🎯 Part 1: Powers of 10 Knowledge Check

1. Which number equals 10³?

30

300

1,000

3,000

2. What is the decimal form of 10⁻²?

0.1

0.01

0.001

0.0001

3. Which of these numbers are written in correct scientific notation? (Check all that apply)

2.5 × 10⁴

15.6 × 10³

7.89 × 10⁻²

0.45 × 10⁵

4. Fill in the missing powers of 10:

10⁴ = __________ 10⁻³ = __________ 10⁶ = __________

✏️ Part 2: Converting and Connecting

5. Match the fraction to its decimal and power of 10 form:

1/100 = _______ = 10_____

1/1000 = _______ = 10_____

1/10 = _______ = 10_____

6. Write these numbers in scientific notation:

a) 45,000 = ________________

b) 0.0067 = ________________

c) 234,000,000 = ________________

7. Order these numbers from smallest to largest:

3.2 × 10⁻¹, 5.8 × 10², 1.4 × 10⁻³, 7.1 × 10⁴

🌟 Part 3: Real-World Applications

8. A bacterium measures 0.000002 metres in length. Write this in scientific notation and explain why scientific notation is useful for this measurement.

9. The distance from Earth to the Sun is approximately 1.5 × 10⁸ kilometres. Write this distance in standard form (normal number format).

10. Extension Challenge: If you multiply 3.2 × 10⁴ by 2.5 × 10³, what is the result in scientific notation? Show your working.

Powers of 10 Progression

Powers of 10 Progression

🎯 Part 1: Powers of 10 Knowledge Check

✏️ Part 2: Converting and Connecting

🌟 Part 3: Real-World Applications

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