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Place Value with Large Numbers | Study Mondo
Topics / Place Value and Decimals / Place Value with Large Numbers Place Value with Large Numbers Understand place value up to millions and write numbers in different forms
BC Written and reviewed by Brendan Cusack , Study Mondo Education Team • Last updated February 16, 2026
🎯 ⭐ INTERACTIVE LESSON
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Start Interactive Lesson → Place Value with Large Numbers
Understanding Place Value
Each digit in a number has a value based on its position:
💡 Study Tips✓ Work through examples step-by-step ✓ Practice with flashcards daily ✓ Review common mistakes Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones 3 4 5 6 7 8 9
This number is: 3 million, 456 thousand, 789
Three Forms of Writing Numbers
1. Standard Form The regular way we write numbers: 3,456,789
2. Word Form Writing the number in words: three million, four hundred fifty-six thousand, seven hundred eighty-nine
3. Expanded Form Showing the value of each digit:
3 , 000 , 000 + 400 , 000 + 50 , 000 + 6 , 000 + 700 + 80 + 9 3,000,000 + 400,000 + 50,000 + 6,000 + 700 + 80 + 9 3 , 000 , 000 + 400 , 000 + 50 , 000 + 6 , 000 + 700 + 80 + 9
Comparing Large Numbers Compare digits from left to right:
5,234,567 vs 5,198,432 Same millions place (5)
Compare hundred thousands: 2 > 1
So 5,234,567 > 5,198,432
📚 Practice Problems
1 Problem 1easy ❓ Question:What is the value of the digit 6 in 2,684,301?
💡 Show Solution Solution:
Look at the place value chart:
The 6 is in the hundred thousands place
Value: 6 × 100 , 000 = 600 , 000 6 \times 100,000 = 600,000 6 × 100 , 000 = 600 , 000
Answer: 600,000 (six hundred thousand)
2 Problem 2easy ❓ Question:What is the value of the digit 6 in 2,684,301?
💡 Show Solution Solution:
Look at the place value chart:
The 6 is in the hundred thousands place
Value: 6 × 100 , 000 = 600 , 000 6 \times 100,000 = 600,000 6 × 100 , 000 =
3 Problem 3medium ❓ Question:Write 4,507,032 in expanded form.
💡 Show Solution Solution:
Break down each digit by its place value:
4 , 000 , 000 + 500 , 000 + 0 + 7 , 000 + 0 + 30 + 2 4,000,000 + 500,000 + 0 + 7,000 + 0 + 30 + 2 4 , 000 , 000 +
4 Problem 4medium ❓ Question:Write 4,507,032 in expanded form.
💡 Show Solution Solution:
Break down each digit by its place value:
4 , 000 , 000 + 500 , 000 + 0 + 7 , 000 + 0 + 30 + 2 4,000,000 + 500,000 + 0 + 7,000 + 0 + 30 + 2 4 , 000 , 000 +
5 Problem 5hard ❓ Question:Which number is greater: 8,456,210 or 8,462,105?
💡 Show Solution Solution:
Compare digit by digit from left to right:
Millions: 8 = 8 ✓Hundred thousands: 4 = 4 ✓Ten thousands: 5 < 6 ← Different!
Since 5 < 6 5 < 6 5 < 6
6 Problem 6hard ❓ Question:Which number is greater: 8,456,210 or 8,462,105?
💡 Show Solution Solution:
Compare digit by digit from left to right:
Millions: 8 = 8 ✓Hundred thousands: 4 = 4 ✓Ten thousands: 5 < 6 ← Different!
Since 5 < 6 5 < 6 5 < 6
Explain using: 📝 Simple words 🔗 Analogy 🎨 Visual desc. 📐 Example 💡 Explain
🧪 Practice Lab Interactive practice problems for Place Value with Large Numbers
▾ 📌 Related Topics in Place Value and Decimals❓ Frequently Asked QuestionsWhat is Place Value with Large Numbers?▾ Understand place value up to millions and write numbers in different forms
How can I study Place Value with Large Numbers effectively?▾ Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 6 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Place Value with Large Numbers study guide free?▾ Yes — all study notes, flashcards, and practice problems for Place Value with Large Numbers on Study Mondo are free to access. No account is needed.
What course covers Place Value with Large Numbers?▾ Place Value with Large Numbers is part of the Grade 5 Math course on Study Mondo, specifically in the Place Value and Decimals section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Place Value with Large Numbers?▾ Yes, this page includes 6 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.
600 , 000
Answer: 600,000 (six hundred thousand)
500
,
000
+
0 +
7 , 000 +
0 +
30 +
2
Or simply:
4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2 4,000,000 + 500,000 + 7,000 + 30 + 2 4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2
Answer: 4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2 4,000,000 + 500,000 + 7,000 + 30 + 2 4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2
500
,
000
+
0 +
7 , 000 +
0 +
30 +
2
Or simply:
4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2 4,000,000 + 500,000 + 7,000 + 30 + 2 4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2
Answer: 4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2 4,000,000 + 500,000 + 7,000 + 30 + 2 4 , 000 , 000 + 500 , 000 + 7 , 000 + 30 + 2
Answer:
Answer: