Expanded Form Strategies - 2nd Grade Math - Exercises with solutions

Master expanded form: place value, number decomposition, and strategic approaches through these 10 detailed exercises.

Solutions: Exercises 1 to 10
1 Basic strategy
Exercise 1
Use the basic strategy to write 345 in expanded form.
Difficulty: Beginner Time: ~2 minutes Skills: Place Value Understanding, Basic Strategy
Definition:

Basic expanded form strategy: A systematic approach to convert numbers from standard to expanded form by identifying and calculating place values

Note: This strategy involves identifying each digit's position and multiplying by its place value.

Basic strategy steps:
  1. Step 1: Identify each digit in the number
  2. Step 2: Determine the place value of each digit
  3. Step 3: Multiply each digit by its place value
  4. Step 4: Write as a sum of these values
Number
345
Digits
3, 4, 5
Place Values
3×100, 4×10, 5×1
Expanded Form
300 + 40 + 5
Step 1: Identify digits

In 345: digits are 3, 4, and 5

Step 2: Identify place values

3 is in the hundreds place (×100)

4 is in the tens place (×10)

5 is in the ones place (×1)

Step 3: Calculate each part

3 × 100 = 300

4 × 10 = 40

5 × 1 = 5

Step 4: Write in expanded form

345 = 300 + 40 + 5

345 = 300 + 40 + 5
Final answer:

345 = 300 + 40 + 5

Applied rules:

• Place value system: Each position represents a power of 10

• Digit multiplication: Multiply each digit by its positional value

• Summation: The expanded form adds up to the original number

• Practice Tip: Always verify by adding the expanded parts to check if you get the original number

Related Examples:
  • 267 = 200 + 60 + 7
  • 581 = 500 + 80 + 1
  • 403 = 400 + 0 + 3
Quick Tips:
  • Start from the leftmost digit (highest place value)
  • Remember that 0 in any place contributes 0 to the sum
  • Use base-10 blocks or visual aids to understand place value
Frequently Asked Questions:

Q: What if there's a zero in the tens place?
A: Include it in the expanded form: 305 = 300 + 0 + 5 (or 300 + 5).

Q: Can I write expanded form differently?
A: Yes, another way is: 345 = (3 × 100) + (4 × 10) + (5 × 1).

2 Place value strategy
Exercise 2
Use the place value strategy to convert 278 to expanded form.
Difficulty: Beginner Time: ~2 minutes Skills: Place Value Recognition, Strategy Application
Definition:

Place value strategy: A focused approach that emphasizes understanding the value of each digit based on its position in the number

Note: This strategy prioritizes recognizing the positional value system (ones, tens, hundreds).

Place value strategy steps:
  1. Step 1: Identify the position of each digit
  2. Step 2: Assign the correct place value (1s, 10s, 100s)
  3. Step 3: Multiply each digit by its place value
  4. Step 4: Write as a sum of these values
Number
278
Positions
2=hundreds, 7=tens, 8=ones
Values
2×100, 7×10, 8×1
Expanded
200 + 70 + 8
Step 1: Identify digit positions

2 is in the hundreds place

7 is in the tens place

8 is in the ones place

Step 2: Assign place values

Hundreds = ×100

Tens = ×10

Ones = ×1

Step 3: Calculate each value

2 × 100 = 200

7 × 10 = 70

8 × 1 = 8

Step 4: Write expanded form

278 = 200 + 70 + 8

278 = 200 + 70 + 8
Final answer:

278 = 200 + 70 + 8

Applied rules:

• Positional value: Each digit's value depends on its position

• Base-10 system: Each position is 10 times the previous position

• Place value multiplication: Multiply digit by position value

• Practice Tip: Count by hundreds, tens, and ones to verify your identification

Related Examples:
  • 456 = 400 + 50 + 6
  • 193 = 100 + 90 + 3
  • 607 = 600 + 0 + 7
Quick Tips:
  • Read the number aloud to identify place values
  • Think of the number in groups: "two hundred seventy-eight"
  • Draw place value charts to visualize the breakdown
Frequently Asked Questions:

Q: What if the number has a zero in the ones place?
A: Include the zero: 270 = 200 + 70 + 0.

Q: Can I decompose numbers in other ways?
A: Yes, expanded form is one way. Other ways include word form and standard form.

