2nd Grade Math Worksheet: Comparing Numbers to 1000

Problem Overview:

The task involves comparing pairs of numbers and determining whether one number is greater than (>), less than (<), or equal to (=) the other. Additionally, there are instructions to identify the smallest and largest numbers in each row.

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Step-by-Step Solution:

#### Part 1: Comparing Pairs of Numbers
We need to compare each pair of numbers and use the correct symbol (`>`, `<`, or `=`).

##### Instructions:
- Calculate the values of expressions if necessary.
- Compare the resulting numbers.
- Use the appropriate symbol.

##### Solutions for Each Pair:

1. 128 ____ 100 + 34
- \( 100 + 34 = 134 \)
- \( 128 < 134 \)
- Answer: \( 128 < 100 + 34 \)

2. 365 ____ 300 + 28
- \( 300 + 28 = 328 \)
- \( 365 > 328 \)
- Answer: \( 365 > 300 + 28 \)

3. 400 + 36 ____ 460
- \( 400 + 36 = 436 \)
- \( 436 < 460 \)
- Answer: \( 400 + 36 < 460 \)

4. 100 + 72 ____ 180
- \( 100 + 72 = 172 \)
- \( 172 < 180 \)
- Answer: \( 100 + 72 < 180 \)

5. 397 ____ 200 + 100
- \( 200 + 100 = 300 \)
- \( 397 > 300 \)
- Answer: \( 397 > 200 + 100 \)

6. 600 + 72 ____ 700
- \( 600 + 72 = 672 \)
- \( 672 < 700 \)
- Answer: \( 600 + 72 < 700 \)

7. 700 + 27 ____ 810
- \( 700 + 27 = 727 \)
- \( 727 < 810 \)
- Answer: \( 700 + 27 < 810 \)

8. 900 + 46 ____ 946
- \( 900 + 46 = 946 \)
- \( 946 = 946 \)
- Answer: \( 900 + 46 = 946 \)

9. 684 ____ 600 + 48
- \( 600 + 48 = 648 \)
- \( 684 > 648 \)
- Answer: \( 684 > 600 + 48 \)

10. 563 ____ 300 + 200
- \( 300 + 200 = 500 \)
- \( 563 > 500 \)
- Answer: \( 563 > 300 + 200 \)

11. 705 ____ 600 + 98
- \( 600 + 98 = 698 \)
- \( 705 > 698 \)
- Answer: \( 705 > 600 + 98 \)

12. 400 + 68 ____ 468
- \( 400 + 68 = 468 \)
- \( 468 = 468 \)
- Answer: \( 400 + 68 = 468 \)

13. 300 + 65 ____ 200 + 200
- \( 300 + 65 = 365 \)
- \( 200 + 200 = 400 \)
- \( 365 < 400 \)
- Answer: \( 300 + 65 < 200 + 200 \)

14. 400 + 29 ____ 500 + 15
- \( 400 + 29 = 429 \)
- \( 500 + 15 = 515 \)
- \( 429 < 515 \)
- Answer: \( 400 + 29 < 500 + 15 \)

15. 300 + 200 ____ 400 + 68
- \( 300 + 200 = 500 \)
- \( 400 + 68 = 468 \)
- \( 500 > 468 \)
- Answer: \( 300 + 200 > 400 + 68 \)

16. 200 + 82 ____ 200 + 75
- \( 200 + 82 = 282 \)
- \( 200 + 75 = 275 \)
- \( 282 > 275 \)
- Answer: \( 200 + 82 > 200 + 75 \)

17. 400 + 300 ____ 500 + 78
- \( 400 + 300 = 700 \)
- \( 500 + 78 = 578 \)
- \( 700 > 578 \)
- Answer: \( 400 + 300 > 500 + 78 \)

18. 300 + 17 ____ 317
- \( 300 + 17 = 317 \)
- \( 317 = 317 \)
- Answer: \( 300 + 17 = 317 \)

19. 400 + 67 ____ 300 + 25
- \( 400 + 67 = 467 \)
- \( 300 + 25 = 325 \)
- \( 467 > 325 \)
- Answer: \( 400 + 67 > 300 + 25 \)

20. 600 + 31 ____ 500 + 40
- \( 600 + 31 = 631 \)
- \( 500 + 40 = 540 \)
- \( 631 > 540 \)
- Answer: \( 600 + 31 > 500 + 40 \)

21. 264 ____ 200 + 46
- \( 200 + 46 = 246 \)
- \( 264 > 246 \)
- Answer: \( 264 > 200 + 46 \)

22. 300 + 63 ____ 100 + 300
- \( 300 + 63 = 363 \)
- \( 100 + 300 = 400 \)
- \( 363 < 400 \)
- Answer: \( 300 + 63 < 100 + 300 \)

23. 600 + 17 ____ 500 + 117
- \( 600 + 17 = 617 \)
- \( 500 + 117 = 617 \)
- \( 617 = 617 \)
- Answer: \( 600 + 17 = 500 + 117 \)

24. 300 + 156 ____ 400 + 60
- \( 300 + 156 = 456 \)
- \( 400 + 60 = 460 \)
- \( 456 < 460 \)
- Answer: \( 300 + 156 < 400 + 60 \)

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#### Part 2: Identifying Smallest and Largest Numbers in Each Row
For each row, we need to identify the smallest number (rectangle) and the largest number (circle).

