The image shows the task of ordering the following numbers from least to greatest:

1. $\frac{3}{4}$
2. $0.73$
3. $\sqrt{0.52}$

Step-by-step Solution:

1. Convert $\frac{3}{4}$ into a decimal: $\frac{3}{4} = 0.75$

2. Approximate $\sqrt{0.52}$: Use a calculator or approximation for $\sqrt{0.52}$. $\sqrt{0.52} \approx 0.721$

Now, we have:

• $0.75$ (for $\frac{3}{4}$)
• $0.73$
• $0.721$ (for $\sqrt{0.52}$)

Final Order:

From least to greatest: $\sqrt{0.52} \approx 0.721, \ 0.73, \ \frac{3}{4} = 0.75$

So, the order is:

1. $\sqrt{0.52}$
2. $0.73$
3. $\frac{3}{4}$

Would you like any further details or have any questions?

Here are 5 related questions to consider:

1. How do you approximate square roots more accurately?
2. Can irrational numbers like $\sqrt{0.52}$ be written exactly as a decimal?
3. How can you compare fractions and decimals efficiently?
4. What are the properties of square roots of decimal numbers?
5. How does one calculate $\sqrt{0.52}$ without a calculator?

Tip: When comparing numbers with different forms (fractions, decimals, square roots), it's often easiest to convert everything to decimals.