Expanded Form Examples for Grade 1

Complete collection of expanded form examples with detailed exercises, visual learning tools, and comprehensive explanations for place value mastery.

Detailed Expanded Form Examples
1 Basic Example
Example 1
Write 23 in expanded form.
Definition:

Expanded form: Writing a number to show the value of each digit separately. For example, 23 = 20 + 3

Place value: The value of a digit based on its position in a number.

Method:
  1. Identify each digit in the number
  2. Determine the place value of each digit
  3. Write each digit with its place value
  4. Join them with addition signs
Number
23
Expanded
20 + 3
Step 1: Identify digits

In 23, we have digit 2 and digit 3

Step 2: Determine place values

The 2 is in the tens place, so its value is 2 × 10 = 20

The 3 is in the ones place, so its value is 3 × 1 = 3

Step 3: Write expanded form

23 = 20 + 3

23 = 20 + 3
Final Answer:

23 in expanded form is 20 + 3

Applied rules:

• Tens place rule: Multiply digit by 10

• Ones place rule: Digit stays the same

• Expanded form rule: Add all place values together

Tip: Think of expanded form as breaking the number into its building blocks!
2 Intermediate Example
Example 2
Write 47 in expanded form.
Definition:

Expanded form: Writing a number to show the value of each digit separately. For example, 47 = 40 + 7

Number
47
Expanded
40 + 7
Step 1: Identify digits

In 47, we have digit 4 and digit 7

Step 2: Determine place values

4 tens = 4 × 10 = 40

7 ones = 7 × 1 = 7

Step 3: Write expanded form

47 = 40 + 7

47 = 40 + 7
Final Answer:

47 in expanded form is 40 + 7

Applied rules:

• Place value rule: Each position has specific value

• Base ten rule: Tens place is 10 times the ones place

• Verification rule: Add expanded parts to check

3 Advanced Example
Example 3
Write 85 in expanded form and verify your answer.
Definition:

Expanded form: Shows place value breakdown (85 = 80 + 5)

Verification: Checking that expanded parts equal original number

Number
85
Expanded
80 + 5
Verification
80 + 5 = 85
Step 1: For expanded form

8 tens = 80, 5 ones = 5, so 85 = 80 + 5

Step 2: Verification

80 + 5 = 85 ✓

85 = 80 + 5
Final Answer:

85 in expanded form is 80 + 5, verified by adding 80 + 5 = 85

Applied rules:

• Place value rule: Each digit has specific value based on position

• Verification rule: Check that forms equal original number

• Base ten system: Uses groups of ten

Expanded Form Examples Collection
EXAMPLES COLLECTION
Simple Example
12
10 + 2
One ten and two ones
Basic Example
34
30 + 4
Three tens and four ones
Intermediate
56
50 + 6
Five tens and six ones
Advanced
78
70 + 8
Seven tens and eight ones
Round Number
40
40 + 0
Four tens and zero ones
Teen Number
19
10 + 9
One ten and nine ones
TENS PLACE
6
60
ONES PLACE
3
3
63 = 60 + 3
Example Breakdown
Memory Tip: Left digit = tens, Right digit = ones!
Practice Tip: Always verify by adding expanded parts!
Additional Expanded Form Examples
4 Teen Numbers Example
Example 4
Write 15 in expanded form. Explain how 15 is made of 1 ten and 5 ones.
Definition:

Teen numbers: Numbers 11-19 are composed of 1 ten and some ones

Number
15
Expanded
10 + 5
Step 1: Identify digits

In 15, we have digit 1 and digit 5

Step 2: Determine place values

1 ten = 1 × 10 = 10

5 ones = 5 × 1 = 5

Step 3: Write expanded form

15 = 10 + 5

Step 4: Verify

10 + 5 = 15 ✓

15 = 10 + 5
Final Answer:

15 in expanded form is 10 + 5, showing 1 ten and 5 ones

Applied rules:

