Learning How to Solve Expanded Form in Grade 1

Master solving expanded form with exercises, solutions, and visual explanations.

Problem Solving Exercises 1 to 3
Solving Expanded Form Problems
Step-by-step problem solving approach
1 Basic Problem Solving
Problem Solving 1
Solve: Write 23 in expanded form
Definition:

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

Problem Solving Method:
  1. Read the problem carefully
  2. Identify the number to convert
  3. Determine the place value of each digit
  4. Write as addition of place values
  5. Verify your answer
Problem Solving Path
23
Given Number
→
2 tens + 3 ones
Place Value
→
20 + 3
Expanded Form
23 = 20 + 3
Step 1: Read the problem: "Write 23 in expanded form"
Step 2: Identify the number: 23 has two digits
Step 3: Determine place values:
2 is in the tens place (2 × 10 = 20)
3 is in the ones place (3 × 1 = 3)
Step 4: Write in expanded form: 23 = 20 + 3
Step 5: Verify: 20 + 3 = 23 ✓
23 = 20 + 3
Final answer:

23 in expanded form is 20 + 3

Applied rules:

• Place value: Tens digit × 10, ones digit × 1

• Expanded form: Show value of each digit

• Verification: Check by adding parts together

2 Tens and Ones Identification
Problem Solving 2
Solve: Write 45 in expanded form
Definition:

Problem solving: Systematic approach to finding solutions

Problem Solving Process
45
Given Number
→
4 tens + 5 ones
Place Value
→
40 + 5
Expanded Form
45 = 40 + 5
Step 1: Read the problem: "Write 45 in expanded form"
Step 2: Identify the number: 45 has two digits
Step 3: Determine place values:
4 is in the tens place (4 × 10 = 40)
5 is in the ones place (5 × 1 = 5)
Step 4: Write in expanded form: 45 = 40 + 5
Step 5: Verify: 40 + 5 = 45 ✓
45 = 40 + 5
Final answer:

45 in expanded form is 40 + 5

Applied rules:

• Place value: Tens digit × 10, ones digit × 1

• Expanded form: Show value of each digit

• Verification: Check by adding parts together

3 Visual Problem Solving
Problem Solving 3
Solve: Write 37 in expanded form using visual representation
Definition:

Visual problem solving: Using diagrams to understand and solve problems

Visual Problem Solving
37
10
10
10
1
1
1
1
1
1
1
=
30 + 7
(3 tens)
(7 ones)
37 = 30 + 7
Step 1: Read the problem: "Write 37 in expanded form"
Step 2: Identify the number: 37 has two digits
Step 3: Determine place values:
3 is in the tens place (3 × 10 = 30)
7 is in the ones place (7 × 1 = 7)
Step 4: Write in expanded form: 37 = 30 + 7
Step 5: Verify: 30 + 7 = 37 ✓
37 = 30 + 7
Final answer:

37 in expanded form is 30 + 7

Applied rules:

• Place value: Tens digit × 10, ones digit × 1

• Expanded form: Show value of each digit

• Verification: Check by adding parts together

Problem Solving Concepts & Strategies
ab = (a × 10) + b
Expanded Form Formula
Problem Solving Strategies
Effective approaches to solving expanded form problems
Key Problem Solving Concepts:

Expanded Form: Writing numbers as the sum of their place values

Tens Place: Shows groups of ten (10, 20, 30...)

Ones Place: Shows individual units (1, 2, 3...)

Place Value: Position determines value

Problem Solving: Systematic approach to finding solutions

Problem Solving Steps
Step 1
Read
Understand the problem
Step 2
Identify
Find the number
Step 3
Solve
Write expanded form
Standard Form
23
Regular number
Expanded Form
20 + 3
Value breakdown
Place Value
2 tens + 3 ones
Digit value
Problem Solving Rule: Always follow the same systematic steps.
Strategy: "Read, Identify, Solve, Verify" - RISV method!
Advanced Problem Solving Exercises 4 to 5
Challenging Problem Solving
More complex problems with expanded form
4 Independent Problem Solving
Problem Solving 4
Solve: Write 58 in expanded form
Definition:

Independent problem solving: Applying learned methods without guidance

Independent Problem Solving
58
Given Number
→
5 tens + 8 ones
Place Value
→
50 + 8
Expanded Form
58 = 50 + 8
Step 1: Read the problem: "Write 58 in expanded form"
Step 2: Identify the number: 58 has two digits
Step 3: Determine place values:
5 is in the tens place (5 × 10 = 50)
8 is in the ones place (8 × 1 = 8)
Step 4: Write in expanded form: 58 = 50 + 8
Step 5: Verify: 50 + 8 = 58 ✓
58 = 50 + 8
Final answer:

58 in expanded form is 50 + 8

Applied rules:

• Place value: Tens digit × 10, ones digit × 1

• Expanded form: Show value of each digit

• Verification: Check by adding parts together

5 Mastery Problem Solving
Problem Solving 5
Solve: Write 64 in expanded form
Definition:

Mastery: Demonstrating complete understanding and application

Mastery Problem Solving
64
Given Number
→
6 tens + 4 ones
Place Value
→
60 + 4
Expanded Form
64 = 60 + 4
Step 1: Read the problem: "Write 64 in expanded form"
Step 2: Identify the number: 64 has two digits
Step 3: Determine place values:
6 is in the tens place (6 × 10 = 60)
4 is in the ones place (4 × 1 = 4)
Step 4: Write in expanded form: 64 = 60 + 4
Step 5: Verify: 60 + 4 = 64 ✓
64 = 60 + 4
Final answer:

