Math worksheet answer key for comparing numbers up to 100, with solutions to 20 exercises.
Answer key for "Comparing Numbers to 100" math worksheet, showing solutions to 20 problems involving addition, subtraction, and comparison symbols.
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Step-by-step solution for: Greater than Less than Worksheet - Comparing Numbers to 100
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Show Answer Key & Explanations
Step-by-step solution for: Greater than Less than Worksheet - Comparing Numbers to 100
The task involves comparing numbers and determining whether one number is greater than, less than, or equal to another. The worksheet provides a series of problems where you need to evaluate expressions and compare the results using the symbols \( > \), \( < \), or \( = \).
#### Step 1: Evaluate each expression
For each problem, first calculate the value of the left-hand side (LHS) and the right-hand side (RHS) of the comparison.
#### Step 2: Compare the values
After evaluating both sides, compare the results:
- Use \( > \) if the LHS is greater than the RHS.
- Use \( < \) if the LHS is less than the RHS.
- Use \( = \) if the LHS is equal to the RHS.
#### Step 3: Write the correct symbol
Write the appropriate symbol (\( > \), \( < \), or \( = \)) in the blank space provided.
---
#### Problems 1–10:
1. \( 3 + 5 \quad ? \quad 8 \)
- LHS: \( 3 + 5 = 8 \)
- RHS: \( 8 \)
- Comparison: \( 8 = 8 \)
- Answer: \( = \)
2. \( 9 - 1 \quad ? \quad 6 \)
- LHS: \( 9 - 1 = 8 \)
- RHS: \( 6 \)
- Comparison: \( 8 > 6 \)
- Answer: \( > \)
3. \( 26 \quad ? \quad 62 \)
- LHS: \( 26 \)
- RHS: \( 62 \)
- Comparison: \( 26 < 62 \)
- Answer: \( < \)
4. \( 5 - 2 \quad ? \quad 1 \)
- LHS: \( 5 - 2 = 3 \)
- RHS: \( 1 \)
- Comparison: \( 3 > 1 \)
- Answer: \( > \)
5. \( 3 + 3 \quad ? \quad 10 \)
- LHS: \( 3 + 3 = 6 \)
- RHS: \( 10 \)
- Comparison: \( 6 < 10 \)
- Answer: \( < \)
6. \( 8 - 2 \quad ? \quad 5 \)
- LHS: \( 8 - 2 = 6 \)
- RHS: \( 5 \)
- Comparison: \( 6 > 5 \)
- Answer: \( > \)
7. \( 27 \quad ? \quad 22 \)
- LHS: \( 27 \)
- RHS: \( 22 \)
- Comparison: \( 27 > 22 \)
- Answer: \( > \)
8. \( 36 \quad ? \quad 29 \)
- LHS: \( 36 \)
- RHS: \( 29 \)
- Comparison: \( 36 > 29 \)
- Answer: \( > \)
9. \( 3 + 4 \quad ? \quad 7 \)
- LHS: \( 3 + 4 = 7 \)
- RHS: \( 7 \)
- Comparison: \( 7 = 7 \)
- Answer: \( = \)
10. \( 7 - 1 \quad ? \quad 8 \)
- LHS: \( 7 - 1 = 6 \)
- RHS: \( 8 \)
- Comparison: \( 6 < 8 \)
- Answer: \( < \)
---
#### Problems 11–20:
11. \( 5 \quad ? \quad 6 - 3 \)
- LHS: \( 5 \)
- RHS: \( 6 - 3 = 3 \)
- Comparison: \( 5 > 3 \)
- Answer: \( > \)
12. \( 2 \quad ? \quad 4 - 2 \)
- LHS: \( 2 \)
- RHS: \( 4 - 2 = 2 \)
- Comparison: \( 2 = 2 \)
- Answer: \( = \)
13. \( 7 \quad ? \quad 4 + 4 \)
- LHS: \( 7 \)
- RHS: \( 4 + 4 = 8 \)
- Comparison: \( 7 < 8 \)
- Answer: \( < \)
14. \( 62 \quad ? \quad 59 \)
- LHS: \( 62 \)
- RHS: \( 59 \)
- Comparison: \( 62 > 59 \)
- Answer: \( > \)
15. \( 56 \quad ? \quad 58 \)
- LHS: \( 56 \)
- RHS: \( 58 \)
- Comparison: \( 56 < 58 \)
- Answer: \( < \)
16. \( 3 \quad ? \quad 5 - 4 \)
- LHS: \( 3 \)
- RHS: \( 5 - 4 = 1 \)
- Comparison: \( 3 > 1 \)
- Answer: \( > \)
17. \( 6 \quad ? \quad 8 - 2 \)
- LHS: \( 6 \)
- RHS: \( 8 - 2 = 6 \)
- Comparison: \( 6 = 6 \)
- Answer: \( = \)
18. \( 5 \quad ? \quad 9 - 1 \)
- LHS: \( 5 \)
- RHS: \( 9 - 1 = 8 \)
- Comparison: \( 5 < 8 \)
- Answer: \( < \)
19. \( 30 \quad ? \quad 20 + 3 \)
- LHS: \( 30 \)
- RHS: \( 20 + 3 = 23 \)
- Comparison: \( 30 > 23 \)
- Answer: \( > \)
20. \( 11 \quad ? \quad 5 + 6 \)
- LHS: \( 11 \)
- RHS: \( 5 + 6 = 11 \)
- Comparison: \( 11 = 11 \)
- Answer: \( = \)
---
\[
\boxed{
\begin{array}{ll}
1) & = \\
2) & > \\
3) & < \\
4) & > \\
5) & < \\
6) & > \\
7) & > \\
8) & > \\
9) & = \\
10) & < \\
11) & > \\
12) & = \\
13) & < \\
14) & > \\
15) & < \\
16) & > \\
17) & = \\
18) & < \\
19) & > \\
20) & =
\end{array}
}
\]
Solution Explanation:
#### Step 1: Evaluate each expression
For each problem, first calculate the value of the left-hand side (LHS) and the right-hand side (RHS) of the comparison.
