Math worksheet for comparing and ordering numbers, suitable for elementary students.

Problem: Comparing and Ordering Numbers

The worksheet asks us to compare numbers using the symbols `<`, `>`, or `=` and then arrange sets of numbers in descending and ascending order. Let's solve each part step by step.

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#### Part 1: Compare the numbers using `<`, `>`, or `=`

1. 67,455 ______ 67,544
- Compare digit by digit:
- Thousands place: Both are 67.
- Hundreds place: Both are 4.
- Tens place: 5 (first number) < 4 (second number).
- Answer: \( 67,455 < 67,544 \)

2. 121,122 ______ 112,757
- Compare digit by digit:
- Hundred-thousands place: Both are 1.
- Ten-thousands place: 2 (first number) > 1 (second number).
- Answer: \( 121,122 > 112,757 \)

3. 64,940 ______ 63,000
- Compare digit by digit:
- Ten-thousands place: Both are 6.
- Thousands place: 4 (first number) > 3 (second number).
- Answer: \( 64,940 > 63,000 \)

4. 29,344 ______ 32,426
- Compare digit by digit:
- Ten-thousands place: Both are 0.
- Thousands place: 2 (first number) < 3 (second number).
- Answer: \( 29,344 < 32,426 \)

5. 750,655 ______ 751,993
- Compare digit by digit:
- Hundred-thousands place: Both are 7.
- Ten-thousands place: Both are 5.
- Thousands place: 0 (first number) < 1 (second number).
- Answer: \( 750,655 < 751,993 \)

6. 73,387 ______ 71,200
- Compare digit by digit:
- Ten-thousands place: Both are 0.
- Thousands place: 7 (both numbers).
- Hundreds place: 3 (first number) > 1 (second number).
- Answer: \( 73,387 > 71,200 \)

7. 56,437 ______ 56,437
- All digits are identical.
- Answer: \( 56,437 = 56,437 \)

8. 124,564 ______ 127,453
- Compare digit by digit:
- Hundred-thousands place: Both are 1.
- Ten-thousands place: Both are 2.
- Thousands place: 4 (first number) < 7 (second number).
- Answer: \( 124,564 < 127,453 \)

9. 65,001 ______ 650,001
- Compare digit by digit:
- Hundred-thousands place: 0 (first number) < 6 (second number).
- Answer: \( 65,001 < 650,001 \)

10. 39,756 ______ 39,756
- All digits are identical.
- Answer: \( 39,756 = 39,756 \)

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#### Part 2: Arrange the following in descending order

11. 56,861 | 43,121 | 10,888 | 84,201 | 37,334
- Sort in descending order:
- Largest: 84,201
- Next: 56,861
- Next: 43,121
- Next: 37,334
- Smallest: 10,888
- Answer: \( 84,201, 56,861, 43,121, 37,334, 10,888 \)

12. 423,114 | 912,454 | 342,090 | 260,711 | 339,821
- Sort in descending order:
- Largest: 912,454
- Next: 423,114
- Next: 342,090
- Next: 339,821
- Smallest: 260,711
- Answer: \( 912,454, 423,114, 342,090, 339,821, 260,711 \)

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#### Part 3: Arrange the following in ascending order

13. 88,121 | 23,904 | 65,110 | 20,670 | 45,332
- Sort in ascending order:
- Smallest: 20,670
- Next: 23,904
- Next: 45,332
- Next: 65,110
- Largest: 88,121
- Answer: \( 20,670, 23,904, 45,332, 65,110, 88,121 \)

14. 674,980 | 710,095 | 421,453 | 311,301 | 548,000
- Sort in ascending order:
- Smallest: 311,301
- Next: 421,453
- Next: 548,000
- Next: 674,980
- Largest: 710,095
- Answer: \( 311,301, 421,453, 548,000, 674,980, 710,095 \)

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Final Answers:

1. \( 67,455 < 67,544 \)
2. \( 121,122 > 112,757 \)
3. \( 64,940 > 63,000 \)
4. \( 29,344 < 32,426 \)
5. \( 750,655 < 751,993 \)
6. \( 73,387 > 71,200 \)
7. \( 56,437 = 56,437 \)
8. \( 124,564 < 127,453 \)
9. \( 65,001 < 650,001 \)
10. \( 39,756 = 39,756 \)

11. \( 84,201, 56,861, 43,121, 37,334, 10,888 \)
12. \( 912,454, 423,114, 342,090, 339,821, 260,711 \)

13. \( 20,670, 23,904, 45,332, 65,110, 88,121 \)
14. \( 311,301, 421,453, 548,000, 674,980, 710,095 \)

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
1. < \\
2. > \\
3. > \\
4. < \\
5. < \\
6. > \\
7. = \\
8. < \\
9. < \\
10. = \\
11. 84,201, 56,861, 43,121, 37,334, 10,888 \\
12. 912,454, 423,114, 342,090, 339,821, 260,711 \\
13. 20,670, 23,904, 45,332, 65,110, 88,121 \\
14. 311,301, 421,453, 548,000, 674,980, 710,095 \\
\end{array}
}
\]