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Place Value Powers Practice

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Place Value Powers Practice

📊 Part 1: Understanding Place Value

1. Write these numbers in expanded form using powers of 10:

a) 234,567 = _____ × 10⁵ + _____ × 10⁴ + _____ × 10³ + _____ × 10² + _____ × 10¹ + _____ × 10⁰

b) 891,023 = _____ × 10⁵ + _____ × 10⁴ + _____ × 10³ + _____ × 10² + _____ × 10¹ + _____ × 10⁰

2. What is the value of the digit 7 in each number?

7

70

700

70,000

3. Write the number that has:

• 3 in the ten thousands place

• 8 in the thousands place

• 0 in the hundreds place

• 5 in the tens place

• 7 in the ones place

• 2 in the hundred thousands place

Answer: _______________

4. Which statements about the number 456,789 are correct? (Tick all that apply)

The 4 represents 400,000

The 5 is in the thousands place

The 6 represents 6,000

The 7 is worth more than the 8

🌍 Part 2: Real-World Applications

5. The population of Auckland is approximately 1,695,000 people.

a) What is the value of the digit 9? _______________

b) Write this number in expanded form: _______________

6. A new stadium cost $287,450,000 to build.

a) Round this to the nearest million dollars: $_______________

b) What digit is in the ten millions place? _______________

7. Challenge: Create your own 6-digit number where:

• The hundreds digit is 3 times the tens digit

• The thousands digit is half the hundreds digit

• All other digits are different

8. Explain in your own words why understanding place value is important in everyday life. Give two examples.

🤔 Part 3: Reflection & Extension

9. Extension Challenge: If you multiply 234,567 by 10³, what happens to each digit's place value? Explain your thinking.
10. What did you learn about place value today that you didn't know before?
11. Do you have any questions about place value that you'd like to explore further?

✅ Answers

1. a) 200,000 + 30,000 + 4,000 + 500 + 60 + 7
1. b) 800,000 + 90,000 + 1,000 + 20 + 3
2. 700
3. 2,385,072
4. The 4 represents 400,000; The 5 is in the thousands place; The 6 represents 6,000
5. a) 90,000
5. b) 1,000,000 + 600,000 + 90,000 + 5,000
6. a) $287,000,000
6. b) 8
7. Example: 1,236,789 (where hundreds digit is 3, tens digit is 1, thousands digit is 2)
8. Answers will vary; examples include: understanding prices in stores, reading numbers on bills.
9. Each digit moves three places to the left, increasing its value by a factor of 1,000.
10. Answers will vary based on individual learning.
11. Answers will vary based on individual curiosity.

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