#### Step 2: Compare the values
After evaluating both sides, compare the results:
- Use \( > \) if the LHS is greater than the RHS.
- Use \( < \) if the LHS is less than the RHS.
- Use \( = \) if the LHS is equal to the RHS.
#### Step 3: Write the correct symbol
Write the appropriate symbol (\( > \), \( < \), or \( = \)) in the blank space provided.
---
Detailed Solutions:
#### Problems 1–10:
1. \( 3 + 5 \quad ? \quad 8 \)
- LHS: \( 3 + 5 = 8 \)
- RHS: \( 8 \)
- Comparison: \( 8 = 8 \)
- Answer: \( = \)
2. \( 9 - 1 \quad ? \quad 6 \)
- LHS: \( 9 - 1 = 8 \)
- RHS: \( 6 \)
- Comparison: \( 8 > 6 \)
- Answer: \( > \)
3. \( 26 \quad ? \quad 62 \)
- LHS: \( 26 \)
- RHS: \( 62 \)
- Comparison: \( 26 < 62 \)
- Answer: \( < \)
4. \( 5 - 2 \quad ? \quad 1 \)
- LHS: \( 5 - 2 = 3 \)
- RHS: \( 1 \)
- Comparison: \( 3 > 1 \)
- Answer: \( > \)
5. \( 3 + 3 \quad ? \quad 10 \)
- LHS: \( 3 + 3 = 6 \)
- RHS: \( 10 \)
- Comparison: \( 6 < 10 \)
- Answer: \( < \)
6. \( 8 - 2 \quad ? \quad 5 \)
- LHS: \( 8 - 2 = 6 \)
- RHS: \( 5 \)
- Comparison: \( 6 > 5 \)
- Answer: \( > \)
7. \( 27 \quad ? \quad 22 \)
- LHS: \( 27 \)
- RHS: \( 22 \)
- Comparison: \( 27 > 22 \)
- Answer: \( > \)
8. \( 36 \quad ? \quad 29 \)
- LHS: \( 36 \)
- RHS: \( 29 \)
- Comparison: \( 36 > 29 \)
- Answer: \( > \)
9. \( 3 + 4 \quad ? \quad 7 \)
- LHS: \( 3 + 4 = 7 \)
- RHS: \( 7 \)
- Comparison: \( 7 = 7 \)
- Answer: \( = \)
10. \( 7 - 1 \quad ? \quad 8 \)
- LHS: \( 7 - 1 = 6 \)
- RHS: \( 8 \)
- Comparison: \( 6 < 8 \)
- Answer: \( < \)
---
#### Problems 11–20:
11. \( 5 \quad ? \quad 6 - 3 \)
- LHS: \( 5 \)
- RHS: \( 6 - 3 = 3 \)
- Comparison: \( 5 > 3 \)
- Answer: \( > \)
12. \( 2 \quad ? \quad 4 - 2 \)
- LHS: \( 2 \)
- RHS: \( 4 - 2 = 2 \)
- Comparison: \( 2 = 2 \)
- Answer: \( = \)
13. \( 7 \quad ? \quad 4 + 4 \)
- LHS: \( 7 \)
- RHS: \( 4 + 4 = 8 \)
- Comparison: \( 7 < 8 \)
- Answer: \( < \)
14. \( 62 \quad ? \quad 59 \)
- LHS: \( 62 \)
- RHS: \( 59 \)
- Comparison: \( 62 > 59 \)
- Answer: \( > \)
15. \( 56 \quad ? \quad 58 \)
- LHS: \( 56 \)
- RHS: \( 58 \)
- Comparison: \( 56 < 58 \)
- Answer: \( < \)
16. \( 3 \quad ? \quad 5 - 4 \)
- LHS: \( 3 \)
- RHS: \( 5 - 4 = 1 \)
- Comparison: \( 3 > 1 \)
- Answer: \( > \)
17. \( 6 \quad ? \quad 8 - 2 \)
- LHS: \( 6 \)
- RHS: \( 8 - 2 = 6 \)
- Comparison: \( 6 = 6 \)
- Answer: \( = \)
18. \( 5 \quad ? \quad 9 - 1 \)
- LHS: \( 5 \)
- RHS: \( 9 - 1 = 8 \)
- Comparison: \( 5 < 8 \)
- Answer: \( < \)
19. \( 30 \quad ? \quad 20 + 3 \)
- LHS: \( 30 \)
- RHS: \( 20 + 3 = 23 \)
- Comparison: \( 30 > 23 \)
- Answer: \( > \)
20. \( 11 \quad ? \quad 5 + 6 \)
- LHS: \( 11 \)
- RHS: \( 5 + 6 = 11 \)
- Comparison: \( 11 = 11 \)
- Answer: \( = \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1) & = \\
2) & > \\
3) & < \\
4) & > \\
5) & < \\
6) & > \\
7) & > \\
8) & > \\
9) & = \\
10) & < \\
11) & > \\
12) & = \\
13) & < \\
14) & > \\
15) & < \\
16) & > \\
17) & = \\
18) & < \\
19) & > \\
20) & =
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of less than greater than worksheet.