To arrange the areas in ascending order, we first need to convert all the given measurements to the same unit. Let's convert everything to square centimeters (cm²) for consistency:

1. Converting each area:

• $230 \, \text{mm}^2$:
  $1 \, \text{mm}^2 = 0.01 \, \text{cm}^2$.
  So, $230 \, \text{mm}^2 = 230 \times 0.01 = 2.3 \, \text{cm}^2$.

• $1.8 \, \text{cm}^2$: Already in cm².

• $22 \, \text{cm}^2$: Already in cm².

• $0.002 \, \text{m}^2$:
  $1 \, \text{m}^2 = 10,000 \, \text{cm}^2$.
  So, $0.002 \, \text{m}^2 = 0.002 \times 10,000 = 20 \, \text{cm}^2$.

2. Write the areas in cm²:

• $2.3 \, \text{cm}^2$
• $1.8 \, \text{cm}^2$
• $22 \, \text{cm}^2$
• $20 \, \text{cm}^2$

3. Arrange in ascending order:

$1.8 \, \text{cm}^2, \, 2.3 \, \text{cm}^2, \, 20 \, \text{cm}^2, \, 22 \, \text{cm}^2.$

Final Answer:

$1.8 \, \text{cm}^2, \, 230 \, \text{mm}^2, \, 0.002 \, \text{m}^2, \, 22 \, \text{cm}^2.$

Would you like further explanation or a breakdown of how I converted the units?

Related Questions:

1. How do you convert from mm² to cm² and vice versa?
2. What are the steps for converting square meters to square centimeters?
3. Can you compare how different units of area relate (e.g., m² to mm²)?
4. How would the solution change if asked for descending order?
5. How can understanding unit conversions help in real-world situations?

Tip:

Always ensure all measurements are in the same unit before comparing or performing calculations. This avoids errors caused by unit mismatch.