Grade 2 Place Value: Learn Ones, Tens, and Hundreds

Introduction

Have you ever wondered why the 5 in 50 means something different from the 5 in 500?

The answer is place value!

Place value tells us what each digit in a number is worth based on where the digit is located. In grade 2 place value, students learn to read, write, compare, and understand numbers within 1,000.

For example, in 352:

• 2 is in the ones place.
• 5 is in the tens place.
• 3 is in the hundreds place.

Understanding place value is an important math skill because it helps students add, subtract, compare numbers, and work with larger numbers later.

Let’s learn it step by step!

Learning Objective

By the end of this lesson, you will be able to:

• Identify the ones, tens, and hundreds places.
• Tell the value of each digit in a number.
• Write numbers using hundreds, tens, and ones.
• Read and write numbers in different forms.
• Compare numbers using **>**, **<**, and **=**.

What Is Place Value?

Place value tells us the value of a digit based on its position in a number.

Let’s look at the number 247.

Hundreds	Tens	Ones
2	4	7
200	40	7

So:

247 = 200 + 40 + 7

We can say:

• 2 hundreds = 200
• 4 tens = 40
• 7 ones = 7

The position of each digit matters!

The Three Main Places

For Grade 2, we often work with these three places:

Hundreds → Tens → Ones

When we name place-value positions from right to left, we start with ones, then tens, then hundreds. When we write a three-digit number from left to right, the places are hundreds, tens, and ones.

Think of them like three boxes:

HUNDREDS     TENS      ONES
3          5         8

This number is 358.

That means:

3 hundreds + 5 tens + 8 ones = 358

Ones Place

The ones place is the far-right digit.

In 46, the 6 is in the ones place.

So:

6 ones = 6

Tens Place

The tens place is the second digit from the right.

In 46, the 4 is in the tens place.

So:

4 tens = 40

Hundreds Place

The hundreds place is the third digit from the right.

In 346, the 3 is in the hundreds place.

So:

3 hundreds = 300

Expanded Form

Expanded form shows the value of each digit separately.

For example:

426

Break it apart:

• 4 hundreds = 400
• 2 tens = 20
• 6 ones = 6

Therefore:

426 = 400 + 20 + 6

Here are a few more examples:

Number	Expanded Form
135	100 + 30 + 5
270	200 + 70
504	500 + 4
681	600 + 80 + 1

A 0 shows that a place has no value. For example, in 504, there are 5 hundreds, 0 tens, and 4 ones. The zero helps hold the correct place.

Standard Form and Word Form

There are different ways to show a number.

For example, 325 can be written as:

Standard form: 325

Expanded form: 300 + 20 + 5

Word form: three hundred twenty-five

These are three different ways to show the same number.

Easy Examples

Example 1: Find the Value of a Digit

What is the value of the 6 in 264?

First, find its place.

2     6     4
Hundreds  Tens  Ones

The 6 is in the tens place.

So:

6 tens = 60

Answer: 60

 

Example 2: Write the Expanded Form

Write 583 in expanded form.

Break the number into hundreds, tens, and ones:

• 5 hundreds = 500
• 8 tens = 80
• 3 ones = 3

So:

583 = 500 + 80 + 3

Answer: 500 + 80 + 3

Example 3: Build a Number

A number has:

• 4 hundreds
• 2 tens
• 7 ones

What is the number?

Start with the hundreds:

400

Add the tens:

400 + 20 = 420

Add the ones:

420 + 7 = 427

Answer: 427

Comparing Numbers Using Place Value

Place value also helps us compare numbers.

We use:

> means greater than
< means less than
= means equal to

Let’s compare 348 and 382.

First, compare the hundreds:

• 3 hundreds
• 3 hundreds

They are equal.

Next, compare the tens:

• 4 tens
• 8 tens

Since 8 tens is greater than 4 tens, we know:

382 > 348

Real-Life Example

Imagine two children have collections of stickers.

• Mia has 125 stickers.
• Leo has 152 stickers.

Both have 1 hundred sticker, so compare the tens:

• Mia: 2 tens
• Leo: 5 tens

Leo has more stickers.

152 > 125

Place value helps us see why!

Let’s Practice

Try these questions on your own.

1. What is the value of the 7 in 274?

1. 7
2. 70
3. 700
4. 77

2. Write 639 in expanded form.

3. What number has 5 hundreds, 3 tens, and 2 ones?

4. Fill in the correct symbol:

417 \_\_\_ 471

Use >, <, or =.

5. What is the value of the digit 8 in 805?

Challenge Questions

Ready for a little extra thinking?

Challenge 1

I am a three-digit number.

• My hundreds digit is 6.
• My tens digit is 2.
• My ones digit is 9.

What number am I?

Challenge 2

Which number is greater: 407 or 470?

Explain how place value helps you decide.

