Hundreds, Tens and Ones Worksheet for Grade 2 Students

Complete practice worksheet with 15 exercises covering place value identification, number composition, expanded form, and visual representations.

Worksheet Part 1: Place Value Identification
1 Identify place values
Problem 1
Circle the hundreds digit in 487.
Definition:

Place value positions: From right to left: ones, tens, hundreds.

HUNDREDS
4
TENS
8
ONES
7
Step 1: Identify positions

From right to left: 7 (ones), 8 (tens), 4 (hundreds)

Step 2: Locate hundreds digit

The hundreds digit is the third digit from the right

Step 3: Circle the answer

Circle the digit 4

Answer:

The hundreds digit in 487 is 4.

2 Calculate place values
Problem 2
What is the value of the tens digit in 632?
Definition:

Digit value: The actual worth of a digit based on its position (digit × place value).

HUNDREDS
6 × 100 = 600
TENS
3 × 10 = 30
ONES
2 × 1 = 2
Step 1: Identify the tens digit

In 632, the tens digit is 3

Step 2: Calculate its value

Tens value = 3 × 10 = 30

Answer:

The value of the tens digit in 632 is 30.

3 Expanded form
Problem 3
Write 547 in expanded form.
Definition:

Expanded form: Writing a number as the sum of each digit's value.

HUNDREDS
5 × 100 = 500
TENS
4 × 10 = 40
ONES
7 × 1 = 7
Step 1: Break down each digit

5 is in the hundreds place: 5 × 100 = 500

4 is in the tens place: 4 × 10 = 40

7 is in the ones place: 7 × 1 = 7

Step 2: Write in expanded form

547 = 500 + 40 + 7

547 = 500 + 40 + 7
Answer:

547 = 500 + 40 + 7

4 Ordering numbers
Problem 4
Put these numbers in order from least to greatest: 234, 324, 243
Definition:

Number ordering: Compare numbers by examining digits from left to right (highest place value first).

234
2|3|4
324
3|2|4
243
2|4|3
Step 1: Compare hundreds place first

234: 2 hundreds, 324: 3 hundreds, 243: 2 hundreds

So 324 is largest, compare 234 vs 243

Step 2: Compare tens place for remaining numbers

234: 3 tens, 243: 4 tens

So 234 < 243

Step 3: Arrange in order

Least to greatest: 234, 243, 324

Answer:

234, 243, 324

5 Number composition
Problem 5
What number is made up of 7 hundreds, 2 tens, and 9 ones?
Definition:

Number composition: Building a number from its place value components.

7 HUNDREDS
7 × 100 = 700
2 TENS
2 × 10 = 20
9 ONES
9 × 1 = 9
Step 1: Convert each component to its value

7 hundreds = 7 × 100 = 700

2 tens = 2 × 10 = 20

9 ones = 9 × 1 = 9

Step 2: Add all values together

700 + 20 + 9 = 729

Answer:

The number is 729.

Worksheet Part 2: Advanced Problems
6 Missing digit
Problem 6
In the number 5_8, if the tens digit is 3, what is the number?
Definition:

Missing digit problems: Finding unknown digits based on given information.

HUNDREDS
5
TENS (GIVEN)
3
ONES
8
Step 1: Identify known information

Number format: 5_8 (hundreds = 5, ones = 8)

Tens digit is given as 3

Step 2: Fill in the missing digit

Replace blank with the tens digit: 538

Answer:

The number is 538.

7 Compare place values
Problem 7
In 666, which digit has the greatest value?
Definition:

Digit value comparison: Compare the actual worth of each digit based on position.

DIGIT 6
6 × 100 = 600
DIGIT 6
6 × 10 = 60
DIGIT 6
6 × 1 = 6
Step 1: Calculate each digit's value

Hundreds digit: 6 × 100 = 600

Tens digit: 6 × 10 = 60

Ones digit: 6 × 1 = 6

Step 2: Compare the values

600 > 60 > 6

Answer:

The hundreds digit (6) has the greatest value (600).

