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Place Value with Large Numbers

Understand place value up to millions and write numbers in different forms

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Place Value with Large Numbers

Understanding Place Value

Each digit in a number has a value based on its position:

Example: 3,456,789

MillionsHundred ThousandsTen ThousandsThousandsHundredsTensOnes
3456789

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+93,000,000 + 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

1Problem 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=600,0006 \times 100,000 = 600,000

Answer: 600,000 (six hundred thousand)

2Problem 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=600,0006 \times 100,000 = 600,000

Answer: 600,000 (six hundred thousand)

3Problem 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+24,000,000 + 500,000 + 0 + 7,000 + 0 + 30 + 2

Or simply: 4,000,000+500,000+7,000+30+24,000,000 + 500,000 + 7,000 + 30 + 2

Answer: 4,000,000+500,000+7,000+30+24,000,000 + 500,000 + 7,000 + 30 + 2

4Problem 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+24,000,000 + 500,000 + 0 + 7,000 + 0 + 30 + 2

Or simply: 4,000,000+500,000+7,000+30+24,000,000 + 500,000 + 7,000 + 30 + 2

Answer: 4,000,000+500,000+7,000+30+24,000,000 + 500,000 + 7,000 + 30 + 2

5Problem 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<65 < 6 in the ten thousands place:

Answer: 8,462,105 is greater

6Problem 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<65 < 6 in the ten thousands place:

Answer: 8,462,105 is greater

Explain using:
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📌 Related Topics in Place Value and Decimals

Adding and Subtracting DecimalsMultiplying DecimalsDividing Decimals

❓ Frequently Asked Questions

What 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.