Math worksheet for comparing numbers and equations, designed for elementary students.

Problem Overview:

The worksheet involves comparing numbers using the symbols <, >, or =. The tasks are divided into three sections:

1. Comparing two-digit and three-digit numbers.
2. Comparing sums of numbers.
3. Comparing more complex expressions involving addition.

We will solve each section step by step.

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Section 1: Comparing Numbers

Compare each set of numbers using <, >, or =.

#### Rows:
1. 425 ☐ 421, 871 ☐ 869, 346 ☐ 364
- 425 > 421: Both numbers have the same hundreds and tens digits, but 425 has a larger ones digit (5 > 1).
- 871 > 869: Both numbers have the same hundreds digit, but 871 has a larger tens digit (7 > 6).
- 346 < 364: Both numbers have the same hundreds digit, but 346 has a smaller tens digit (4 < 6).

Answer: 425 > 421, 871 > 869, 346 < 364

2. 868 ☐ 887, 433 ☐ 543, 2641 ☐ 624
- 868 < 887: Both numbers have the same hundreds digit, but 868 has a smaller tens digit (6 < 8).
- 433 < 543: The hundreds digit of 433 is smaller than that of 543 (4 < 5).
- 2641 > 624: 2641 is a four-digit number, while 624 is a three-digit number. Four-digit numbers are always larger.

Answer: 868 < 887, 433 < 543, 2641 > 624

3. 502 ☐ 502, 745 ☐ 745, 964 ☐ 964
- All pairs are identical numbers.
- 502 = 502, 745 = 745, 964 = 964

Answer: 502 = 502, 745 = 745, 964 = 964

4. 989 ☐ 979, 342 ☐ 282, 818 ☐ 668
- 989 > 979: Both numbers have the same hundreds digit, but 989 has a larger tens digit (8 > 7).
- 342 > 282: The hundreds digit of 342 is larger than that of 282 (3 > 2).
- 818 > 668: The hundreds digit of 818 is larger than that of 668 (8 > 6).

Answer: 989 > 979, 342 > 282, 818 > 668

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Section 2: Comparing Sums

Compare each set of sums using <, >, or =.

#### Rows:
1. 3 + 7 ☐ 5 + 4, 4 + 4 ☐ 10 - 2
- 3 + 7 = 10 and 5 + 4 = 9 → 10 > 9
- 4 + 4 = 8 and 10 - 2 = 8 → 8 = 8

Answer: 3 + 7 > 5 + 4, 4 + 4 = 10 - 2

2. 4 + 6 ☐ 5 + 5, 5 + 8 ☐ 6 + 6
- 4 + 6 = 10 and 5 + 5 = 10 → 10 = 10
- 5 + 8 = 13 and 6 + 6 = 12 → 13 > 12

Answer: 4 + 6 = 5 + 5, 5 + 8 > 6 + 6

3. 2 + 5 ☐ 12 - 6, 8 + 7 ☐ 10 + 5
- 2 + 5 = 7 and 12 - 6 = 6 → 7 > 6
- 8 + 7 = 15 and 10 + 5 = 15 → 15 = 15

Answer: 2 + 5 > 12 - 6, 8 + 7 = 10 + 5

4. 7 + 7 ☐ 5 + 9, 9 + 9 ☐ 8 + 8
- 7 + 7 = 14 and 5 + 9 = 14 → 14 = 14
- 9 + 9 = 18 and 8 + 8 = 16 → 18 > 16

Answer: 7 + 7 = 5 + 9, 9 + 9 > 8 + 8

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Section 3: Comparing Complex Expressions

Compare each set of expressions using <, >, or =.

#### Rows:
1. 500 + 50 + 9 ☐ 500 + 90 + 5
- Simplify both sides:
- Left side: 500 + 50 + 9 = 559
- Right side: 500 + 90 + 5 = 595
- Compare: 559 < 595

Answer: 500 + 50 + 9 < 500 + 90 + 5

2. 400 + 40 + 4 ☐ 800 + 20 + 1
- Simplify both sides:
- Left side: 400 + 40 + 4 = 444
- Right side: 800 + 20 + 1 = 821
- Compare: 444 < 821

Answer: 400 + 40 + 4 < 800 + 20 + 1

3. 600 + 30 + 7 ☐ 600 + 30 + 7
- Both sides are identical:
- Left side: 600 + 30 + 7 = 637
- Right side: 600 + 30 + 7 = 637
- Compare: 637 = 637

Answer: 600 + 30 + 7 = 600 + 30 + 7

4. 300 + 90 + 8 ☐ 300 + 80 + 9
- Simplify both sides:
- Left side: 300 + 90 + 8 = 398
- Right side: 300 + 80 + 9 = 389
- Compare: 398 > 389

Answer: 300 + 90 + 8 > 300 + 80 + 9

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Final Answer:

Combining all the answers from the three sections:

1. Section 1:
- 425 > 421, 871 > 869, 346 < 364
- 868 < 887, 433 < 543, 2641 > 624
- 502 = 502, 745 = 745, 964 = 964
- 989 > 979, 342 > 282, 818 > 668

2. Section 2:
- 3 + 7 > 5 + 4, 4 + 4 = 10 - 2
- 4 + 6 = 5 + 5, 5 + 8 > 6 + 6
- 2 + 5 > 12 - 6, 8 + 7 = 10 + 5
- 7 + 7 = 5 + 9, 9 + 9 > 8 + 8

3. Section 3:
- 500 + 50 + 9 < 500 + 90 + 5
- 400 + 40 + 4 < 800 + 20 + 1
- 600 + 30 + 7 = 600 + 30 + 7
- 300 + 90 + 8 > 300 + 80 + 9

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Section 1:} \\
425 > 421, \, 871 > 869, \, 346 < 364 \\
868 < 887, \, 433 < 543, \, 2641 > 624 \\
502 = 502, \, 745 = 745, \, 964 = 964 \\
989 > 979, \, 342 > 282, \, 818 > 668 \\
\\
\text{Section 2:} \\
3 + 7 > 5 + 4, \, 4 + 4 = 10 - 2 \\
4 + 6 = 5 + 5, \, 5 + 8 > 6 + 6 \\
2 + 5 > 12 - 6, \, 8 + 7 = 10 + 5 \\
7 + 7 = 5 + 9, \, 9 + 9 > 8 + 8 \\
\\
\text{Section 3:} \\
500 + 50 + 9 < 500 + 90 + 5 \\
400 + 40 + 4 < 800 + 20 + 1 \\
600 + 30 + 7 = 600 + 30 + 7 \\
300 + 90 + 8 > 300 + 80 + 9 \\
\end{array}
}
\]