Hundred Tens and Ones Worksheets for Grade 4

Complete collection of hundred tens and ones worksheets with detailed solutions, visual representations, and practice exercises.

Worksheets: Exercises 1 to 3
1 Place Value Identification
Worksheet Exercise 1
Identify the hundreds, tens, and ones in the number 473.
Definition:

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

Hundreds Place: The third digit from the right, representing how many hundreds

Method:
  1. Identify the position of each digit
  2. Determine the value of each digit based on its position
  3. Express the number as a sum of place values
Number
473
Hundreds
4
Tens
7
Ones
3
Step 1: Identify the position of each digit

In 473: 4 is in the hundreds place, 7 is in the tens place, 3 is in the ones place

Step 2: Determine the value of each digit

Hundreds place: 4 × 100 = 400

Tens place: 7 × 10 = 70

Ones place: 3 × 1 = 3

Step 3: Express as sum of place values

473 = 400 + 70 + 3

4 hundreds
7 tens
3 ones
473 = 4 hundreds + 7 tens + 3 ones
Final answer:

In 473: Hundreds = 4, Tens = 7, Ones = 3

Applied rules:

• Place Value: Each position represents a power of 10

• Position Recognition: Right to left: ones, tens, hundreds

• Value Calculation: Digit × Position value

2 Base Ten Blocks Representation
Worksheet Exercise 2
Show 364 using base ten blocks. How many hundreds, tens, and ones blocks do you need?
Definition:

Base Ten Blocks: Visual tools representing place values (flats = hundreds, rods = tens, units = ones)

Concrete Representation: Physical or visual models of abstract concepts

Number
364
Hundreds Blocks
3
Tens Blocks
6
Ones Blocks
4
100

Flat

10

Rod

1

Unit

Step 1: Identify each digit's place value

364: 3 in hundreds place, 6 in tens place, 4 in ones place

Step 2: Determine blocks needed

3 hundreds blocks (flats)

6 tens blocks (rods)

4 ones blocks (units)

Step 3: Verify the total

3 × 100 + 6 × 10 + 4 × 1 = 300 + 60 + 4 = 364

3 flats (hundreds)
6 rods (tens)
4 units (ones)
364 = 3 hundreds + 6 tens + 4 ones
Final answer:

You need 3 hundreds blocks, 6 tens blocks, and 4 ones blocks to represent 364

Applied rules:

• Base Ten System: Each place is 10 times the previous place

• Concrete Modeling: Visual representation helps understand abstract concepts

• Place Value: Each digit's value depends on its position

3 Expanded Form
Worksheet Exercise 3
Write 528 in expanded form and in word form.
Definition:

Expanded Form: Writing a number as the sum of the values of each digit

Word Form: Writing a number using words instead of digits

Standard Form
528
Expanded Form
500 + 20 + 8
Word Form
Five hundred twenty-eight
Step 1: Identify each digit's place value

528: 5 in hundreds place, 2 in tens place, 8 in ones place

Step 2: Write in expanded form

528 = 500 + 20 + 8

(5 × 100) + (2 × 10) + (8 × 1)

Step 3: Write in word form

Five hundred twenty-eight

Step 4: Verify

500 + 20 + 8 = 528 ✓

5 hundreds
2 tens
8 ones
Standard: 528, Expanded: 500 + 20 + 8, Word: Five hundred twenty-eight
Final answer:

Expanded form: 500 + 20 + 8, Word form: Five hundred twenty-eight

Applied rules:

• Expanded Form: Sum of each digit's place value

• Word Form: Write each period followed by its name

• Place Value: Each position represents a power of 10

Core Concepts and Rules for Place Value
\(abc = a \times 100 + b \times 10 + c \times 1\)
Place Value Decomposition
Rule 1
\(a \times 100 = \text{hundreds}\)
Hundreds place value
Rule 2
\(b \times 10 = \text{tens}\)
Tens place value
Rule 3
\(c \times 1 = \text{ones}\)
Ones place value
Rule 4
\(abc = \text{expanded form}\)
Decomposition rule
Key Definitions:

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

Hundreds Place: The third position from the right, representing multiples of 100

Tens Place: The second position from the right, representing multiples of 10

Ones Place: The first position from the right, representing individual units

Expanded Form: Writing a number as the sum of the values of each digit

Standard Form: Writing a number using digits (e.g., 473)

Word Form: Writing a number using words (e.g., four hundred seventy-three)

Step-by-Step Method for Place Value:
  1. Identify positions: Count from right to left (ones, tens, hundreds)
  2. Determine value: Multiply each digit by its place value
  3. Write in expanded form: Express as sum of place values
  4. Write in word form: Use proper number names
  5. Check: Verify your answer by adding the expanded form
Tip 1: Remember the order from right to left: ones, tens, hundreds.
Tip 2: Use base ten blocks to visualize the value of each digit.
Tip 3: Always check your expanded form by adding to see if you get the original number.
Tip 4: Practice reading numbers aloud to reinforce place value understanding.
Visual Infographic: Place Value System

Hundred Tens Ones

🔢
Base Ten Blocks Example

For 247:

200

2 flats

40

4 rods

7

7 units

247 = 200 + 40 + 7

Forms Comparison

Number: 356

Standard: 356
Expanded: 300 + 50 + 6
Word: Three hundred fifty-six
Place Value Steps
1
Identify Positions
2
Multiply by Value
3
Write Expanded
4
Verify Sum
Place Value Chart
Hundreds
Tens
Ones

Each position is 10 times the value of the position to its right

Common Mistakes

❌ Confusing place value positions

❌ Forgetting to multiply by place value

❌ Mixing up expanded and standard forms

✅ Remember: Position determines value!

