Expanded & Standard Form of Numbers – Class 3 & 4 Maths | CBSE & UP Board | GPN

Class 3 Class 4 CBSE UP Board

🧩 Expanded Form & Standard Form – Two Sides of the Same Number!

Every number has a secret identity. Sometimes it looks like 4,672, and sometimes it stretches out like 4,000 + 600 + 70 + 2. Let's learn how to transform numbers back and forth – like magic, but it's maths!

📖 In this post:

1 What is Standard Form? What is Expanded Form?
2 Converting Standard → Expanded
3 Converting Expanded → Standard
4 Word Form (Number Names)
5 Common Mistakes to Avoid
6 Word Problems
7 Practice Zone

1. 🤔 What is Standard Form? What is Expanded Form?

Standard form is the normal way we write numbers – quick and compact. Expanded form stretches the number out to show the value of each digit.

📌 Think of it like a puzzle:

Standard form = the finished puzzle (4,672)
Expanded form = all the pieces laid out (4,000 + 600 + 70 + 2)

4,672

⚡

4,000

600

Both show the same number – just different ways of looking at it!

Example

Which is standard form and which is expanded form? (a) 3,891 (b) 2,000 + 700 + 40 + 9

▶ Show Answer ▼

(a) 3,891 → standard form
(b) 2,000+700+40+9 → expanded form

2. 🔄 Converting Standard Form to Expanded Form

Step 1: Write the number in a place value chart.
Step 2: Write each digit's value based on its place.
Step 3: Add them with + signs.

Thousands

Hundreds

Tens

Ones

= 3,000 + 400 + 80 + 2

Example 1

Write 5, 2 3 9 in expanded form.

▶ Show Solution ▼

5,000 + 200 + 30 + 9

Example 2

Write 6, 0 4 8 in expanded form.

▶ Show Solution ▼

6,000 + 0 + 40 + 8 = 6,000 + 40 + 8

Example 3 (4‑digit)

Write 9, 3 0 5 in expanded form.

▶ Show Solution ▼

9,000 + 300 + 0 + 5 = 9,000 + 300 + 5

✍️ Try yourself: Write in expanded form:

3, 7 2 8
5, 0 9 1
8, 4 0 0

» Can you tell if 37 is even or odd without counting? Jump into even and odd numbers to learn the ones-digit trick, then grab the free worksheet for quick practice. Once you've mastered that, explore what comes before, after and between and challenge yourself with the practice worksheet to become a number sequence expert.

3. 🔁 Converting Expanded Form to Standard Form

This is like putting the puzzle pieces back together! Just add all the values.

2,000

500

2,573

Example 1

Write in standard form: 4,000 + 300 + 20 + 6

▶ Show Solution ▼

4,000 + 300 = 4,300
4,300 + 20 = 4,320
4,320 + 6 = 4,326

Example 2 (with zero)

Write in standard form: 7,000 + 0 + 90 + 2

▶ Show Solution ▼

7,000 + 90 + 2 = 7,092

Example 3 (5‑digit)

Write in standard form: 20,000 + 3,000 + 400 + 50 + 7

▶ Show Solution ▼

23,457

✍️ Try yourself: Write in standard form:

3,000 + 600 + 40 + 8
8,000 + 20 + 5
50,000 + 4,000 + 300 + 10 + 9

4. 📝 Word Form (Number Names)

Numbers can also be written in words. This is called word form.

⚠️ Tricky ones to watch:

1,234 → one thousand two hundred thirty-four (no "and" needed in CBSE style)
3,005 → three thousand five
40 → forty (not fourty!)

Example

Write 5, 8 3 2 in word form.

▶ Show Answer ▼

five thousand eight hundred thirty-two

Example

Write 9, 0 4 6 in word form.

▶ Show Answer ▼

nine thousand forty-six

Example

Write in standard form: six thousand two hundred eight

▶ Show Solution ▼

six thousand = 6,000
two hundred = 200
eight = 8
Total = 6,208

✍️ Try yourself:

Write 4, 7 3 9 in word form.
Write 8, 0 1 5 in word form.
Write in standard form: three thousand five hundred sixty-one

5. ⚠️ Common Mistakes to Avoid

❌ Forgetting zero placeholders:

Wrong: 3,000 + 5 = 35
Correct: 3,000 + 5 = 3,005 (the hundreds and tens are empty, so we put zeros)

❌ Mixing up expanded form and word form:

Expanded form uses numbers: 4,000 + 600 + 20 + 9
Word form uses words: four thousand six hundred twenty-nine

❌ Using "and" incorrectly:

In whole numbers, we don't use "and". "And" is for decimals.
Wrong: three hundred and forty-five
Correct: three hundred forty-five

Mistake Detector

A student wrote 50,000 + 2,000 + 40 + 8 as 52,408. Is this correct?