3 Decomposition strategy
Exercise 3
Use the decomposition strategy to write 563 in expanded form.
Difficulty: Beginner Time: ~2 minutes Skills: Number Decomposition, Strategy Application
Definition:

Decomposition strategy: Breaking down a number into its component parts based on place value to understand its structure

Note: This strategy involves viewing the number as a collection of distinct place value components.

Decomposition strategy steps:
  1. Step 1: Separate the number into its place value components
  2. Step 2: Identify how many of each place value unit
  3. Step 3: Express each component as a multiplication
  4. Step 4: Write as a sum of all components
Number
563
Components
5 hundreds, 6 tens, 3 ones
Multiplication
5×100, 6×10, 3×1
Sum
500 + 60 + 3
Step 1: Identify components

563 has 5 hundreds, 6 tens, and 3 ones

Step 2: Count each unit

5 groups of 100

6 groups of 10

3 groups of 1

Step 3: Express as multiplication

5 × 100 = 500

6 × 10 = 60

3 × 1 = 3

Step 4: Write expanded form

563 = 500 + 60 + 3

563 = 500 + 60 + 3
Final answer:

563 = 500 + 60 + 3

Applied rules:

• Place value system: Each position represents a power of 10

• Grouping principle: Numbers can be viewed as groups of units

• Summation: The expanded form adds up to the original number

• Practice Tip: Think of the number as "five hundred sixty-three" to identify components

Related Examples:
  • 347 = 300 + 40 + 7
  • 709 = 700 + 0 + 9
  • 280 = 200 + 80 + 0
Quick Tips:
  • View numbers as collections of groups
  • Count how many of each place value unit
  • Use base-10 blocks to visualize the decomposition
Frequently Asked Questions:

Q: Can I decompose the number differently?
A: The standard decomposition follows place values, but you can break it differently for other purposes.

Q: Is decomposition useful in real life?
A: Yes, it helps with mental math, estimation, and understanding large numbers.

Solutions: Exercises 4 to 5
4 Conversion strategy
Exercise 4
Use the conversion strategy to change 400 + 20 + 7 to standard form.
Definition:

Conversion strategy: A method for changing numbers between different forms (expanded to standard or vice versa)

Note: This strategy focuses on the relationship between expanded and standard forms of numbers.

Conversion strategy steps:
  1. Step 1: Identify each place value part
  2. Step 2: Recognize the position each part represents
  3. Step 3: Combine the parts into a single number
  4. Step 4: Write in standard form
Expanded Form
400 + 20 + 7
Place Values
4 hundreds, 2 tens, 7 ones
Positions
hundreds, tens, ones
Standard Form
427
Step 1: Identify each part

400 represents 4 hundreds

20 represents 2 tens

7 represents 7 ones

Step 2: Recognize positions

4 goes in the hundreds place

2 goes in the tens place

7 goes in the ones place

Step 3: Combine parts

4 hundreds + 2 tens + 7 ones = 427

Step 4: Write in standard form

400 + 20 + 7 = 427

400 + 20 + 7 = 427
Final answer:

427

Applied rules:

• Addition: Combine all place values to get the whole number

• Place value: Each part contributes to a specific position in the final number

• Verification: Convert back to expanded form to check accuracy

• Practice Tip: Add from right to left (ones, tens, hundreds) for easier mental math

Related Examples:
  • 300 + 50 + 2 = 352
  • 600 + 0 + 8 = 608
  • 200 + 40 + 0 = 240
Quick Tips:
  • Add from smallest to largest place values (ones, tens, hundreds)
  • Align numbers vertically to avoid calculation errors
  • Always verify by converting back to expanded form
Frequently Asked Questions:

Q: What if one place value is missing?
A: Treat it as zero. Example: 300 + 0 + 7 = 307.

Q: Can I add the parts in any order?
A: Yes, addition is commutative, but it's easier to go from right to left.

5 Verification strategy
Exercise 5
Use the verification strategy to check if 642 = 600 + 40 + 2 is correct.
Definition:

Verification strategy: A method for checking the accuracy of expanded form conversions by working backwards

Note: This strategy involves confirming that expanded and standard forms represent the same number.

Verification strategy steps:
  1. Step 1: Take the expanded form parts
  2. Step 2: Add them together
  3. Step 3: Compare with the standard form
  4. Step 4: Confirm if they match
Expanded Form
600 + 40 + 2
Addition
600 + 40 + 2 = 642
Comparison
642 = 642 ✓
Step 1: Take expanded parts

600, 40, and 2

Step 2: Add the parts

600 + 40 + 2 = 642

Step 3: Compare with standard form

Is 642 equal to 642? Yes!

