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Decimal Expanded Form
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Decimal Expanded Form
📚 Part 1: Understanding Powers of Ten
1. What is the value of 10⁻¹?
0.01
0.1
1
10
2. Which decimal equals 3 × 10⁻²?
0.3
0.03
3.0
30
3. What power of ten represents the hundredths place?
10⁻¹
10⁻²
10⁻³
10²
4. Which expanded form correctly shows 0.25?
2 × 10¹ + 5 × 10⁰
2 × 10⁻¹ + 5 × 10⁻²
2 × 10⁻² + 5 × 10⁻¹
25 × 10⁻²
✏️ Part 2: Writing Expanded Form
5. Write 4.73 in expanded form using powers of 10.
6. Write 0.506 in expanded form using powers of 10.
7. Write 12.08 in expanded form using powers of 10.
8. Complete the expanded form: 7.234 = 7 × _____ + 2 × _____ + 3 × _____ + 4 × _____
🎯 Part 3: Problem Solving
9. A measurement shows 3.45 metres. Write this decimal in expanded form and explain what each digit represents in the context of metres, centimetres, and millimetres.
10. If a price is $15.67, write this amount in expanded form using powers of 10. Then explain what each part represents in dollars and cents.
11. Challenge: Write the decimal that equals 5 × 10⁰ + 3 × 10⁻¹ + 8 × 10⁻³
Answer: ___________
12. Explain in your own words why we use negative powers of 10 for decimal places.
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