The image contains examples of expanded forms using powers of 10. Let me explain how these expanded forms work and help clarify any details.

For instance, consider question 9:

Problem:

$7 \times 10^8 + 3 \times 10^5 + 8 \times 10^1 + 9 \times 10^2 + 8 \times 10^0$

Solution:

This represents the expanded form of a number where each digit is multiplied by the appropriate power of 10 based on its place value. When simplified:

1. $7 \times 10^8 = 700,000,000$
2. $3 \times 10^5 = 300,000$
3. $8 \times 10^1 = 80$
4. $9 \times 10^2 = 900$
5. $8 \times 10^0 = 8$

Adding these together gives: $700,000,000 + 300,000 + 900 + 80 + 8 = 700,300,988$

This is how expanded notation is computed.

Would you like me to go through the other examples on this worksheet, or do you have specific ones in mind?

Here are five follow-up questions for practice:

1. What is the expanded form of $5,803$ using powers of 10?
2. How do you represent $8.02$ in expanded form using decimal powers of 10?
3. Can you identify the pattern in the powers of 10 for larger numbers like $1,230,450$?
4. How do you handle zeros when writing expanded forms?
5. How would the expanded form change if you include decimals (e.g., $123.45$)?

Tip: Always align each digit with its correct place value to avoid miscalculations!