8 Zero in place value
Problem 8
What is the value of each digit in 407?
Definition:

Zero in place value: Zero holds the place but contributes 0 to the total value.

HUNDREDS
4 × 100 = 400
TENS
0 × 10 = 0
ONES
7 × 1 = 7
Step 1: Identify each digit and its position

4 in hundreds place, 0 in tens place, 7 in ones place

Step 2: Calculate each digit's value

4 × 100 = 400

0 × 10 = 0 (zero still holds the tens place)

7 × 1 = 7

Answer:

Hundreds value: 400, Tens value: 0, Ones value: 7

9 Visual representation
Problem 9
Show 245 using base ten blocks.
Definition:

Base ten blocks: Visual tools representing units (ones), rods (tens), and flats (hundreds).

100
100
10
10
10
10
1
1
1
1
1
Step 1: Break down 245 by place value

2 hundreds: 2 × 100 = 200

4 tens: 4 × 10 = 40

5 ones: 5 × 1 = 5

Step 2: Represent with blocks

2 hundred blocks (flats)

4 ten blocks (rods)

5 one blocks (units)

Answer:

2 hundred blocks, 4 ten blocks, 5 one blocks

10 Subtraction with place value
Problem 10
Subtract: 357 - 124
Definition:

Place value subtraction: Subtracting numbers by working with hundreds, tens, and ones separately.

HUNDREDS
3 - 1 = 2
TENS
5 - 2 = 3
ONES
7 - 4 = 3
Step 1: Align numbers by place value

357

- 124

-----

Step 2: Subtract ones place

7 - 4 = 3

Step 3: Subtract tens place

5 - 2 = 3

Step 4: Subtract hundreds place

3 - 1 = 2

Answer:

357 - 124 = 233

Worksheet Part 3: Challenge Problems
11 Comparison
Problem 11
Which is greater: 456 or 465?
Definition:

Number comparison: Compare numbers by examining digits from left to right.

456
4|5|6
465
4|6|5
Step 1: Compare hundreds place

Both have 4 hundreds → Equal so far

Step 2: Compare tens place

456: 5 tens, 465: 6 tens

Since 6 > 5, 465 > 456

Answer:

465 is greater than 456.

12 Addition with place value
Problem 12
Add: 234 + 157
Definition:

Place value addition: Adding numbers by working with hundreds, tens, and ones separately.

HUNDREDS
2 + 1 = 3
TENS
3 + 5 = 8
ONES
4 + 7 = 11 → Write 1, carry 1
Step 1: Add ones place

4 + 7 = 11 → Write 1, carry 1 to tens

Step 2: Add tens place

3 + 5 + 1 (carry) = 9

Step 3: Add hundreds place

2 + 1 = 3

Answer:

234 + 157 = 391

13 Word problem
Problem 13
Emma has 325 marbles. She gives 142 marbles to her friend. How many marbles does she have left?
Definition:

Word problem solving: Translating story problems into mathematical operations.

Step 1: Identify the operation

"Gives" indicates subtraction: 325 - 142

HUNDREDS
3 - 1 = 2
TENS
2 - 4 → Need to borrow: 12 - 4 = 8
ONES
5 - 2 = 3
Step 2: Check tens place

2 < 4, so borrow from hundreds: 325 → 2[12]5

Step 3: Subtract each place

Hundreds: 2 - 1 = 1

Tens: 12 - 4 = 8

Ones: 5 - 2 = 3

Answer:

Emma has 183 marbles left.

14 Pattern recognition
Problem 14
Complete the pattern: 100, 200, 300, __, __
Definition:

Number patterns: Identifying the rule by finding the difference between consecutive numbers.

Step 1: Find the pattern

200 - 100 = 100

300 - 200 = 100

The pattern is adding 100 each time

Step 2: Continue the pattern

300 + 100 = 400

400 + 100 = 500

Answer:

The next two numbers are 400 and 500.

15 Equation solving
Problem 15
Find the missing number: 456 - __ = 234
Definition:

Missing number problems: Using inverse operations to find unknown values.

