Expanded Form Worksheet for Grade 1

Complete expanded form worksheet: place value understanding, step-by-step methods, and detailed solutions through these 5 exercises.

Expanded Form Worksheet - Grade 1

Instructions: Write each number in expanded form (tens and ones). Show your work for full credit. Time: 30 minutes

Expanded Form Worksheet Preparation

Visual Guide to Understanding Place Value

🔟
Tens Place
Groups of 10
1️⃣
Ones Place
Individual units
📝
Expanded Form
Break numbers into parts
➕
Addition
Combine the parts
1
Identify Tens
2
Identify Ones
3
Write as Sum
4
Verify Total
46 = 4 tens + 6 ones
→
46 = 40 + 6
→
Expanded Form
Worksheet: Problems 1 to 3
1 Basic Expanded Form
Problem 1
Write 28 in expanded form (tens and ones)
Definition:

Expanded Form: Writing a number as the sum of its place values (e.g., 28 = 20 + 8)

Expanded Form Method:
  1. Identify the tens digit and multiply by 10
  2. Identify the ones digit
  3. Write as a sum of tens and ones
  4. Verify by adding to get original number
Step 1: Identify the tens digit

In 28, the tens digit is 2

2 tens = 2 × 10 = 20

Step 2: Identify the ones digit

In 28, the ones digit is 8

8 ones = 8

Step 3: Write in expanded form

28 = 20 + 8

Step 4: Verify

20 + 8 = 28 ✓

28 = 20 + 8
Final Answer:

28 = 20 + 8

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

2 Intermediate Expanded Form
Problem 2
Write 53 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 53, the tens digit is 5

5 tens = 5 × 10 = 50

Step 2: Identify the ones digit

In 53, the ones digit is 3

3 ones = 3

Step 3: Write in expanded form

53 = 50 + 3

Step 4: Verify

50 + 3 = 53 ✓

53 = 50 + 3
Final Answer:

53 = 50 + 3

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

3 Practice with Expanded Form
Problem 3
Write 74 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 74, the tens digit is 7

7 tens = 7 × 10 = 70

Step 2: Identify the ones digit

In 74, the ones digit is 4

4 ones = 4

Step 3: Write in expanded form

74 = 70 + 4

Step 4: Verify

70 + 4 = 74 ✓

74 = 70 + 4
Final Answer:

74 = 70 + 4

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

Worksheet: Problems 4 to 5
4 Advanced Expanded Form
Problem 4
Write 89 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 89, the tens digit is 8

8 tens = 8 × 10 = 80

Step 2: Identify the ones digit

In 89, the ones digit is 9

9 ones = 9

Step 3: Write in expanded form

89 = 80 + 9

Step 4: Verify

80 + 9 = 89 ✓

89 = 80 + 9
Final Answer:

89 = 80 + 9

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

5 Challenge Problem
Problem 5
Write 96 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 96, the tens digit is 9

9 tens = 9 × 10 = 90

Step 2: Identify the ones digit

In 96, the ones digit is 6

6 ones = 6

Step 3: Write in expanded form

96 = 90 + 6

Step 4: Verify

90 + 6 = 96 ✓

96 = 90 + 6
Final Answer:

96 = 90 + 6

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

Comprehensive Summary: Expanded Form Worksheet

Complete Guide to Expanded Form Worksheet

This summary provides a comprehensive overview of expanded form concepts for the worksheet, covering all essential concepts, methods, and practice strategies.

Key Definitions
  • Place Value: The value of a digit based on its position in a number
  • Tens Place: The second digit from the right; represents groups of 10
  • Ones Place: The rightmost digit; represents individual units
  • Expanded Form: Writing a number as the sum of its place values (e.g., 45 = 40 + 5)
  • Standard Form: The normal way we write numbers (e.g., 45)
  • Digit: Any of the numerals 0-9 used to form numbers
Core Rules & Principles
  • Place Value Rule: Each position has a specific value (ones, tens, hundreds, etc.)
  • Tens Rule: Tens digit × 10 = tens value
  • Ones Rule: Ones digit × 1 = ones value
  • Expanded Form Rule: Number = tens value + ones value
  • Verification Rule: Adding expanded parts equals the original number
Step-by-Step Method
  1. Identify Tens Digit: Look at the second digit from the right
  2. Calculate Tens Value: Multiply tens digit by 10
  3. Identify Ones Digit: Look at the rightmost digit
  4. Calculate Ones Value: Ones digit × 1 = ones value
  5. Write Expanded Form: Number = tens value + ones value
  6. Verify: Add tens and ones to confirm original number
Examples & Practice

Simple Examples:

15 = 10 + 5 (1 ten + 5 ones)

23 = 20 + 3 (2 tens + 3 ones)

Intermediate Examples:

47 = 40 + 7 (4 tens + 7 ones)

61 = 60 + 1 (6 tens + 1 one)

Advanced Examples:

89 = 80 + 9 (8 tens + 9 ones)

94 = 90 + 4 (9 tens + 4 ones)

Tips & Tricks
  • Position Recognition: Tens are always the second digit from the right
  • Multiplication Shortcut: Just add a zero to the tens digit (e.g., 3 → 30)
  • Visual Aid: Use base-10 blocks to see tens and ones physically
  • Count by Tens: Practice counting by 10s to understand tens place
  • Verification Habit: Always add parts to check your answer
Common Pitfalls
  • Position Confusion: Mixing up tens and ones places
  • Multiplication Error: Forgetting to multiply tens digit by 10
  • Zero Mistake: Forgetting to add a zero when writing tens value
  • Verification Neglect: Not checking if expanded form adds to original
  • Single Digit Confusion: Thinking single digits have tens
Memory Aids
  • "Right to Left": Ones on the right, tens to the left
  • "Tens Times Ten": Tens digit × 10
  • "Ones Stay Alone": Ones digit × 1
  • "Add to Check": Always add parts to verify
  • "Groups of Ten": Tens represent how many groups of 10
Key Takeaways
  • Understanding place value is fundamental to all math operations
  • Expanded form shows the actual value of each digit
  • Every two-digit number can be broken into tens and ones
  • Verification builds confidence and prevents errors
  • Practice with various numbers strengthens place value understanding

Questions & Answers

Question: I'm nervous about the worksheet. How can I prepare for expanded form problems?

Answer: Don't worry! Here's how to prepare: 1) Practice identifying tens and ones in different numbers. 2) Remember that the tens digit gets multiplied by 10. 3) Always add your expanded form parts to check if they equal the original number. 4) Use base-10 blocks or drawings to visualize the numbers. 5) Practice with numbers 10-99 to build confidence. Remember, every two-digit number follows the same pattern: tens + ones!

Question: What should I do if I forget which digit is tens and which is ones?

Answer: Remember this helpful trick: "Ones are on the right, tens are to the left!" Start from the right side of the number and move left. The rightmost digit is always the ones place. The next digit to the left is the tens place. For example, in 74: 4 is on the right (ones), and 7 is to the left of 4 (tens). You can also think of it as: the last digit you see when reading left-to-right is the ones place.

Question: How do I know if I got the expanded form right during the worksheet?

Answer: Always use the verification method! After you write the expanded form, add the tens and ones together. If the sum equals the original number, you're correct! For example, if you write 63 = 60 + 3, add 60 + 3 = 63. Since this matches the original number (63), your answer is correct. This quick check helps catch mistakes and builds confidence during the worksheet.