64 in expanded form is 60 + 4

Applied rules:

• Place value: Tens digit × 10, ones digit × 1

• Expanded form: Show value of each digit

• Verification: Check by adding parts together

Complete Problem Solving Summary: How to Solve Expanded Form
Mastering Problem Solving for Expanded Form
Everything you need to know about solving expanded form problems
Comprehensive Problem Solving Guide to Expanded Form
Definitions:
  • Expanded Form: Writing a number to show the value of each digit (e.g., 23 = 20 + 3)
  • Standard Form: The regular way we write numbers (e.g., 23)
  • Place Value: The value of a digit depends on its position in a number
  • Tens Place: Shows groups of ten (10, 20, 30...)
  • Ones Place: Shows individual units (1, 2, 3...)
  • Problem Solving: Systematic approach to finding solutions
Core Rules:
  • Every two-digit number can be broken into tens and ones
  • The tens digit multiplied by 10 gives the tens value
  • The ones digit stays as it is
  • Expanded form shows the sum of these values
  • Place value determines how we break apart numbers
  • Problem solving follows systematic steps
Problem Solving Method:
  1. Read: Carefully read the problem to understand what is being asked
  2. Identify: Locate the number that needs to be converted
  3. Analyze: Determine the place value of each digit
  4. Solve: Write the number in expanded form
  5. Verify: Check your answer by adding the parts together
Examples (Problem Solving Progression):
  • Basic: 12 = 10 + 2 (1×10 + 2×1)
  • Practice: 25 = 20 + 5 (2×10 + 5×1)
  • Application: 38 = 30 + 8 (3×10 + 8×1)
  • Independence: 47 = 40 + 7 (4×10 + 7×1)
  • Mastery: 76 = 70 + 6 (7×10 + 6×1)
Problem Solving Tips and Tricks:
  • Read carefully: Make sure you understand what the problem asks
  • Identify digits: Clearly identify the tens and ones digits
  • Use place value: Remember that tens digit × 10
  • Check your work: Always add parts to verify your answer
  • Practice regularly: Consistent practice builds fluency
Common Problem Solving Pitfalls:
  • Forgetting to multiply the tens digit by 10
  • Confusing tens and ones positions
  • Not separating the parts correctly
  • Skipping the verification step
  • Not following the systematic approach
Memorization Aids:
  • Phrase: "Tens times ten, ones stay the same"
  • Acronym: RISV - Read, Identify, Solve, Verify
  • Analogy: Like unpacking a box - break it into parts
  • Pattern: Always the same sequence: read, identify, analyze, solve
  • Rhyme: "Tens go up, ones stay down, that's how expanded form goes round!"
Problem Solving Success Strategies:
  • Systematic approach: Always follow the same problem solving steps
  • Verification: Check your answer by adding parts together
  • Practice: Work with different numbers to build fluency
  • Self-monitoring: Check your own work for accuracy
  • Patience: Take time to understand each step
Key Takeaways:
  • Problem solving follows a systematic approach for consistent results
  • Expanded form helps understand place value deeply
  • Always multiply the tens digit by 10
  • Place value is consistent across all number systems
  • Regular practice with expanded form builds mathematical fluency
  • Verification is essential for accuracy
Key problem solving definitions:

Expanded Form: Writing numbers as the sum of their place values (e.g., 45 = 40 + 5)

Problem Solving: Systematic approach to finding solutions through logical steps

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

Advanced Problem Solving Techniques:
  1. Systematic approach: Always follow the same steps for consistency
  2. Multiple representations: Use visual, numeric, and verbal approaches
  3. Self-assessment: Check your own work and identify errors
  4. Pattern recognition: Notice how the tens digit determines the tens value
  5. Verification: Always check your answer by adding parts
Tip 1: Always multiply the tens digit by 10.
Tip 2: The ones digit stays the same.
Tip 3: Practice with manipulatives like base-10 blocks for hands-on learning.
Tip 4: Verify your answer by adding the expanded parts.
Success Strategy: Master expanded form through systematic problem solving and consistent practice.
Practice Focus: Work with various number combinations to strengthen place value understanding.
Essential Problem Solving Rules:

• Read: Understand what the problem asks

• Identify: Find the number to convert

• Place Value: Tens digit × 10, ones digit × 1

• Write: Combine the values with addition

• Verify: Check by adding parts together

Problem Solving Questions & Answers

Question: How can I teach students to approach expanded form problems systematically?

Answer: Teach students to follow a systematic approach:

  • Step 1: Read the problem carefully
  • Step 2: Identify the number to convert
  • Step 3: Determine place values of each digit
  • Step 4: Write in expanded form
  • Step 5: Verify by adding parts

Practice this sequence consistently so it becomes automatic.

Question: How can I help my child solve expanded form problems at home?

Answer: Here are effective home problem solving strategies:

  • Start with simple numbers and gradually increase difficulty
  • Use everyday objects like beans, buttons, or coins to represent tens and ones
  • Encourage your child to read problems aloud
  • Remind them to check their work by adding parts together
  • Practice regularly but in short, engaging sessions

Encourage systematic thinking and celebrate progress.

Question: I sometimes forget what to do when solving expanded form problems. What can I do?

Answer: Remember the RISV method:

  • R: Read the problem carefully
  • I: Identify the number
  • S: Solve by writing expanded form
  • V: Verify by adding parts together

Practice this sequence until it becomes automatic!