Step 4: Confirm accuracy

The equation 642 = 600 + 40 + 2 is correct ✓

642 = 600 + 40 + 2 ✓
Final answer:

Yes, 642 = 600 + 40 + 2 is correct

Applied rules:

• Verification: Always check your work by reversing the operation

• Equality: Both sides of the equation must be equal

• Addition: Combine all parts to verify the result

• Practice Tip: Verification is essential for building confidence in your answers

Related Examples:
  • 356 = 300 + 50 + 6 → 300 + 50 + 6 = 356 ✓
  • 704 = 700 + 0 + 4 → 700 + 0 + 4 = 704 ✓
  • 280 = 200 + 80 + 0 → 200 + 80 + 0 = 280 ✓
Quick Tips:
  • Always verify your expanded form by adding the parts
  • Use this strategy to catch errors early
  • Verification builds confidence in your mathematical skills
Frequently Asked Questions:

Q: Is verification always necessary?
A: Yes, especially when learning. It helps catch mistakes and confirms understanding.

Q: How long should I spend verifying?
A: Just a few seconds to add the parts together. It's worth the time investment.

Solutions: Exercises 6 to 10
6 Three-digit strategy
Exercise 6
Use the three-digit strategy to convert 831 to expanded form.
Definition:

Three-digit strategy: A specialized approach for handling numbers with exactly three digits (hundreds, tens, ones)

Note: This strategy focuses on the three-place value system and is ideal for numbers from 100 to 999.

Three-digit strategy steps:
  1. Step 1: Identify the hundreds digit
  2. Step 2: Identify the tens digit
  3. Step 3: Identify the ones digit
  4. Step 4: Express each digit as its place value
  5. Step 5: Write as a sum of all parts
Number
831
Step 1
8 hundreds
Step 2
3 tens
Step 3
1 ones
Step 4
8×100, 3×10, 1×1
Step 5
800 + 30 + 1
Step 1: Identify hundreds digit

8 is in the hundreds place: 8 × 100 = 800

Step 2: Identify tens digit

3 is in the tens place: 3 × 10 = 30

Step 3: Identify ones digit

1 is in the ones place: 1 × 1 = 1

Step 4: Express as place values

800, 30, and 1

Step 5: Write in expanded form

831 = 800 + 30 + 1

831 = 800 + 30 + 1
Final answer:

800 + 30 + 1

Applied rules:

• Place value system: Each position represents 10 times the previous position

• Three-digit structure: Every three-digit number has hundreds, tens, and ones

• Summation: The expanded form adds up to the original number

• Practice Tip: This strategy works for any three-digit number

Related Examples:
  • Three-digit general form: abc = a×100 + b×10 + c×1
  • With zeros: 405 = 400 + 0 + 5
  • With all non-zeros: 863 = 800 + 60 + 3
Quick Tips:
  • Focus on the three positions: hundreds, tens, ones
  • Remember that zeros still represent a value of 0 in that place
  • Use base-10 blocks or visual aids to understand the concept
Frequently Asked Questions:

Q: What if all digits are the same?
A: Still apply place values: 333 = 300 + 30 + 3.

Q: Can I write expanded form with multiplication?
A: Yes: 831 = (8×100) + (3×10) + (1×1).

7 Visual strategy
Exercise 7
Use the visual strategy to represent 546 in expanded form.
Definition:

Visual strategy: Using visual representations to understand and demonstrate expanded form concepts

Note: This strategy involves creating mental or physical images to represent place values and number components.

Visual strategy steps:
  1. Step 1: Picture base-10 blocks for each place value
  2. Step 2: Visualize hundreds, tens, and ones separately
  3. Step 3: Represent each part visually
  4. Step 4: Combine the visual parts into expanded form
Number
546
Visual Parts
5 flats, 4 rods, 6 units
Values
500, 40, 6
Expanded Form
500 + 40 + 6
Step 1: Visualize base-10 blocks

5 flats (each flat = 100) = 500

4 rods (each rod = 10) = 40

6 units (each unit = 1) = 6

Step 2: Represent each part visually

Flats represent hundreds

Rods represent tens

Units represent ones

Step 3: Calculate values

5 × 100 = 500

4 × 10 = 40

6 × 1 = 6

Step 4: Write expanded form

546 = 500 + 40 + 6

546 = 500 + 40 + 6
Final answer:

