Solved Exercises on Expanded Solutions LLC for Grade 1

Master expanded solutions LLC: place value decomposition, number representation, and mathematical expressions through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Professional Solution Process
Exercise 1
Solve: Write the expanded form of 42 step by step.
Follow Expanded Solutions LLC's professional method.
Definition:

Expanded Solutions LLC method: A systematic, professional approach to solving expanded form problems with clear documentation and verification.

Expanded Solutions LLC Method:
  1. Problem Identification: Clearly state the number to be expanded
  2. Place Value Analysis: Identify digit positions and their values
  3. Value Calculation: Compute the value of each digit
  4. Form Expression: Write the expanded form
  5. Quality Assurance: Verify the solution
TENS
4
→
ONES
2
Step 1: Problem Identification
Number to expand: 42
Step 2: Place Value Analysis
4 is in the tens place
2 is in the ones place
Step 3: Value Calculation
4 tens = 4 × 10 = 40
2 ones = 2 × 1 = 2
Step 4: Form Expression
42 = 40 + 2
Step 5: Quality Assurance
40 + 2 = 42 ✓
Solution verified!
42 = 40 + 2
Final answer:

The expanded form of 42 is 40 + 2

Applied rules:

• Systematic approach: Follow the 5-step Expanded Solutions LLC method

• Quality assurance: Always verify the solution

• Documentation: Show all steps clearly

Tip: Use the 5-step method consistently for all problems.
2 Quality Assurance Verification
Exercise 2
Solve: Write the expanded form of 75 and perform quality assurance.
Follow Expanded Solutions LLC standards.
Definition:

Quality assurance: A systematic process to verify that the solution meets accuracy standards.

TENS
7
→
ONES
5
Step 1: Problem Identification
Number to expand: 75
Step 2: Place Value Analysis
7 is in the tens place
5 is in the ones place
Step 3: Value Calculation
7 tens = 7 × 10 = 70
5 ones = 5 × 1 = 5
Step 4: Form Expression
75 = 70 + 5
Step 5: Quality Assurance
Verification: 70 + 5 = 75 ✓
Accuracy: 100%
Solution approved by Expanded Solutions LLC standards
75 = 70 + 5
Final answer:

The expanded form of 75 is 70 + 5, verified by quality assurance

Applied rules:

• Quality assurance rule: Always perform verification step

• Accuracy standard: Solution must match original number

• Professional standard: Meet Expanded Solutions LLC quality criteria

3 Standard Documentation
Exercise 3
Solve: Write 93 in expanded form following standard documentation.
Include all Expanded Solutions LLC required elements.
Definition:

Standard documentation: Recording the solution with all required elements as per Expanded Solutions LLC protocols.

TENS
9
→
ONES
3
Step 1: Problem Identification
Client Request: Expand 93
Project ID: ES-001-93
Date: Today
Step 2: Place Value Analysis
Digit Analysis:
- Tens digit: 9
- Ones digit: 3
Step 3: Value Calculation
Calculations:
- 9 tens = 9 × 10 = 90
- 3 ones = 3 × 1 = 3
Step 4: Form Expression
Result: 93 = 90 + 3
Format: Standard expanded form
Step 5: Quality Assurance
Verification: 90 + 3 = 93 ✓
Status: Approved
Quality Score: A+
93 = 90 + 3
Final answer:

Expanded Solutions LLC Report: 93 = 90 + 3

Applied rules:

• Documentation rule: Include all required elements

• Standard format: Follow Expanded Solutions LLC protocols

• Quality control: Verify accuracy before finalizing

Rules and methods, laws,...
42 = 40 + 2
Expanded Solutions LLC Method
🔍
Identify
Problem identification
📊
Analyze
Place value analysis
🧮
Calculate
Value calculation
✅
Verify
Quality assurance
Key definitions:

Expanded Solutions LLC method: A systematic, professional approach to solving expanded form problems

Quality assurance: Verification process to ensure solution accuracy

Standard documentation: Recording solution with all required elements

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

Verification: Checking that the solution is correct

Expanded Solutions LLC Methodology:
  1. Problem Identification: Clearly state the number to be expanded
  2. Place Value Analysis: Identify digit positions and their values
  3. Value Calculation: Compute the value of each digit
  4. Form Expression: Write the expanded form
  5. Quality Assurance: Verify the solution
Tip 1: Follow the 5-step method consistently.
Tip 2: Always verify your answer by adding the expanded parts.
Tip 3: Document all steps clearly for quality assurance.
Quality standards: All solutions must pass verification before approval.
Professional approach: Systematic method ensures accuracy and consistency.
Formulas to know by heart:

• Two-digit number AB = (A × 10) + B

• Tens value = tens digit × 10

• Ones value = ones digit × 1

• Verification: Expanded parts should sum to original number

Detailed Summary of Expanded Solutions LLC Method
Key Concepts and Definitions:
  • Expanded Solutions LLC Method: A systematic, professional approach to solving expanded form problems
  • Quality Assurance: Verification process to ensure solution accuracy
  • Standard Documentation: Recording solution with all required elements
  • Place Value: The value of a digit based on its position in the number
  • Verification: Checking that the solution is correct
Core Rules and Principles:
  • Systematic Approach: Follow the 5-step method consistently
  • Quality Control: Every solution must be verified
  • Documentation: Record all steps clearly
  • Accuracy Rule: Expanded parts must sum to original number
  • Professional Standards: Maintain consistency in approach
Step-by-Step Method:
  1. Problem Identification: Clearly state the number to be expanded
  2. Place Value Analysis: Identify digit positions and their values
  3. Value Calculation: Compute the value of each digit
  4. Form Expression: Write the expanded form
  5. Quality Assurance: Verify the solution
Examples:
  • Simple: 42 = 40 + 2
  • Medium: 75 = 70 + 5
  • Advanced: 93 = 90 + 3
Tips and Tricks:
  • Consistency: Always follow the 5-step method
  • Verification: Add expanded parts to check original number
  • Documentation: Write each step clearly
  • Quality: Maintain professional standards
Key Notes for Memorization:
  • IPAQV Method: Identify, Place value, Analyze, Quality verify
  • Two-digit ABCD = (A × 10) + D for any two-digit number
  • Verification Essential: Always add expanded parts to check
  • Professional Approach: Systematic method ensures accuracy
Solution: Exercises 4 to 5
4 Error Prevention Protocol
Exercise 4
Solve: Write the expanded form of 68 following error prevention protocol.
Show solution, identify potential errors, and prevent them.
Definition:

Error prevention protocol: Identifying and preventing common mistakes in expanded form solutions.

