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

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!

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

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