Challenge 3

Sam says:

“The 5 in 352 has a value of 5.”

Is Sam correct? Explain your answer.

Answer Key

Let’s Practice

1. B. 70

The 7 is in the tens place.

7 tens = 70.

2. 639 = 600 + 30 + 9

There are 6 hundreds, 3 tens, and 9 ones.

3. 532

5 hundreds = 500, 3 tens = 30, and 2 ones = 2.

4. 417 < 471

Both numbers have 4 hundreds. Compare the tens: 1 ten is less than 7 tens.

5. 800

The 8 is in the hundreds place, so its value is 800.

Challenge Answers

1. 629

6 hundreds + 2 tens + 9 ones = 629.

2. 470 is greater than 407.

Both numbers have 4 hundreds. Compare the tens: 7 tens is greater than 0 tens.

3. No.

The 5 is in the tens place in 352, so its value is 50, not 5.

Common Place Value Mistakes

Mistake 1: Forgetting the digit’s position

A student may see a 4 and always say its value is 4.

Remember: the place changes the value.

In 4, the value is 4.

In 40, the value is 40.

In 400, the value is 400.

Mistake 2: Reading the places from the wrong side

Always start with the ones place on the right.

Hundreds → Tens → Ones

Mistake 3: Forgetting zero as a placeholder

In 506, there are:

• 5 hundreds
• 0 tens
• 6 ones

The zero tells us there are no tens.

Mistake 4: Comparing the wrong digit

When comparing three-digit numbers, start with the hundreds. If the hundreds are the same, compare the tens. Then compare the ones.

Quick Math Tip

Remember: O-T-H!

From right to left:

O = Ones

T = Tens

H = Hundreds

Try saying:

> Ones, Tens, Hundreds!

This can help you remember the order.

Fun Fact

Our number system is called the base-ten system because we group numbers by tens.

10 ones = 1 ten

10 tens = 1 hundred

10 hundreds = 1 thousand

That is why understanding place value is so important!

Mini Quiz

Choose the best answer.

1. What is the value of 3 in 432?

1. 3
2. 30
3. 300
4. 32

2. Which is the expanded form of 721?

1. 700 + 20 + 1
2. 70 + 20 + 1
3. 700 + 2 + 1
4. 700 + 21

3. Which number has 8 hundreds, 4 tens, and 6 ones?

1. 846
2. 864
3. 486
4. 804

4. Which statement is true?

1. 325 > 352
2. 352 > 325
3. 325 = 352
4. 352 < 325

5. What is the value of the 9 in 690?

1. 9
2. 90
3. 900
4. 99

Mini Quiz Answers

1. C. 300 — The 3 is in the hundreds place.
2. A. 700 + 20 + 1 — 7 hundreds, 2 tens, and 1 one.
3. A. 846 — 8 hundreds + 4 tens + 6 ones.
4. B. 352 > 325 — Both have 3 hundreds, but 5 tens is greater than 2 tens.
5. B. 90 — The 9 is in the tens place.

Parent/Teacher Tip: Build a Number

Make place value hands-on!

Give your child or students small objects, such as buttons, blocks, coins, or cereal pieces.

Create groups of:

• Hundreds
• Tens
• Ones

Then call out a number, such as 243.

Ask the child to build:

• 2 hundreds
• 4 tens
• 3 ones

Then ask:

“What happens if we add one more ten?”

The child should discover that:

243 + 10 = 253

This simple activity connects place value to addition and helps children see that digits represent groups of different sizes.

Frequently Asked Questions

What is place value for Grade 2?

Place value tells us what a digit is worth based on its position in a number. Grade 2 students commonly work with ones, tens, and hundreds.

What are the place values in a three-digit number?

From right to left, the places are ones, tens, and hundreds.

What is the value of 5 in 352?

The 5 is in the tens place, so its value is 50.

What is expanded form?

Expanded form shows the value of each digit separately. For example, 438 = 400 + 30 + 8.

Why is place value important?

Place value helps students understand numbers and prepares them for addition, subtraction, comparing numbers, and working with larger numbers.

How can I teach place value at home?

Use blocks, coins, buttons, or other small objects to make groups of hundreds, tens, and ones. Building numbers makes the idea easier to understand.

What is a zero placeholder?

A zero can show that a particular place has no value. In 507, the zero means there are 0 tens.

How do you compare two three-digit numbers?

First compare the hundreds. If they are equal, compare the tens. If those are equal too, compare the ones.

Conclusion

Place value helps us understand what numbers really mean. Once you know that the position of a digit changes its value, numbers become much easier to read, build, compare, and use.

Remember:

Hundreds → Tens → Ones

Keep practicing with different numbers, and don’t worry if it takes a little time. Every math problem you solve helps you become a stronger mathematician!

You can do it! Keep counting, thinking, and learning!