The Place Value Dojo! 🏯

🏯

The Place Value
Dojo!

A Number Position Adventure!

1️⃣ 🔟 💯 🏯 ⭐

Learn digit value, expanded form, and comparing 4-digit numbers! · Year 3–5

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Welcome!

Meet Numi the Place Value Sensei! 🥷

Welcome to the Place Value Dojo, number explorer! 👋

I am Numi the Number Ninja, and today we are learning one of the most important maths secrets of all.

The secret is this: a digit's position changes its value.

The digit 4 can mean 4, 40, 400, or even 4,000 depending on where it stands!

In this dojo you will master:

🏯 Ones, tens, hundreds, and thousands

🧩 Expanded form

🐊 Comparing and ordering 4-digit numbers

Ready to train your eyes to spot value fast? Let's begin! ✨

🥷

Numi the Number Ninja

🏯 Guards the place value palace

🔍 Spots the value of every digit

🧩 Loves splitting numbers into parts

🐊 Tames hungry comparison crocodiles

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Skill 1

🏯 What Does Each Digit Stand For?

Every number lives in a special place value house.

From right to left, the rooms are:

🟢 Ones

🟡 Tens

🟠 Hundreds

🔴 Thousands

Look at 4,582.

The 4 means 4,000. The 5 means 500. The 8 means 80. The 2 means 2.

Same digits, different rooms, different values! That is place value power. 💥

🏠

The Place Value House

🔴 Thousands = 1,000s

🟠 Hundreds = 100s

🟡 Tens = 10s

🟢 Ones = 1s

🧠 Quick Quiz!

In the number 7,364, what is the value of the digit 3?

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Skill 1

🔢 Reading 1s, 10s, 100s, and 1,000s

When we read a big number, we do not read each digit alone. We read each digit with its place.

2,145 means:

🔴 2 thousands

🟠 1 hundred

🟡 4 tens

🟢 5 ones

That is why 2,145 is much bigger than 245. It has a thousands digit!

Year 3 learners often build this with blocks. Year 5 learners must spot it quickly in words, tables, and problems.

Read It This Way

Number	How to read it
3,020	3 thousands, 2 tens
5,406	5 thousands, 4 hundreds, 6 ones
8,190	8 thousands, 1 hundred, 9 tens

📘 Place Value Tip

A place value question may hide the skill inside a word problem or table. Slow down and ask: what does each digit stand for?

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Skill 2

🧩 Expanded Form Breaks Numbers Apart

Expanded form shows that a whole number is really the sum of its parts.

Number	Expanded form
432	400 + 30 + 2
2,508	2,000 + 500 + 8
6,741	6,000 + 700 + 40 + 1
9,090	9,000 + 90

💡 Numi's Split Trick!

Write one part for each place. If a place has zero, it can disappear in expanded form. For example, 3,204 = 3,000 + 200 + 4. There are no tens, so no tens part appears.

🧠 Quick Quiz!

Which expanded form matches 5,682?

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Skill 2

🛠 Build the Number from Its Parts

Expanded form works in reverse too.

If you see 3,000 + 400 + 20 + 9, you can build the number 3,429.

This is useful when a question gives you clues instead of the finished number.

Example:

🔴 4 thousands

🟠 2 hundreds

🟡 7 tens

🟢 6 ones

The number is 4,276.

🧱

Build It Up

4️⃣ 4 thousands = 4,000

2️⃣ 2 hundreds = 200

7️⃣ 7 tens = 70

6️⃣ 6 ones = 6

🧠 Quick Quiz!

What number is 8,000 + 300 + 40 + 5?

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Skill 3

🐊 Comparing 4-Digit Numbers

To compare numbers, start with the biggest place first.

Compare the thousands. If they are the same, compare the hundreds. If those match, compare the tens, then the ones.

Example: 4,582 and 4,529

Thousands: both 4

Hundreds: both 5

Tens: 8 is bigger than 2

So 4,582 > 4,529.

This is why the comparison symbol opens its hungry mouth to the bigger number. 🐊

🐊

Comparison Crocodile

> Greater than

< Less than

= Equal to

🔍 Check left place to right place

💡 Compare in Order

Never start with the ones place when comparing big numbers. Start at the thousands place because it tells you the most.

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Skill 3

📏 Ordering Numbers from Smallest to Largest

Ordering numbers is just comparing them again and again until they line up correctly.

Numbers	Order
2,145 • 2,105 • 2,451	2,105, 2,145, 2,451
7,900 • 7,090 • 7,009	7,009, 7,090, 7,900
4,321 • 4,312 • 4,213	4,213, 4,312, 4,321

🧠 Quick Quiz!

Which list is in order from smallest to largest?

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Skill Check

🎯 Guided Practice Mission

Let's do a challenge-style mission together.

A toy shop sold 4,206 marbles in one month.

Ask yourself:

1. What is the value of the 2? 200

2. What is the number in expanded form? 4,000 + 200 + 6

3. Is 4,206 greater than 4,260? No, because 0 tens is less than 6 tens.

That is exactly how strong mathematicians unpack one number in several ways.

🎯

Three Checks

1️⃣ Spot the place

2️⃣ Split the number

3️⃣ Compare carefully

🏆 One number, many skills

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Skill Check

📝 Place Value Challenge Cards

Challenge	Answer
Value of the 5 in 6,152	50
Expanded form of 7,031	7,000 + 30 + 1
Largest: 4,908 or 4,890?	4,908
Smallest: 8,421, 8,214, 8,412	8,214

🌟 Smart Reader, Smart Mathematician

A lot of numeracy questions are really reading questions too. Read every digit carefully. One swapped digit can change the whole answer.

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Review

🧠 Review: The Place Value Code

T Thousands 🔴 ??? (tap to reveal!)

H Hundreds 🟠 ??? (tap to reveal!)

T Tens 🟡 ??? (tap to reveal!)

O Ones 🟢 ??? (tap to reveal!)

🔢 Each digit has a value because of its place.

🧩 Expanded form splits a number into place-value parts.

🐊 Compare from left to right.

📏 Ordering means comparing more than once.

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Review

✅ Common Mistakes to Avoid

Mistake 1: Saying the value of a digit is the digit itself.

In 3,482 the value of 8 is not 8. It is 80.

Mistake 2: Forgetting zero places.

In 5,204 the 0 means there are no tens.

Mistake 3: Comparing ones before thousands.

Always compare from the left, not the right.

Mistake 4: Writing incomplete expanded form.

6,340 is 6,000 + 300 + 40, not 6 + 3 + 4.

💡 Final Reminder

Whenever you feel stuck, draw a quick place value chart with columns for thousands, hundreds, tens, and ones. It turns a tricky question into an organised one.

🏆 Final Quiz!

The Place Value Ninja Challenge!

Answer 8 place value questions. You need at least 6 correct to earn your certificate! 🌟

Question 1 of 8 Score: 0 / 8

🏯

🎓

🏆 Certificate

Your Place Value Certificate!

Type the name above, then click Download or Print!