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The mass given is \( 0.007502 \times 10^{-26} \, \text{g} \). We are tasked with converting this mass to milligrams (mg) and determining the number of significant figures in the result.

### Step 1: Convert grams to milligrams
Since \( 1 \, \text{mg} = 10^{-3} \, \text{g} \), we can convert the mass from grams to milligrams:

\[
\text{Mass in mg} = 0.007502 \times 10^{-26} \, \text{g} \times 10^{3} \, \left(\frac{\text{mg}}{\text{g}}\right)
\]

\[
\text{Mass in mg} = 0.007502 \times 10^{-23} \, \text{mg}
\]

### Step 2: Determine significant figures
The original mass, \( 0.007502 \), has **4 significant figures** (the digits 7, 5, 0, and 2 are significant). 

Since multiplying by a power of 10 (like \( 10^3 \)) does not affect the number of significant figures, the converted mass in milligrams will also have **4 significant figures**.

Thus, the number of significant figures in the mass when converted to milligrams remains **4**.

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Would you like further clarification or details on any step? Here are five related questions for further exploration:

1. What are significant figures, and why do they matter in scientific calculations?
2. How does converting between units affect the significant figures?
3. How would rounding affect the number of significant figures in this problem?
4. Can you explain how the rules for counting significant figures differ in multiplication and addition?
5. What are other common unit conversions that involve significant figures?

**Tip**: Always keep track of significant figures throughout your calculations to maintain precision!

The mass of an element is 0.007502 × 10^(-26) g. Find the number of significant figures when the mass is converted to mg (Both mass values have same order of magnitude).

Learn how to determine the number of significant figures when converting a mass of 0.007502 × 10^(-26) g to milligrams (mg). This problem covers unit conversions and understanding the role of significant figures in scientific calculations. Suitable for students in Grades 9-12.

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