https://file.aiquickdraw.com/mathbot/file/1728439774416kbulw54c.jpg

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?

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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.

Order the following numbers from least to greatest: 3/4, 0.73, sqrt(0.52)

Learn how to order numbers in different forms, including fractions, decimals, and square roots. In this problem, you will compare 3/4, 0.73, and sqrt(0.52) and convert them into decimals for easier comparison. Suitable for students in Grades 6-8.

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