Step 1: Set up the equation

456 - ? = 234

This means ? = 456 - 234

HUNDREDS
4 - 2 = 2
TENS
5 - 3 = 2
ONES
6 - 4 = 2
Step 2: Perform the subtraction

456 - 234 = 222

Step 3: Verify

456 - 222 = 234 ✓

Answer:

The missing number is 222.

Detailed Summary: Hundreds, Tens and Ones Concepts
Key Concepts and Definitions:

Place value: The value of a digit based on its position in a number. Each position represents a power of 10.

Hundreds place: The third digit from the right, representing groups of 100.

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

Ones place: The rightmost digit, representing individual units.

Expanded form: Writing a number as the sum of each digit's value (e.g., 345 = 300 + 40 + 5).

Standard form: The normal way of writing numbers (e.g., 345).

Core Rules and Principles:

• Position rule: From right to left: ones, tens, hundreds

• Multiplication rule: Digit × Place value gives actual value

• Comparison rule: Start comparing from highest place value

• Zero rule: Zero holds place but adds no value

• Regrouping rule: 1 hundred = 10 tens, 1 ten = 10 ones

Step-by-Step Methods:
  1. Identifying place values: Count positions from right (ones, tens, hundreds)
  2. Calculating digit values: Multiply digit by its place value (100, 10, or 1)
  3. Writing expanded form: Express each digit's value as a sum
  4. Number comparison: Compare digits starting from the highest place value
  5. Number composition: Add place values to form the complete number
  6. Visual representation: Use base ten blocks to model numbers
Examples (Simple to Advanced):

Basic: 234 = 2 hundreds, 3 tens, 4 ones

Intermediate: 507 = 5 hundreds, 0 tens, 7 ones

Advanced: 456 - 234 = 222 (place value subtraction)

Challenge: Find missing digit in 3_7 where tens value = 50

Tips and Tricks:

• Use the acronym HTU (Hundreds, Tens, Units) to remember position order

• Remember: each place is 10 times greater than the place to its right

• When comparing, start with the leftmost digit (highest place value)

• Zero digits hold place but contribute zero value

Common Pitfalls:

• Confusing digit with its place value (the digit 5 in 500 represents 500, not 5)

• Misidentifying positions when zeros are present

• Forgetting that the same digit has different values in different positions

• Starting comparisons from the wrong end (always start from highest place value)

Key Notes for Memorization:

• Memory aid: "Houses, Tents, Units" - H (hundreds), T (tens), U (ones)

• Value calculation: Always multiply the digit by its place value

• Comparison strategy: Highest place value determines which number is larger

• Zero function: Maintains number structure even when contributing zero value

• Regrouping concept: 10 of a smaller unit equals 1 of the next larger unit

Questions & Answers

Question: My child is struggling to understand why the same digit has different values in different places. How can I explain this?

Answer: Think of it like money! The digit 5 in the ones place is like having 5 pennies (5 cents), but the digit 5 in the tens place is like having 5 dimes (50 cents), and in the hundreds place it's like having 5 dollar bills ($500). The digit is the same, but its position determines its value. Use base ten blocks to show this visually: a single cube (ones), a rod of 10 cubes (tens), and a flat of 100 cubes (hundreds).

Question: Why do we need zeros in numbers like 407? Can't we just write 47?

Answer: Zero acts like a "placeholder" that tells us which position is empty. In 407, we have 4 hundreds, 0 tens, and 7 ones, which equals 407 total. If we wrote 47, that would only be 4 tens and 7 ones, which equals 47 total. The zero keeps each digit in its correct place and helps us know there are no tens in the number 407.

Question: What are some engaging activities to help students master place value concepts?

Answer: Try these engaging activities:

  • Place value riddles: "I have 3 hundreds, 0 tens, and 7 ones. What number am I?"
  • Base ten block building: Have students construct numbers with physical blocks
  • Place value charts: Fill in charts showing each digit's value
  • Number line activities: Show where numbers fall on a number line
  • Expanded form games: Match standard form to expanded form

These hands-on activities help students visualize abstract concepts.