https://file.aiquickdraw.com/mathbot/file/1733698568216oxin0dy3.jpg

To solve the problem of ordering the given numbers from least to greatest, let's evaluate each number:

### Numbers:
1. \( 7.29 \) (already in decimal form)
2. \( 8 \frac{1}{5} \) (mixed fraction)
3. \( \frac{143}{20} \) (improper fraction)
4. \( 7.242 \) (already in decimal form)

### Step 1: Convert all numbers to decimals
1. \( 7.29 \): No conversion needed.
2. \( 8 \frac{1}{5} \):
   \[
   8 \frac{1}{5} = 8 + 0.2 = 8.2
   \]
3. \( \frac{143}{20} \):
   \[
   \frac{143}{20} = 7.15
   \]
4. \( 7.242 \): No conversion needed.

### Step 2: Compare the decimal values
- \( 7.15 \)
- \( 7.242 \)
- \( 7.29 \)
- \( 8.2 \)

### Step 3: Arrange from least to greatest
\[
7.15 < 7.242 < 7.29 < 8.2
\]

### Final Order:
1. \( \frac{143}{20} \) (7.15)
2. \( 7.242 \)
3. \( 7.29 \)
4. \( 8 \frac{1}{5} \) (8.2)

Let me know if you'd like a more detailed explanation or have any follow-up questions! 

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### Questions to expand learning:
1. How can mixed fractions like \( 8 \frac{1}{5} \) be directly converted into decimals?
2. What is the process to compare fractions without converting them to decimals?
3. How are improper fractions like \( \frac{143}{20} \) simplified or converted for comparison?
4. Why is converting numbers into decimals a helpful method in ordering them?
5. Can you explain how to estimate the value of a fraction without exact division?

### Tip:
Always ensure all numbers are in the same form (e.g., decimals or fractions) to make comparisons easier!

Order the following numbers from least to greatest: 7.29, 8 1/5, 143/20, 7.242.

Learn how to order numbers from least to greatest by converting mixed fractions and improper fractions to decimals. This problem involves comparing numbers such as 7.29, 8 1/5, 143/20, and 7.242, and is suitable for students in Grades 6-8.

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