• Teen number rule: Numbers 11-19 have 1 ten and extra ones

• Place value rule: Each position has specific value

• Verification rule: Check that parts equal whole number

5 Round Numbers Example
Example 5
Write 90 in expanded form. Explain how 90 represents nine tens.
Definition:

Round numbers: Numbers like 10, 20, 30... represent exact tens with zero ones

Number
90
Expanded
90 + 0
Step 1: For expanded form

9 tens = 90, 0 ones = 0, so 90 = 90 + 0

Step 2: Explanation

90 represents nine groups of ten with zero extra ones

Step 3: Verification

90 + 0 = 90 ✓

90 = 90 + 0
Final Answer:

90 in expanded form is 90 + 0, showing nine tens and zero ones

Applied rules:

• Round number rule: Multiples of 10 have zero ones

• Place value rule: Tens place shows number of tens

• Zero rule: Zero ones means no additional single units

Detailed Learning Summary: Expanded Form Mastery
COMPREHENSIVE EXPANDED FORM SUMMARY
Core Definitions

Expanded Form: Writing a number to show the value of each digit separately (e.g., 23 = 20 + 3)

Place Value: The value of a digit based on its position in a number

Tens Place: The second digit from the right, representing groups of 10

Ones Place: The rightmost digit, representing individual units

Essential Rules and Laws

Place Value Rule: Each position is 10 times the value of the position to its right

Tens Rule: The tens digit represents groups of 10 (multiply by 10)

Ones Rule: The ones digit keeps its face value

Verification Rule: The sum of expanded parts equals the original number

Step-by-Step Methods

Method 1 - Standard to Expanded:

  1. Identify each digit in the number
  2. Determine the place value of each digit
  3. Write each digit with its place value
  4. Join with addition signs

Method 2 - Verification:

  1. Add the expanded parts together
  2. Check if the sum equals the original number
  3. If yes, the expanded form is correct
Concrete Examples

Simple Example: 12 = 10 + 2

Medium Example: 38 = 30 + 8

Advanced Example: 64 = 60 + 4

Complex Example: 97 = 90 + 7

Tips and Memory Aids

Tip 1: "Left is tens, right is ones"

Tip 2: Tens digit × 10 = actual value

Tip 3: Always add expanded parts to verify

Tip 4: Use base ten blocks to visualize

Common Pitfalls to Avoid

Pitfall 1: Forgetting that the tens digit represents groups of 10 (3 in 35 = 30, not 3)

Pitfall 2: Adding instead of multiplying place values

Pitfall 3: Not verifying the answer by adding expanded parts

Pitfall 4: Confusing place values with face values

Key Takeaways for Memorization

Remember: Each digit's position determines its value

Memorize: Tens place = digit × 10, Ones place = digit × 1

Practice: Daily conversion exercises

Master: The relationship between digits and their expanded equivalents

Expanded Form Examples Questions & Answers

Question: How can I provide students with enough varied examples to master expanded form?

Answer: Provide examples across different categories:

  • Simple examples (12, 13, 14)
  • Basic examples (23, 34, 45)
  • Intermediate examples (56, 67, 78)
  • Advanced examples (89, 91, 24)
  • Round numbers (10, 20, 30...)
  • Teen numbers (11-19)

Also vary the presentation: use visual models, manipulatives, and different problem formats to ensure comprehensive understanding.

The key is showing the same concept in multiple contexts!

Question: My child understands the examples but struggles with new numbers. How can I help?

Answer: This is common when students memorize examples instead of understanding the concept:

  • Focus on the process, not the specific numbers
  • Use the same method for every number: identify digits, find place values, write expanded form
  • Practice with random numbers to ensure transfer of learning
  • Encourage explaining the thinking process aloud

Help your child internalize the algorithm rather than memorizing specific examples.

Consistent practice with different numbers builds true understanding!

Question: Why do we need so many examples? Can't I just learn one way?

Answer: Examples help you see the pattern that works for ALL numbers!

  • Every two-digit number follows the same pattern
  • Examples with different numbers help you see the rule clearly
  • More examples mean you can handle any number you encounter
  • Patterns become clearer with multiple examples

Think of examples like practice swings in baseball - the more you practice, the better you get!

Examples help you understand the rule so you can apply it to ANY number!