Expanded Form Tens and Ones for Grade 1

Master expanded form tens and ones: place value understanding, step-by-step methods, and detailed solutions through these 5 exercises.

Expanded Form Tens and Ones

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
34 = 3 tens + 4 ones
→
34 = 30 + 4
→
Expanded Form
Worksheet: Exercises 1 to 3
1 Basic Expanded Form
Exercise 1
Write 27 in expanded form (tens and ones)
Definition:

Expanded Form: Writing a number as the sum of its place values (e.g., 27 = 20 + 7)

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 27, the tens digit is 2

2 tens = 2 × 10 = 20

Step 2: Identify the ones digit

In 27, the ones digit is 7

7 ones = 7

Step 3: Write in expanded form

27 = 20 + 7

Step 4: Verify

20 + 7 = 27 ✓

27 = 20 + 7
Final Answer:

27 = 20 + 7

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

2 Intermediate Expanded Form
Exercise 2
Write 54 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 54, the tens digit is 5

5 tens = 5 × 10 = 50

Step 2: Identify the ones digit

In 54, the ones digit is 4

4 ones = 4

Step 3: Write in expanded form

54 = 50 + 4

Step 4: Verify

50 + 4 = 54 ✓

54 = 50 + 4
Final Answer:

54 = 50 + 4

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
Exercise 3
Write 63 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 63, the tens digit is 6

6 tens = 6 × 10 = 60

Step 2: Identify the ones digit

In 63, the ones digit is 3

3 ones = 3

Step 3: Write in expanded form

63 = 60 + 3

Step 4: Verify

60 + 3 = 63 ✓

63 = 60 + 3
Final Answer:

63 = 60 + 3

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

Worksheet: Exercises 4 to 5
4 Advanced Expanded Form
Exercise 4
Write 82 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 82, the tens digit is 8

8 tens = 8 × 10 = 80

Step 2: Identify the ones digit

In 82, the ones digit is 2

2 ones = 2

Step 3: Write in expanded form

82 = 80 + 2

Step 4: Verify

80 + 2 = 82 ✓

82 = 80 + 2
Final Answer:

82 = 80 + 2

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

5 Challenge Problem
Exercise 5
Write 95 in expanded form (tens and ones)
Step 1: Identify the tens digit

In 95, the tens digit is 9

9 tens = 9 × 10 = 90

Step 2: Identify the ones digit

In 95, the ones digit is 5

5 ones = 5

Step 3: Write in expanded form

95 = 90 + 5

Step 4: Verify

90 + 5 = 95 ✓

95 = 90 + 5
Final Answer:

95 = 90 + 5

Applied Rules:

• Place Value: Tens digit × 10 = tens value

• Expanded Form: Number = tens + ones

• Verification: Adding parts gives original number

Comprehensive Summary: Expanded Form Tens and Ones

Complete Guide to Expanded Form Tens and Ones

This summary provides a comprehensive overview of expanded form tens and ones, 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: Why do we need to learn expanded form? Why can't we just write numbers normally?

Answer: Expanded form helps you understand what numbers really mean! When you write 34 as 30 + 4, you see that it's made of 3 tens (30) and 4 ones (4). This understanding makes addition, subtraction, and other operations much easier later. It's like learning the alphabet before reading words - expanded form teaches you how numbers are built!

Question: How do I know which digit is the tens and which is the ones?

Answer: Look at the number from right to left. The rightmost digit is always the ones place. The next digit to the left is the tens place. For example, in 57: 7 is in the ones place (on the right), and 5 is in the tens place (one position to the left of the ones). Think of it as: "Ones on the right, tens to the left!"

Question: How can I check if I wrote the expanded form correctly?

Answer: The easiest way to check your expanded form is to add the parts together! If you wrote 46 as 40 + 6, add 40 + 6 to see if you get 46. If the sum equals the original number, you did it correctly! This verification step helps catch any mistakes and builds confidence in your work.