Expanded Form with Answers for Grade 1

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

Expanded Form with Answers

Visual Guide to Understanding Place Value Solutions

🔟
Tens Place
Groups of 10
1️⃣
Ones Place
Individual units
📝
Expanded Form
Break numbers into parts
✅
Correct Answers
Detailed solutions
1
Identify Tens
2
Identify Ones
3
Write as Sum
4
Verify Answer
47 = 40 + 7
→
Answer: 40 + 7 = 47
✓
Worksheet: Exercises 1 to 3 with Answers
1 Basic Expanded Form
Exercise 1
Write 28 in expanded form and verify the answer
Definition:

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

Solution 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 the answer

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
Exercise 2
Write 53 in expanded form and verify the answer
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 the answer

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
Exercise 3
Write 74 in expanded form and verify the answer
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 the answer

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: Exercises 4 to 5 with Answers
4 Advanced Expanded Form
Exercise 4
Write 89 in expanded form and verify the answer
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 the answer

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
Exercise 5
Write 96 in expanded form and verify the answer
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 the answer

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 with Answers

Complete Guide to Expanded Form with Answers

This summary provides a comprehensive overview of expanded form concepts with detailed answers, 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 verify our answers in expanded form? Isn't that extra work?

Answer: Verifying your answers is actually a smart shortcut that saves time in the long run! When you add your expanded parts together and get the original number, you know your answer is correct. This prevents mistakes and builds confidence. It's like double-checking your work - it takes a few seconds but helps you catch errors before they become problems. Plus, it reinforces the connection between expanded and standard form.

Question: What should I do if my verification doesn't match the original number?

Answer: If your verification doesn't match, that's okay! It means you found an error before turning in your work. Go back and check each step: 1) Did you identify the correct tens digit? 2) Did you multiply by 10 correctly? 3) Did you identify the correct ones digit? 4) Did you write the addition correctly? Finding mistakes is part of learning, and catching them early makes you a better mathematician!

Question: How can I practice expanded form with answers on my own?

Answer: Here are some great ways to practice: 1) Pick random two-digit numbers and write them in expanded form. 2) Use dice or playing cards to generate numbers. 3) Write the expanded form, then add to verify your answer. 4) Use base-10 blocks or draw pictures to represent the numbers. 5) Ask family members to give you numbers to practice with. 6) Create flashcards with numbers on one side and expanded form on the other.