Expanded Form Worksheets for Class 2

Class 2 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:

Identify the tens digit and multiply by 10
Identify the ones digit
Write as a sum of tens and ones
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

Class 2 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 Worksheets for Class 2

Complete Guide to Expanded Form Worksheets for Class 2

This summary provides a comprehensive overview of expanded form concepts for class 2, covering all essential concepts, methods, and practice strategies.

Key Definitions

Place Value: The value of a digit based on its position in a number
Hundreds Place: The third digit from the right; represents groups of 100
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., 345 = 300 + 40 + 5)
Standard Form: The normal way we write numbers (e.g., 345)

Core Rules & Principles

Place Value Rule: Each position has a specific value (ones, tens, hundreds, etc.)
Hundreds Rule: Hundreds digit × 100 = hundreds value
Tens Rule: Tens digit × 10 = tens value
Ones Rule: Ones digit × 1 = ones value
Expanded Form Rule: Number = hundreds + tens + ones
Verification Rule: Adding expanded parts equals the original number

Step-by-Step Method

Identify Hundreds Digit: Look at the third digit from the right
Calculate Hundreds Value: Multiply hundreds digit by 100
Identify Tens Digit: Look at the second digit from the right
Calculate Tens Value: Multiply tens digit by 10
Identify Ones Digit: Look at the rightmost digit
Calculate Ones Value: Ones digit × 1 = ones value
Write Expanded Form: Number = hundreds + tens + ones
Verify: Add all parts 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: Hundreds are third from right, tens are second from right
Multiplication Shortcut: Just add two zeros to hundreds digit (e.g., 3 → 300)
Visual Aid: Use base-10 blocks to see hundreds, tens, and ones physically
Count by Hundreds: Practice counting by 100s to understand hundreds place
Verification Habit: Always add parts to check your answer

Common Pitfalls

Position Confusion: Mixing up hundreds, tens, and ones places
Multiplication Error: Forgetting to multiply hundreds digit by 100
Zero Mistake: Forgetting to add zeros when writing hundreds/tens value
Verification Neglect: Not checking if expanded form adds to original
Single Digit Confusion: Thinking single digits have hundreds or tens

Memory Aids

"Right to Left": Ones on the right, tens to the left, hundreds to the left
"Hundreds Times Hundred": Hundreds digit × 100
"Tens Times Ten": Tens digit × 10
"Ones Stay Alone": Ones digit × 1
"Add to Check": Always add parts to verify
"Groups of Hundred": Hundreds represent how many groups of 100

Key Takeaways

Understanding place value is fundamental to all math operations
Expanded form shows the actual value of each digit
Every three-digit number can be broken into hundreds, tens, and ones
Verification builds confidence and prevents errors
Practice with various numbers strengthens place value understanding