Comparing Numbers Using Place Value Worksheets for Grade 1

Complete collection of worksheets on comparing numbers using place value concepts with step-by-step instructions and examples.

Worksheet: Comparing Numbers Using Place Value
1 Worksheet Instructions
WORKSHEET INSTRUCTIONS

Directions: Use the place value chart to compare numbers. Fill in the tens and ones, then circle the correct symbol.

Remember: Always compare tens first, then ones if needed.

1
Read Numbers
2
Fill Charts
3
Compare Tens
4
Compare Ones
5
Circle Symbol
HOW TO USE THE WORKSHEETS:
• Complete one problem at a time
• Fill in all place value boxes
• Check your work before moving to the next problem
• Ask for help if you're stuck
Key Definitions:

Place Value Chart: A table that organizes digits by their place value positions (tens, ones).

Compare: To determine if one number is greater than, less than, or equal to another.

Greater Than (>): Symbol indicating one number is larger than another.

Less Than (<): Symbol indicating one number is smaller than another.

Equal (=): Symbol indicating two numbers have the same value.

2 Important Reminders
Core Rules:

• Always compare from left to right: Check tens before ones

• The symbol opens toward the larger number: Think of it as a hungry mouth

• Fill in all boxes: Complete each place value chart

• Check your work: Make sure your answer makes sense

Tip 1: If tens are different, you don't need to look at ones.
Tip 2: Use the place value chart to organize your thinking.
Tip 3: Count the tens and ones carefully before comparing.
Worksheet Learning Summary
Comparison = (Tens × 10) + Ones
Place Value Formula
Core Concepts and Keywords:

Place Value Chart: A visual tool that separates digits into their respective place value positions.

Comparison: The process of determining the relationship between two numbers using symbols.

Tens Place: The position that represents groups of 10 (leftmost position in two-digit numbers).

Ones Place: The position that represents individual units (rightmost position).

Greater Than (>): Symbol showing one number is larger than another.

Less Than (<): Symbol showing one number is smaller than another.

Equal (=): Symbol showing two numbers have the same value.

Worksheet Practice: Structured exercises for reinforcing mathematical concepts.

Core Rules and Principles:

• Left-to-Right Rule: Always compare digits starting from the leftmost (highest) place value.

• Tens Priority: When comparing two-digit numbers, check the tens place first.

• Ones Fallback: Only compare ones if the tens digits are identical.

• Symbol Direction: The comparison symbol always opens toward the larger number.

• Visual Organization: Place value charts help organize digits for easier comparison.

Step-by-Step Method:
  1. Step 1: Read the two numbers to compare
  2. Step 2: Fill in the place value chart for each number
  3. Step 3: Compare the tens digits (leftmost column)
  4. Step 4: If tens are different, the number with more tens is larger
  5. Step 5: If tens are the same, compare the ones digits
  6. Step 6: Circle the appropriate comparison symbol
  7. Step 7: Check your answer to ensure it makes sense
Tip 1: Use place value charts to organize numbers visually before comparing.
Tip 2: Always compare tens first, then ones if needed.
Tip 3: Remember: the symbol "mouth" opens toward the bigger number.
Tip 4: Double-check that you filled in all place value boxes correctly.
Common Mistakes: Comparing ones before tens, confusing comparison symbols, misreading place value charts.
Memory Aid: "Tens come first, then ones" - like reading from left to right.
If Tens(A) ≠ Tens(B), compare Tens(A) vs Tens(B)
When Tens Differ
If Tens(A) = Tens(B), then compare Ones(A) vs Ones(B)
When Tens Are Equal
Worksheet Practice Problems
3 Practice Problems
Problem 1
Compare 24 and 31
Problem 2
Compare 45 and 42
Problem 3
Compare 18 and 18
Problem 4
Compare 37 and 29
Tens
Ones
2
4
Number: 24
?
Tens
Ones
3
1
Number: 31
Step 1: Compare Tens Place

2 (from 24) vs 3 (from 31)

Since 3 > 2, then 31 > 24

Answer: 24 < 31
4 More Practice Problems
Tens
Ones
4
5
Number: 45
?
Tens
Ones
4
2
Number: 42
Step 1: Compare Tens Place

4 (from 45) vs 4 (from 42)

Tens are equal, so compare ones

Step 2: Compare Ones Place

5 (from 45) vs 2 (from 42)

Since 5 > 2, then 45 > 42

Answer: 45 > 42
5 Equal Numbers Practice
Tens
Ones
1
8
Number: 18
?
Tens
Ones
1
8
Number: 18
Step 1: Compare Tens Place

1 (from first 18) vs 1 (from second 18)

Tens are equal

Step 2: Compare Ones Place

8 (from first 18) vs 8 (from second 18)

Ones are equal

Step 3: Conclusion

Both numbers are the same

Answer: 18 = 18

Questions & Answers

Question: Why do I need to fill in the place value chart? Can't I just look at the numbers?

Answer: Place value charts are helpful because they:

  • Organize digits clearly: They separate tens from ones so you can see each place value
  • Make comparison easier: You can line up digits in the same place value positions
  • Reduce confusion: It's harder to mix up tens and ones when they're in separate columns
  • Build understanding: They help you see that 23 means 2 tens and 3 ones

Think of place value charts like a map - they help you navigate and understand the numbers better!

Question: How can I help my child practice place value chart comparison at home?

Answer: Here are some fun home activities:

  1. Draw place value charts: Use paper and pencil to create charts together
  2. Use household items: Group items like pasta, beans, or buttons into tens and ones
  3. Play comparison games: Roll dice to create two-digit numbers and compare them
  4. Practice with real numbers: Compare house numbers, ages, or prices
  5. Make it visual: Draw tens as long rectangles and ones as small squares

Keep practice sessions short (10-15 minutes) and positive to maintain interest!

Question: What if I have 50 and 49? Which is bigger?

Answer: Let's compare 50 and 49 using place value:

  1. Step 1: Look at the tens place: 5 (from 50) vs 4 (from 49)
  2. Step 2: Since 5 > 4, we don't need to look at the ones place
  3. Step 3: Therefore, 50 > 49

Even though 50 has 0 ones and 49 has 9 ones, the tens place determines which is bigger. 5 tens (50) is more than 4 tens (40), so 50 is the larger number!

Remember: Always check the tens place first when comparing two-digit numbers!