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We are asked to put the numbers in order from least to greatest. Let's break them down:

The numbers given are:
1. \( -9 \frac{18}{40} \)
2. \( 0.15 \)
3. \( -9 \frac{24}{32} \)

### Step 1: Convert the mixed fractions into decimal form
- \( -9 \frac{18}{40} = -9 - \frac{18}{40} = -9 - 0.45 = -9.45 \)
- \( -9 \frac{24}{32} = -9 - \frac{24}{32} = -9 - 0.75 = -9.75 \)

### Step 2: Compare the values
Now, the numbers in decimal form are:
- \( -9.45 \)
- \( 0.15 \)
- \( -9.75 \)

### Step 3: Arrange from least to greatest
The correct order is:
1. \( -9.75 \)
2. \( -9.45 \)
3. \( 0.15 \)

Thus, the numbers in order from least to greatest are:
\[ -9 \frac{24}{32}, -9 \frac{18}{40}, 0.15 \]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you convert mixed fractions into improper fractions or decimals?
2. How do you compare negative numbers with decimals?
3. Can you explain how the place value system works when comparing decimals?
4. What happens if all the numbers were positive—how would the order change?
5. How can rounding help when ordering numbers?

**Tip:** Always be careful when comparing negative numbers—remember that a more negative number is smaller!

Put these numbers in order from least to greatest.

Learn how to convert mixed fractions to decimals and order numbers from least to greatest, including handling negative values. This guide provides a step-by-step solution to ordering numbers such as -9 18/40, 0.15, and -9 24/32.

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