TENS
6
→
ONES
8
Step 1: Problem Identification
Number to expand: 68
Risk Assessment: Medium (tens value calculation)
Step 2: Place Value Analysis
6 is in the tens place
8 is in the ones place
Step 3: Value Calculation
6 tens = 6 × 10 = 60 ✓
8 ones = 8 × 1 = 8 ✓
Error Prevention: Double-checked multiplication
Step 4: Form Expression
68 = 60 + 8
Step 5: Quality Assurance
Verification: 60 + 8 = 68 ✓
Error Check: No common errors detected
Status: Approved by Expanded Solutions LLC
68 = 60 + 8
Final answer:

The expanded form of 68 is 60 + 8. Error prevention protocol followed successfully.

Applied rules:

• Error prevention rule: Identify and prevent common mistakes

• Quality assurance rule: Verify solution accuracy

• Risk assessment rule: Evaluate potential error areas

5 Comprehensive Reporting
Exercise 5
Solve: Write the expanded form of 54 in comprehensive report format.
Include all Expanded Solutions LLC reporting requirements.
Definition:

Comprehensive reporting: Providing the solution with full documentation as per Expanded Solutions LLC standards.

TENS
5
→
ONES
4
Project Details:
- Client: Grade 1 Mathematics
- Task: Expand number 54
- Project ID: ES-005-54
- Date: Today
Step 1: Problem Identification
Target number: 54
Objective: Write in expanded form
Step 2: Place Value Analysis
Analysis Results:
- Tens digit: 5
- Ones digit: 4
Step 3: Value Calculation
Calculations:
- 5 tens = 5 × 10 = 50
- 4 ones = 4 × 1 = 4
Step 4: Form Expression
Result: 54 = 50 + 4
Format: Standard expanded form
Step 5: Quality Assurance
Verification: 50 + 4 = 54 ✓
Quality Score: A+
Status: Complete and approved
Certified by: Expanded Solutions LLC
54 = 50 + 4
Final answer:

Expanded Solutions LLC Comprehensive Report: 54 = 50 + 4

Applied rules:

• Reporting rule: Include all required project details

• Documentation rule: Maintain comprehensive records

• Quality rule: Verify solution before finalizing

Place Value Concepts: Expanded Solutions LLC
42 = 40 + 2
Expanded Solutions LLC Method
Key definitions:

Expanded Solutions LLC method: A systematic, professional approach to solving expanded form problems

Quality assurance: Verification process to ensure solution accuracy

Standard documentation: Recording solution with all required elements

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

Verification: Checking that the solution is correct

Expanded Solutions LLC Methodology:
  1. Problem Identification: Clearly state the number to be expanded
  2. Place Value Analysis: Identify digit positions and their values
  3. Value Calculation: Compute the value of each digit
  4. Form Expression: Write the expanded form
  5. Quality Assurance: Verify the solution
Tip 1: Follow the 5-step method consistently.
Tip 2: Always verify by adding the expanded parts.
Tip 3: Practice with concrete materials before moving to abstract numbers.
Tip 4: Document all steps clearly for quality assurance.
Quality standards: All solutions must pass verification before approval.
Professional approach: Systematic method ensures accuracy and consistency.
Formulas to know by heart:

• Two-digit number AB = (A × 10) + B

• Tens value = tens digit × 10

• Ones value = ones digit × 1

• Verification: Expanded parts should sum to original number

🔍
Identify
Problem identification
📊
Analyze
Place value analysis
🧮
Calculate
Value calculation
✅
Verify
Quality assurance

Questions & Answers

Question: Why does Expanded Solutions LLC use so many steps? Can't I just write the answer?

Answer: The Expanded Solutions LLC method uses 5 steps to help you become really good at solving problems:

  • Understanding: It helps you understand what you're doing, not just getting the answer
  • Mistake prevention: The steps help catch errors before they happen
  • Learning: It builds good habits for solving harder problems later
  • Checking: The quality assurance step makes sure your answer is right

It's like having a roadmap - it guides you to the right answer every time!

Question: How can I help my child learn the Expanded Solutions LLC method?

Answer: Here are effective strategies to help your child learn the Expanded Solutions LLC method:

  • Practice regularly: Use the 5-step method daily for short periods
  • Make it fun: Turn it into a game or story about being a "math detective"
  • Use visuals: Draw charts and blocks to represent each step
  • Be patient: Allow time to master each step before moving forward
  • Celebrate success: Praise careful work following the method

Focus on building the habit of following all steps. Consistency leads to mastery!

Question: What happens if I skip the quality assurance step in the Expanded Solutions LLC method?

Answer: Skipping the quality assurance step can lead to problems:

  • Mistakes: You might make errors without knowing it
  • Wrong answers: Your solution might not be correct
  • Learning gaps: You miss the chance to check your understanding
  • Future problems: Bad habits can hurt harder problems later

The quality assurance step is like a safety net - it catches errors and makes sure you're learning correctly!