Place Value to Millions

Grade 4 · mathematics · 78 practice problems · read aloud

🔊 Listen to this explanation

Place Value to Millions

🔍 What is Place Value?

Place value helps us understand what each digit in a large number actually means. It's like knowing that in the number 4,672, the '4' is worth 4,000, not just 4. This is super useful for reading big numbers, comparing them, and doing calculations correctly!

📝 Step-by-Step Guide

  1. Identify the Place Value Columns: From right to left, the places are: Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, Millions.
  2. Read the Number in Groups: Separate the number into groups of three digits from the right. These are ones, thousands, and millions.
  3. Say the Group Name: Read each three-digit group, then say the group name (million, thousand, or nothing for ones).

✨ Visual Examples

Example 1: 7,342,165

Let's break it down using a place value chart:

Millions: 7 | Hundred Thousands: 3 | Ten Thousands: 4 | Thousands: 2 | Hundreds: 1 | Tens: 6 | Ones: 5

We read this as: Seven million, three hundred forty-two thousand, one hundred sixty-five.

Example 2: 4,050,300

Breakdown:

Millions: 4 | Hundred Thousands: 0 | Ten Thousands: 5 | Thousands: 0 | Hundreds: 3 | Tens: 0 | Ones: 0

We read this as: Four million, fifty thousand, three hundred. Notice we don't say the zeros!

⚠️ Common Mistakes

  • Forgetting the "Thousand" or "Million": Saying "four fifty three" for 453,000 instead of "four hundred fifty-three thousand."
  • Saying Zero Incorrectly: Reading every '0' aloud. If a place has a zero, you usually skip it (like in 4,050,300 above).
  • Mixing Up Columns: Confusing the hundred thousands and ten thousands places. Remember, it's Hundred Thousands, then Ten Thousands.

💡 Tips & Tricks

  • Use Commas as Guides: Commas separate the millions, thousands, and ones. They are your best friends!
  • Make a Place Value Chart: Draw a simple chart with columns labeled M, H-Th, T-Th, Th, H, T, O to organize digits.
  • Triple Check: Always read your final answer back to see if it makes sense. Does "four million" sound right for a number starting with 4?

🎯 Practice Suggestions

  • Write it Out: Take turns with a friend writing large numbers (up to 9,999,999) and reading them aloud.
  • Real-World Numbers: Look for big numbers in newspapers or online (like populations or distances) and practice reading them.
  • Digit Dice: Roll a die 7 times to create a 7-digit number. Then, write it with commas and say it correctly!

Practice problems

6 of the 78, worked through step by step — try them before opening the answer.

1 7,315,289 × 1 = ?

Hint: Think about what happens to any number when you multiply it by 1. The identity property of multiplication tells us that the number stays the same.

Show the answer

Answer: 7,315,289

  1. Start with 7,315,289.
  2. Multiply by 1. The identity property of multiplication says that any number multiplied by 1 equals itself.
  3. 7,315,289 × 1 = 7,315,289.

The answer is 7,315,289.

2 7,205,834 × 10 = ?

Hint: Think about what happens to each digit when you multiply by 10. How does the place value of each digit change?

Show the answer

Answer: 72,058,340

  1. Start with 7,205,834.
  2. Multiplying by 10 means each digit moves one place to the left in the place value chart.
  3. The 7 in the millions place becomes 7 in the ten-millions place.
  4. The 2 in the hundred-thousands place becomes 2 in the millions place.
  5. The 0 in the ten-thousands place becomes 0 in the hundred-thousands place.
  6. The 5 in the thousands place becomes 5 in the ten-thousands place.
  7. The 8 in the hundreds place becomes 8 in the thousands place.
  8. The 3 in the tens place becomes 3 in the hundreds place.
  9. The 4 in the ones place becomes 4 in the tens place.
  10. A zero is added in the ones place.
  11. So, 7,205,834 × 10 = 72,058,340.

The answer is 72,058,340.

3 6,205,830 × 10 = ?

Hint: Think about what happens to each digit when you multiply by 10. Each digit moves one place to the left in the place value chart.

Show the answer

Answer: 62,058,300

  1. Start with 6,205,830
  2. Multiplying by 10 means each digit moves one place to the left.
  3. The 6 in the millions place becomes 6 in the ten-millions place.
  4. The 2 in the hundred-thousands place becomes 2 in the millions place.
  5. The 0 in the ten-thousands place becomes 0 in the hundred-thousands place.
  6. The 5 in the thousands place becomes 5 in the ten-thousands place.
  7. The 8 in the hundreds place becomes 8 in the thousands place.
  8. The 3 in the tens place becomes 3 in the hundreds place.
  9. The 0 in the ones place becomes 0 in the tens place.
  10. A zero is added in the ones place.
  11. The result is 62,058,300.

The answer is 62,058,300.

4 6,204,830 × 10 = ?

Hint: Think about what happens to each digit when you multiply by 10. How does the place value of each digit change?

Show the answer

Answer: 62,048,300

  1. Start with 6,204,830.
  2. Multiplying by 10 means each digit moves one place to the left in the place value chart.
  3. The 6 in the millions place becomes 6 in the ten-millions place.
  4. The 2 in the hundred-thousands place becomes 2 in the millions place.
  5. The 0 in the ten-thousands place becomes 0 in the hundred-thousands place.
  6. The 4 in the thousands place becomes 4 in the ten-thousands place.
  7. The 8 in the hundreds place becomes 8 in the thousands place.
  8. The 3 in the tens place becomes 3 in the hundreds place.
  9. The 0 in the ones place becomes 0 in the tens place.
  10. A zero is added in the ones place.
  11. The result is 62,048,300.

The answer is 62,048,300.

5 5,381,604 × 10 = ?

Hint: Think about what happens to each digit when you multiply by 10. How does the place value of each digit shift?

Show the answer

Answer: 53,816,040

  1. Start with 5,381,604.
  2. Multiplying by 10 means each digit moves one place to the left in the place value chart.
  3. The 5 in the millions place becomes 5 in the ten-millions place.
  4. The 3 in the hundred-thousands place becomes 3 in the millions place.
  5. The 8 in the ten-thousands place becomes 8 in the hundred-thousands place.
  6. The 1 in the thousands place becomes 1 in the ten-thousands place.
  7. The 6 in the hundreds place becomes 6 in the thousands place.
  8. The 0 in the tens place becomes 0 in the hundreds place.
  9. The 4 in the ones place becomes 4 in the tens place.
  10. A zero is added in the ones place.
  11. The result is 53,816,040.

The answer is 53,816,040.

6 3,456,789 ÷ 1,000 = ?

Hint: When dividing by 1,000, each digit moves three places to the right in the place value chart.

Show the answer

Answer: 3456.789

  1. Understand what dividing by 1,000 means. Dividing by 1,000 is the same as moving the decimal point 3 places to the left. This is because 1,000 = 10^3, so we shift the decimal point 3 places left.
  2. Locate the decimal point in the original number. 3,456,789 is the same as 3,456,789.0 (decimal point at the end).
  3. Move the decimal point 3 places to the left. Start: 3,456,789.0 Move once: 345,678.90 Move twice: 34,567.890 Move three times: 3,456.7890
  4. Write the final number. After moving three places left, we get 3456.789 (trailing zero after 9 can be dropped).
  5. Verify by multiplication. 3456.789 × 1000 = 3,456,789. This matches the original number, so the division is correct. ANSWER: 3456.789

Let's solve 3,456,789 ÷ 1,000 step by step.

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