A (e.g., red)
- 2 sig fig → Color B (e.g., blue)
- 3 sig fig → Color C (e.g., green)
- etc.

Each region in the image contains a number. You:
1. Determine how many significant figures it has.
2. Use the legend to find the matching color.
3. Color that section accordingly.

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🧠 Tips for Solving

- Look carefully at decimal points — they change whether trailing zeros count.
- Be cautious with scientific notation — focus only on the coefficient.
- Remember: "Captive zeros" (between non-zeros) always count.
- Leading zeros never count.

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✔ Final Step: Complete the Image

Once you’ve colored all the regions correctly, you should reveal a picture (often an animal or object). This makes learning fun and engaging!

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📝 Example Walkthrough

Suppose one region says: 0.00250

- Leading zeros? Yes → ignore
- 2 and 5 → significant
- Trailing zero after decimal? Yes → significant
- So: 3 significant figures

→ Color that region according to the "3 sig fig" color.

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If you can provide the list of numbers from the worksheet (or describe them), I can help you determine their significant figures and assign colors.

Otherwise, use the rules above to complete your coloring page! Let me know if you'd like help with specific numbers.