500 + 40 + 6

Applied rules:

• Visual representation: Using base-10 blocks to understand place values

• Concrete modeling: Making abstract concepts tangible

• Summation: The visual parts add up to the original number

• Practice Tip: Drawing or imagining base-10 blocks helps visualize place value

Related Examples:
  • 327 = 3 flats + 2 rods + 7 units = 300 + 20 + 7
  • 805 = 8 flats + 0 rods + 5 units = 800 + 0 + 5
  • 194 = 1 flat + 9 rods + 4 units = 100 + 90 + 4
Quick Tips:
  • Draw or imagine base-10 blocks to visualize place values
  • Use physical manipulatives if available
  • Connect visual representations to numeric forms
Frequently Asked Questions:

Q: Do I need to draw the blocks every time?
A: Initially yes, but with practice you'll visualize them mentally.

Q: Can visual strategies help with other math concepts?
A: Yes, visualization is helpful for addition, subtraction, and other operations.

8 Word problem strategy
Exercise 8
Emma has 357 stickers. Write this number in expanded form using the word problem strategy.
Definition:

Word problem strategy: Applying expanded form concepts to real-world scenarios and contextual problems

Note: This strategy connects mathematical concepts to practical situations, helping students understand the relevance of expanded form.

Word problem strategy steps:
  1. Step 1: Identify the number in the problem
  2. Step 2: Apply the appropriate expanded form strategy
  3. Step 3: Calculate the expanded form
  4. Step 4: Relate the answer back to the context
Problem Number
357
Identify Place Values
3 hundreds, 5 tens, 7 ones
Calculate Values
3×100, 5×10, 7×1
Expanded Form
300 + 50 + 7
Step 1: Identify the number

Emma has 357 stickers

Step 2: Apply expanded form strategy

3 is in the hundreds place: 3 × 100 = 300

5 is in the tens place: 5 × 10 = 50

7 is in the ones place: 7 × 1 = 7

Step 3: Write in expanded form

357 = 300 + 50 + 7

Step 4: Relate to context

Emma's 357 stickers = 300 + 50 + 7 stickers

Emma has 357 = 300 + 50 + 7 stickers
Final answer:

357 stickers = 300 + 50 + 7 stickers

Applied rules:

• Problem interpretation: Translate words into mathematical expressions

• Place value system: Each position represents a power of 10

• Summation: The expanded form adds up to the original number

• Practice Tip: Draw pictures or use manipulatives to visualize the problem

Related Examples:
  • Pencils: 415 = 400 + 10 + 5 pencils
  • Toys: 208 = 200 + 0 + 8 toys
  • Books: 560 = 500 + 60 + 0 books
Quick Tips:
  • Identify the number in the problem first
  • Apply the appropriate expanded form strategy
  • Always express your final answer in the context of the problem
Frequently Asked Questions:

Q: What if the problem has extra information?
A: Focus only on the number you need to convert.

Q: How do I know which strategy to use?
A: Start with the basic strategy and adjust as needed.

9 Mixed strategy
Exercise 9
Use a mixed strategy to convert these numbers: 613, 407, 250 to expanded form.
Definition:

Mixed strategy: Combining multiple approaches to solve expanded form problems efficiently

Note: This strategy involves selecting the most appropriate method for each situation based on the number's characteristics.

Mixed strategy steps:
  1. Step 1: Examine each number for unique features
  2. Step 2: Select the most efficient strategy for each
  3. Step 3: Apply the chosen strategy
  4. Step 4: Verify each result
Numbers
613, 407, 250
Features
No zeros, zero in tens, zero in ones
Strategies
Basic, with attention to zero
Results
600+10+3, 400+0+7, 200+50+0
Processing 613

6 is in hundreds place: 6 × 100 = 600

1 is in tens place: 1 × 10 = 10

3 is in ones place: 3 × 1 = 3

613 = 600 + 10 + 3

Processing 407

4 is in hundreds place: 4 × 100 = 400

0 is in tens place: 0 × 10 = 0

7 is in ones place: 7 × 1 = 7

407 = 400 + 0 + 7

Processing 250

2 is in hundreds place: 2 × 100 = 200

5 is in tens place: 5 × 10 = 50

0 is in ones place: 0 × 1 = 0

250 = 200 + 50 + 0

Verification

600 + 10 + 3 = 613 ✓

400 + 0 + 7 = 407 ✓

200 + 50 + 0 = 250 ✓

613 = 600 + 10 + 3
407 = 400 + 0 + 7
250 = 200 + 50 + 0
Final answer:

