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The question on the image asks to solve the equation \( 19 \div 0.004 \), ensuring the result is given with the correct number of significant figures (SigFigs).

### Step-by-step solution:

1. **Perform the division**:
   \[
   19 \div 0.004 = 4750
   \]

2. **Determine the correct number of significant figures**:
   - \( 19 \) has 2 significant figures.
   - \( 0.004 \) has 1 significant figure.

When performing division or multiplication, the result should have the same number of significant figures as the factor with the fewest significant figures, which is 1 significant figure here.

3. **Adjusting the result**:
   The value \( 4750 \) should be rounded to 1 significant figure, which is \( 5000 \).

Thus, the answer is \( 5000 \) (with 1 significant figure).

Would you like more details, or do you have any questions about the process? Here are some related questions to deepen your understanding:

1. How do significant figures affect the accuracy of scientific calculations?
2. What are the rules for determining the number of significant figures in a number?
3. Why is it important to consider significant figures in division and multiplication?
4. How would the result change if the values had different significant figures?
5. What is the difference between rounding to decimal places and rounding to significant figures?

**Tip**: Always remember to identify the number with the least significant figures in multiplication or division to ensure the correct precision in the final answer.

What is the answer to the following mathematical equations – use the correct number of SigFigs? 19 ÷ 0.004 =

Solve the division problem 19 ÷ 0.004 using significant figures. Understand the rules of significant figures and rounding. Suitable for students in Grades 9-12.

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