Practice: Count positions from right to left!
Key Concept: Each position in a number has a specific value based on its location.
Memory Tip: "Right to left: ones, tens, hundreds!"
Detailed Summary: Hundred Tens and Ones
Comprehensive Learning Guide

Key Definitions

Place Value: The value of a digit based on its position in a number. In the number 473, the digit 4 is in the hundreds place, 7 is in the tens place, and 3 is in the ones place.

Hundreds Place: The third position from the right in a number, representing how many groups of 100 are in the number.

Tens Place: The second position from the right in a number, representing how many groups of 10 are in the number.

Ones Place: The first position from the right in a number, representing how many individual units are in the number.

Expanded Form: Writing a number as the sum of the values of each digit (e.g., 473 = 400 + 70 + 3).

Standard Form: Writing a number using digits (e.g., 473).

Word Form: Writing a number using words (e.g., four hundred seventy-three).

Core Rules and Principles

Positional Notation: Each position in a number represents a power of 10. From right to left: ones (10⁰), tens (10¹), hundreds (10²).

Place Value Rule: The value of a digit is determined by multiplying the digit by its place value: abc = a × 100 + b × 10 + c × 1.

Base Ten System: Each place value is 10 times the value of the place to its right.

Expanded Form Rule: A number equals the sum of each digit multiplied by its place value.

Step-by-Step Method for Place Value

  1. Identify positions: Starting from the right, label positions as ones, tens, hundreds.
  2. Determine digit values: Multiply each digit by its place value.
  3. Write expanded form: Express the number as a sum of place values.
  4. Write word form: Use proper number names for each place value.
  5. Verify: Add the expanded form to check if it equals the original number.

Examples

Simple Example: 245 = 200 + 40 + 5 (2 hundreds, 4 tens, 5 ones)

Intermediate Example: 678 = 600 + 70 + 8 (6 hundreds, 7 tens, 8 ones)

Advanced Example: 903 = 900 + 0 + 3 (9 hundreds, 0 tens, 3 ones)

Word Form: 473 = four hundred seventy-three

Tips and Tricks

  • Remember the order from right to left: ones, tens, hundreds
  • Use base ten blocks to visualize the value of each digit
  • Always check your expanded form by adding to see if you get the original number
  • Practice reading numbers aloud to reinforce place value understanding
  • Use a place value chart to organize your thinking
  • Zero digits hold place value positions

Common Pitfalls to Avoid

  • Confusing place value positions (mixing up hundreds and tens)
  • Forgetting that zero holds a place value position
  • Mixing up expanded and standard forms
  • Not multiplying digits by their place value
  • Incorrectly naming numbers in word form
  • Forgetting to verify expanded form equals original number

Key Takeaways for Memorization

  • Position determines value (right to left: ones, tens, hundreds)
  • Each place is 10 times the previous place
  • Expanded form: digit × place value
  • Always verify by adding expanded form
  • Zero digits still hold place value
  • Practice reading numbers aloud
\(abc = a \times 100 + b \times 10 + c \times 1\)
Place Value Formula
Key Concept: Each position in a number has a specific value based on its location.
Memory Tip: "Right to left: ones, tens, hundreds!"
Essential Formulas:

• Place Value: \(abc = a \times 100 + b \times 10 + c \times 1\)

• Expanded Form: \(a \times 100 + b \times 10 + c \times 1\)

• Standard Form: \(abc\) (digits only)

• Word Form: Name each digit with its place value

Questions & Answers

Question: I sometimes get confused about which digit is in the hundreds place versus the tens place. How can I remember the order?

Answer: A good way to remember is to count from right to left: ones, tens, hundreds. Here are some memory tricks:

• Right-to-left rule: Start from the right and count: 1st = ones, 2nd = tens, 3rd = hundreds

• Acronym: "O-T-H" = Ones, Tens, Hundreds

• Physical reminder: Hold up your right hand and count: pinky = ones, ring finger = tens, middle finger = hundreds

For example, in 473: 3 is in the ones place (rightmost), 7 is in the tens place (second from right), 4 is in the hundreds place (third from right).

Question: What happens when there's a zero in the tens place, like in 503? How do I handle that?

Answer: Zero still holds a place value position! In 503:

• 5 is in the hundreds place = 500

• 0 is in the tens place = 0 tens = 0

• 3 is in the ones place = 3

So: 503 = 500 + 0 + 3

The zero is important because it holds the tens place and maintains the value of the hundreds digit. Without it, 503 would be 53!

Expanded form: 503 = 500 + 0 + 3 (don't skip the zero!)

Question: My child is struggling with place value concepts. How can I help them practice at home?

Answer: Here are effective home practice strategies:

  1. Use household items: Count beans, coins, or pasta to represent place values
  2. Play number games: Have your child read random 3-digit numbers aloud
  3. Base ten blocks: Use physical blocks or draw them to visualize place value
  4. Practice with money: Dollars = hundreds, dimes = tens, pennies = ones
  5. Write numbers in different forms: Standard, expanded, and word forms
  6. Real-life connections: Look at prices, temperatures, or addresses

Start with smaller numbers and gradually increase difficulty. Consistent daily practice for 10-15 minutes works better than long sessions once a week.

Make it fun with games and challenges to keep your child engaged!