▶ Check ▼

50,000 + 2,000 = 52,000
52,000 + 40 = 52,040
52,040 + 8 = 52,048
The student forgot the zero in the tens place!

Time to level up your grammar game! Dive into present tense rules and tackle the free worksheet to lock it in. Then travel back in time with past tense and reinforce everything using the dedicated practice sheet.
हिंदी व्याकरण की यात्रा जारी रखें! संज्ञा के वचन को विस्तार से समझें और अभ्यास वर्कशीट से अपनी पकड़ मज़बूत करें। उसके बाद संज्ञा के कारक की बारीकियों को जानें और वर्कशीट से अभ्यास करके महारत हासिल करें।

6. 📚 Real-Life Word Problems

Problem 1

A library has 3,245 books. Write this number in expanded form and word form.

▶ Show Solution ▼

Expanded: 3,000 + 200 + 40 + 5
Word: three thousand two hundred forty-five

Problem 2

An amusement park sold 10,056 tickets in one day. Write the number of tickets in expanded form.

▶ Show Solution ▼

10,000 + 0 + 0 + 50 + 6 = 10,000 + 50 + 6

Problem 3

A farmer packed 4,058 apples. Write this number in expanded form and word form.

▶ Show Solution ▼

Expanded: 4,000 + 0 + 50 + 8 = 4,000 + 50 + 8
Word: four thousand fifty-eight

Problem 4

The expanded form of a number is 5,000 + 200 + 70 + 3. What is the number? If you add 2 more hundreds, what is the new number?

▶ Show Solution ▼

5,000 + 200 + 70 + 3 = 5,273
2 more hundreds = 200 more → 5,273 + 200 = 5,473

✏️ Practice Zone

Try all questions yourself first. Click the answer key only after you've finished.

🟡 Class 3 Level

Q1. Write 4, 3 7 2 in expanded form.
Q2. Write 8,000 + 400 + 60 + 9 in standard form.
Q3. Write 2, 0 1 8 in expanded form.
Q4. Write 5,000 + 30 + 7 in standard form.
Q5. Write 7, 4 6 3 in word form.
Q6. Write six thousand two hundred five in standard form.
Q7. Fill in: 3,000 + ____ + 80 + 1 = 3,581
Q8. Which is bigger: 4,000 + 600 + 20 or 4,000 + 500 + 90?

🔵 Class 4 Level

Q9. Write 23, 4 5 6 in expanded form.
Q10. Write 50,000 + 3,000 + 400 + 20 + 8 in standard form.
Q11. Write 8, 0 3 7 in word form.
Q12. Write in standard form: forty-seven thousand eight hundred three.
Q13. The expanded form of a number is 60,000 + 0 + 700 + 0 + 5. Write the number in standard form and word form.
Q14. A student wrote 9, 0 5 0 as nine thousand fifty. Is this correct? Why or why not?
Q15. Arrange in ascending order: 4,000+300+20+8; 4,000+500+10; 4,000+200+90+7
Q16. Create your own 4-digit number. Write it in expanded form and word form.

🟢 Match the Following

1. 5,000 + 300 + 20 + 4

A. five thousand thirty

2. 5,030

B. 8,000 + 0 + 70 + 5

3. eight thousand seventy-five

C. 5,324

4. 8,075

D. 5,030

🔑 Show Answer Key ▼

Q1. 4,000 + 300 + 70 + 2
Q2. 8,469
Q3. 2,000 + 0 + 10 + 8 = 2,000 + 10 + 8
Q4. 5,037
Q5. seven thousand four hundred sixty-three
Q6. 6,205
Q7. 500
Q8. 4,000+600+20 = 4,620; 4,000+500+90 = 4,590 → 4,620 is bigger
Q9. 20,000 + 3,000 + 400 + 50 + 6
Q10. 53,428
Q11. eight thousand thirty-seven
Q12. 47,803
Q13. 60,705; sixty thousand seven hundred five
Q14. Yes, 9,050 is nine thousand fifty (the zero in tens is not said)
Q15. 4,327; 4,297; 4,510 → 4,297, 4,327, 4,510
Match: 1→C, 2→D, 3→A, 4→B

📄 Practice Worksheet

Reinforce expanded form, standard form, and word form with our 35‑question practice worksheet – includes word problems, match the following, and answer key.

📝 Go to Practice Worksheet

« Place Value & Face Value Primary Index Numbers Using Place Value Blocks »

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