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Place Value Powers
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Place Value Powers
📊 Part 1: Understanding Place Values as Powers of Ten
1. What does the digit 5 represent in the number 5,432?
5 × 10¹
5 × 10²
5 × 10³
5 × 10⁴
2. Which of these correctly shows 100 as a power of ten?
10¹
10²
10³
10⁰
3. In the number 7,850, what does the digit 8 represent? Select all that apply:
8 hundreds
8 × 10²
800
8 × 100
4. Complete this pattern: 10⁰ = 1, 10¹ = 10, 10² = 100, 10³ = _______
Answer: ___________
✏️ Part 2: Writing Numbers in Exponent Notation
5. Write 2,400 in expanded form using powers of ten:
2,400 = ___ × 10³ + ___ × 10² + ___ × 10¹ + ___ × 10⁰
6. Express these place values using exponent notation:
a) Ten thousands place = 10____
b) Hundreds place = 10____
c) Ones place = 10____
7. The number 45,000 can be written as:
45 × 10²
45 × 10³
4.5 × 10⁴
Both b and c are correct
8. Explain in your own words why each place value in our number system is a power of ten:
🧠 Part 3: Problem Solving with Powers
9. A school has 12,350 students. Write this number showing each digit's place value using powers of ten:
10. Extension Challenge: If 10⁰ = 1, explain why this makes sense using the pattern of powers of ten. Use examples in your explanation:
11. Create your own 5-digit number and express it in expanded form using exponent notation:
My number: _______________
Expanded form: ________________________________
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