https://file.aiquickdraw.com/mathbot/file/1726398491492114vztsd.jpg

To solve the problem in the image, we need to arrange the four numbers in ascending order (smallest to largest) to satisfy the given inequality. Let's list and compare the numbers first:

1. **13.584**
2. **13.59**
3. **13.5745**
4. **13.587**

### Step-by-step comparison:
- **13.5745** is the smallest since its decimal part (5745) is less than the others.
- **13.584** comes next, as its decimal part (584) is greater than 5745 but smaller than the remaining numbers.
- **13.587** follows, as its decimal part (587) is smaller than 590 but greater than 584.
- **13.59** is the largest, as its decimal part (590) is greater than the others.

### Correct order:
\[
13.5745 < 13.584 < 13.587 < 13.59
\]

Thus, the inequality should look like:
\[
13.5745 \ < \ 13.584 \ < \ 13.587 \ < \ 13.59
\]

Would you like further details or any clarifications?

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Here are 5 related questions for further practice:
1. Arrange the numbers 14.356, 14.354, 14.358, and 14.355 in ascending order.
2. How do you compare decimal numbers with different numbers of digits?
3. What is the difference between 13.59 and 13.587?
4. How can you round 13.5745 to three decimal places?
5. Explain how inequality symbols work in mathematical comparisons.

**Tip**: When comparing decimal numbers, look at each place value (tenths, hundredths, etc.) starting from the left to ensure accuracy.

Put the number cards given below into the correct order to make the inequality true.

Learn how to arrange decimal numbers in the correct order to satisfy an inequality. This activity involves comparing decimals like 13.584, 13.59, 13.5745, and 13.587 to understand their value relationships. Suitable for elementary school students in grades 4 to 6.

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