Comparing Numbers Using Place Value Chart Worksheet for Grade 1

Complete worksheet with exercises on comparing numbers using visual place value charts with step-by-step instructions.

Worksheet: Comparing Numbers Using Place Value Chart
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
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.

Comparison Method:
  1. Fill in the place value chart for each number
  2. Compare the tens digits first
  3. If tens are different, the number with more tens is larger
  4. If tens are the same, compare the ones digits
  5. Circle the correct comparison symbol
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!