613 = 600 + 10 + 3, 407 = 400 + 0 + 7, 250 = 200 + 50 + 0

Applied rules:

• Flexibility: Choose the most appropriate strategy for each number

• Pattern recognition: Identify special cases like zeros

• Verification: Always check your conversions

• Practice Tip: Mixed strategies help you become more efficient with expanded form

Related Examples:
  • Matching: 184 ↔ 100 + 80 + 4
  • With zeros: 305 ↔ 300 + 0 + 5
  • All different: 762 ↔ 700 + 60 + 2
Quick Tips:
  • Look for patterns in the numbers before starting
  • Adjust your approach based on the number's features
  • Always verify by adding the expanded parts
Frequently Asked Questions:

Q: How do I know which strategy to use?
A: Look for special features like zeros, repeated digits, or patterns.

Q: Should I always use the same strategy?
A: No, flexibility helps you work more efficiently.

10 Advanced strategy
Exercise 10
Use the advanced strategy to analyze 904 and explain why the zero in the tens place matters.
Definition:

Advanced strategy: Examining numbers with special characteristics like zeros, and understanding their impact on place value

Note: This strategy involves deeper analysis of how zeros affect number structure and value.

Advanced strategy steps:
  1. Step 1: Identify each digit and its position
  2. Step 2: Note special characteristics (like zeros)
  3. Step 3: Explain the significance of each position
  4. Step 4: Show the expanded form
Number
904
Digit Analysis
9 hundreds, 0 tens, 4 ones
Special Feature
Zero in tens place
Expanded Form
900 + 0 + 4
Step 1: Identify each digit's position

9 is in the hundreds place: 9 × 100 = 900

0 is in the tens place: 0 × 10 = 0

4 is in the ones place: 4 × 1 = 4

Step 2: Note special characteristic

There is a zero in the tens place

Step 3: Explain the significance

The zero in the tens place is important because it maintains the structure of the number. Without it, 904 would become 94, which is completely different.

Step 4: Write expanded form

904 = 900 + 0 + 4

904 = 900 + 0 + 4
Final answer:

904 = 900 + 0 + 4, and the zero in the tens place is important because it holds the place value and maintains the number's magnitude.

Applied rules:

• Place value preservation: Each position must be represented even if it has zero value

• Number magnitude: Zeros in specific positions affect the overall value significantly

• Structure maintenance: Zeros maintain the positional system's integrity

• Practice Tip: Always include zeros when first learning expanded form to understand place value completely

Related Examples:
  • 503 = 500 + 0 + 3 - Zero in tens place
  • 720 = 700 + 20 + 0 - Zero in ones place
  • 600 = 600 + 0 + 0 - Zeros in tens and ones places
Quick Tips:
  • Zeros hold place value positions and are crucial for number meaning
  • Even though 0 doesn't add value numerically, it maintains positional structure
  • Compare 904 (nine hundred four) with 94 (ninety-four) to see the difference
Frequently Asked Questions:

Q: Can I omit the zero in expanded form?
A: For learning purposes, include it: 904 = 900 + 0 + 4. Later you can write: 900 + 4.

Q: Why does 904 have a different value than 94?
A: The zero in the tens place shifts the 9 to the hundreds place, changing the value significantly.

Key Laws, Methods, Rules, and Definitions
\(abc = a×100 + b×10 + c×1\)
Expanded Form Formula
Key definitions:

Expanded form: Writing a number as the sum of the value of each digit based on its place value

Standard form: The normal way of writing numbers (like 245)

Place value: The value of a digit based on its position in the number (ones, tens, hundreds)