##### Instructions:
- Compare all numbers in a row.
- Circle the largest number.
- Draw a rectangle around the smallest number.

##### Solutions for Each Row:

25. 562, 265, 652, 256, 625, 526, 660
- Smallest: 256
- Largest: 660
- Answer: Rectangle around 256, Circle around 660

26. 329, 903, 762, 287, 874, 495, 352
- Smallest: 287
- Largest: 903
- Answer: Rectangle around 287, Circle around 903

27. 437, 492, 415, 386, 367, 514, 488
- Smallest: 367
- Largest: 514
- Answer: Rectangle around 367, Circle around 514

28. 826, 738, 526, 463, 364, 427, 401
- Smallest: 364
- Largest: 826
- Answer: Rectangle around 364, Circle around 826

29. 219, 503, 358, 472, 271, 520, 480
- Smallest: 219
- Largest: 520
- Answer: Rectangle around 219, Circle around 520

30. 670, 607, 506, 617, 671, 176, 167
- Smallest: 167
- Largest: 671
- Answer: Rectangle around 167, Circle around 671

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Final Answers:

1. \( 128 < 100 + 34 \)
2. \( 365 > 300 + 28 \)
3. \( 400 + 36 < 460 \)
4. \( 100 + 72 < 180 \)
5. \( 397 > 200 + 100 \)
6. \( 600 + 72 < 700 \)
7. \( 700 + 27 < 810 \)
8. \( 900 + 46 = 946 \)
9. \( 684 > 600 + 48 \)
10. \( 563 > 300 + 200 \)
11. \( 705 > 600 + 98 \)
12. \( 400 + 68 = 468 \)
13. \( 300 + 65 < 200 + 200 \)
14. \( 400 + 29 < 500 + 15 \)
15. \( 300 + 200 > 400 + 68 \)
16. \( 200 + 82 > 200 + 75 \)
17. \( 400 + 300 > 500 + 78 \)
18. \( 300 + 17 = 317 \)
19. \( 400 + 67 > 300 + 25 \)
20. \( 600 + 31 > 500 + 40 \)
21. \( 264 > 200 + 46 \)
22. \( 300 + 63 < 100 + 300 \)
23. \( 600 + 17 = 500 + 117 \)
24. \( 300 + 156 < 400 + 60 \)

For rows 25–30:
- Row 25: Rectangle around 256, Circle around 660
- Row 26: Rectangle around 287, Circle around 903
- Row 27: Rectangle around 367, Circle around 514
- Row 28: Rectangle around 364, Circle around 826
- Row 29: Rectangle around 219, Circle around 520
- Row 30: Rectangle around 167, Circle around 671

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Final Answer Box:

\[
\boxed{
\begin{array}{l}
1. 128 < 100 + 34 \\
2. 365 > 300 + 28 \\
3. 400 + 36 < 460 \\
4. 100 + 72 < 180 \\
5. 397 > 200 + 100 \\
6. 600 + 72 < 700 \\
7. 700 + 27 < 810 \\
8. 900 + 46 = 946 \\
9. 684 > 600 + 48 \\
10. 563 > 300 + 200 \\
11. 705 > 600 + 98 \\
12. 400 + 68 = 468 \\
13. 300 + 65 < 200 + 200 \\
14. 400 + 29 < 500 + 15 \\
15. 300 + 200 > 400 + 68 \\
16. 200 + 82 > 200 + 75 \\
17. 400 + 300 > 500 + 78 \\
18. 300 + 17 = 317 \\
19. 400 + 67 > 300 + 25 \\
20. 600 + 31 > 500 + 40 \\
21. 264 > 200 + 46 \\
22. 300 + 63 < 100 + 300 \\
23. 600 + 17 = 500 + 117 \\
24. 300 + 156 < 400 + 60 \\
\text{Rows 25–30:} \\
\text{Row 25: Rectangle around 256, Circle around 660} \\
\text{Row 26: Rectangle around 287, Circle around 903} \\
\text{Row 27: Rectangle around 367, Circle around 514} \\
\text{Row 28: Rectangle around 364, Circle around 826} \\
\text{Row 29: Rectangle around 219, Circle around 520} \\
\text{Row 30: Rectangle around 167, Circle around 671}
\end{array}
}
\]