Complete methodology:
  1. Identify the number: Recognize whether you need to convert from standard to expanded or vice versa
  2. Break down by position: Separate digits based on their place value (hundreds, tens, ones)
  3. Apply the conversion: Use multiplication for standard→expanded or addition for expanded→standard
  4. Verify the result: Check by converting back or ensuring the values add up correctly
Tip 1: Always start from the leftmost digit (highest place value) when breaking down numbers.
Tip 2: Zeros in any place value position are important and should initially be included in expanded form.
Tip 3: Read numbers aloud to help identify place values: "two hundred forty-five" shows 200 + 40 + 5.
Tip 4: Always verify your expanded form by adding the parts to ensure you get the original number.
Common errors: Forgetting place values, skipping zeros, misidentifying digit positions, calculation mistakes.
Exam preparation: Practice converting between standard and expanded forms, focus on place value understanding, verify all answers.
Rules to remember:

• Place value progression: Ones → Tens → Hundreds (each is 10 times the previous)

• Digit multiplication: Multiply each digit by its place value (1s, 10s, 100s)

• Summation principle: All expanded parts add up to the original number

• Zero significance: Zeros maintain positional value even if they add no numerical value

Rules and Methods for Expanded Form Strategies
\(abc = a×100 + b×10 + c×1\)
Three-Digit Expanded Form
Basic Strategy
Identify → Multiply → Sum
Simple approach for all numbers
Place Value Strategy
Position → Value → Calculation
Focused on positional understanding
Verification Strategy
Add Parts → Compare → Confirm
Checking for accuracy

Key Takeaways

  • Expanded form breaks down numbers by their place value components
  • Each digit's value depends on its position in the number
  • Standard form and expanded form represent the same number differently
  • Zeros maintain positional structure even if they add no value
  • Always verify by converting back to check your work
Detailed Summary: Expanded Form Strategies
Key Concepts and Definitions:

Expanded Form: Writing a number as the sum of the value of each digit based on its place value. For example, 345 = 300 + 40 + 5.

Place Value: The value of a digit based on its position in the number. In the decimal system, each position represents a power of 10 (ones, tens, hundreds, etc.).

Standard Form: The normal way of writing numbers using digits (e.g., 345).

Core Rules and Principles:

• Place Value System: Each position in a number is 10 times the value of the position to its right

• Digit Multiplier: Each digit is multiplied by its position value (1, 10, 100, etc.)

• Summation Principle: All expanded parts must add up to the original number

• Zero Significance: Zeros in any position maintain the structural integrity of the number

Step-by-Step Methods and Procedures:
  1. Identify the number: Determine if you're converting from standard to expanded or vice versa
  2. Identify digit positions: Recognize hundreds, tens, and ones places
  3. Multiply each digit: Multiply each digit by its place value (100, 10, 1)
  4. Write as sum: Express the number as the sum of these values
  5. Verify: Add the expanded parts to ensure they equal the original number
Concrete Examples (Simple → Advanced):
Simple Example:

56 = 50 + 6 (5 tens and 6 ones)

Intermediate Example:

147 = 100 + 40 + 7 (1 hundred, 4 tens, 7 ones)

Advanced Example:

508 = 500 + 0 + 8 (5 hundreds, 0 tens, 8 ones - note the zero)

Tips, Tricks, and Common Pitfalls:
  • Tips: Always start from the leftmost digit; include zeros in expanded form initially; read numbers aloud to identify place values
  • Tricks: Think of the number in words ("one hundred forty-seven" shows 100 + 40 + 7); use base-10 blocks for visualization
  • Common Pitfalls: Forgetting zeros in expanded form; misidentifying place values; calculation errors when multiplying
Key Notes and Memory Aids:
  • Remember: "Expanded" means "stretched out" - showing each digit's full value
  • Think of expanded form as "taking apart" the number to see what it's made of
  • Every digit has a job based on where it sits in the number
  • Practice with small numbers first, then gradually increase complexity
  • Always double-check by adding expanded parts to ensure they equal the original number
Important Explanations:

Understanding expanded form strategies is fundamental to developing number sense. Different strategies serve different purposes: the basic strategy works for all numbers, the place value strategy emphasizes positional understanding, and the verification strategy ensures accuracy. Students who master these strategies develop stronger foundations for addition, subtraction, and later multiplication. The strategic approach ensures accuracy and builds systematic thinking skills that transfer to other mathematical concepts.

Number System Glossary

Expanded Form
Writing a number as the sum of the value of each digit based on its place value (e.g., 245 = 200 + 40 + 5).
Standard Form
The normal way of writing numbers using digits (e.g., 245).
Place Value
The value of a digit based on its position in the number (ones, tens, hundreds).
Base-10 System
Our number system where each place value is 10 times the value of the place to its right.
Digit
Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 used to write numbers.

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